diff --git a/thesis2/.gitignore b/thesis2/.gitignore new file mode 100644 index 0000000..2542638 --- /dev/null +++ b/thesis2/.gitignore @@ -0,0 +1,17 @@ +#Compilation byproducts +*.aux +*.bbl +*.toc +*.lof +*.lot +*.blg +*.log +*.nav +*.out +*.snm +thesis.pdf +comment.cut +feyngraph.mp + +*.pdf +refs/* diff --git a/thesis2/Makefile b/thesis2/Makefile new file mode 100644 index 0000000..ce15a60 --- /dev/null +++ b/thesis2/Makefile @@ -0,0 +1,15 @@ +DOCNAME = thesis + +INPUT = $(DOCNAME).tex +TARGET= $(DOCNAME).pdf + +default: $(TARGET) + +$(TARGET): $(INPUT) Makefile chapters/*.tex custom_macro.tex mythesis.sty + @rm -f $(DOCNAME).{aux,toc,lof,lot} + pdflatex $< && bibtex $(DOCNAME) && pdflatex $< && pdflatex $< + +clean: + @rm -f *.{aux,toc,lof,lot} + @rm -f *.{aux,bbl,blg,log,nav,out,snm,toc,lot,lof} $(TARGET) + @rm -f comment.cut diff --git a/thesis2/chapters/appendices.tex b/thesis2/chapters/appendices.tex new file mode 100644 index 0000000..7eb5a08 --- /dev/null +++ b/thesis2/chapters/appendices.tex @@ -0,0 +1,28 @@ +%% The "\appendix" call has already been made in the declaration +%% of the "appendices" environment (see thesis.tex). +\chapter{Pointless extras} +\label{app:Pointless} + +\chapterquote{% +Le savant n'\'etudie pas la nature parce que cela est utile; \\ +\indent il l'\'etudie parce qu'il y prend plaisir, \\ +\indent et il y prend plaisir parce qu'elle est belle.}% +{Henri Poincar\'e, 1854--1912} + +Appendixes (or should that be ``appendices''?) make you look really clever, 'cos +it's like you had more clever stuff to say than could be fitted into the main +bit of your thesis. Yeah. So everyone should have at least three of them\dots + +\section{Like, duh} +\label{sec:Duh} +Padding? What do you mean? + +\section{$y = \alpha x^2$} +\label{sec:EqnTitle} +See, maths in titles automatically goes bold where it should (and check the +table of contents: it \emph{isn't} bold there!) Check the source: nothing +needs to be specified to make this work. Thanks to Donald Arsenau for the +teeny hack that makes this work. + +%% Big appendixes should be split off into separate files, just like chapters +%\input{app-myreallybigappendix} diff --git a/thesis2/chapters/backmatter.tex b/thesis2/chapters/backmatter.tex new file mode 100644 index 0000000..9f77480 --- /dev/null +++ b/thesis2/chapters/backmatter.tex @@ -0,0 +1,19 @@ +%\begin{colophon} + %This thesis was made in \LaTeXe{} using the ``hepthesis'' class~\cite{hepthesis}. +%\end{colophon} + +%% You're recommended to use the eprint-aware biblio styles which +%% can be obtained from e.g. www.arxiv.org. The file mythesis.bib +%% is derived from the source using the SPIRES Bibtex service. +\bibliographystyle{h-physrev} +\bibliography{thesis} + +%% I prefer to put these tables here rather than making the +%% front matter seemingly interminable. No-one cares, anyway! +%\listoffigures +%\listoftables + +%% If you have time and interest to generate a (decent) index, +%% then you've clearly spent more time on the write-up than the +%% research ;-) +%\printindex diff --git a/thesis2/chapters/chap1_intro.tex b/thesis2/chapters/chap1_intro.tex new file mode 100644 index 0000000..6c2749e --- /dev/null +++ b/thesis2/chapters/chap1_intro.tex @@ -0,0 +1,88 @@ +\chapter*{Introduction} +\thispagestyle{empty} +\addcontentsline{toc}{chapter}{Introduction} +\label{cha:introduction} + +%% Restart the numbering to make sure that this is definitely page #1! +\pagenumbering{arabic} + + +%\begin{itemize} + %\item CLFV in 3 lines + %\item COMET in 3 lines + %\item structure of the thesis: + %\begin{itemize} + %\item physics motivation of CLFV, COMET (chap 1) + %\item overview of COMET, Phase-I, requirements for detectors (chap 2) + %\item details of the proton measurements: + %\begin{itemize} + %\item physics (chap 3) + %\item method (chap 4) + %\item experimental set up, calibration (chap 4? or 5 ) + %\item data analysis (chap 5) + %\item results, impact (chap 6) + %\end{itemize} + %\end{itemize} +%\end{itemize} +%\begin{comment} +%The Standard Model (SM) is the most successful theory of particle physics +%as it could account for almost all experimental data from high energy +%experiments. The discovery of a Higgs-like boson at the LHC in 2012 is another +%triumph of the theory. However, it is known that the SM has its limitations, +%one example is there is no explanation for the existence of lepton +%flavours and flavour conservation. +%theory. For example, it does not explain the origin of mass, the nature of dark +%matter, or neutrino oscillations. + +%The lepton flavour conservation in the SM is assured by assuming neutrinos are +%massless. But, extensive experiments with atmospheric, solar, accelerator, +%reactor neutrinos have shown that neutrinos have non-zero masses, and they do +%mix between flavours~\cite{BeringerArguin.etal.2012}. In other words, lepton +%flavour violation (LFV) does occur in neutrino oscillations. + +%While lepton flavour is totally violated in the neutrino sector, no charged +%lepton flavour violation (CLFV) has ever been observed. Therefore, any +%experimental evidence of lepton flavour violation with charged lepton would be +%a breakthrough that leads to new physics beyond the SM. +%\end{comment} +%The Standard Model (SM) is the most successful theory of particle physics +%as it could account for almost all experimental data from high energy +%experiments. However, it is also known that the SM has its +%TODO: wording /duplicaitons +The COMET experiment~\cite{COMET.2007}, proposed at the Japan Proton +Accelerator Research Complex (J-PARC), is a next-generation-experiment that +searches for evidence of charged lepton flavour violation (CLFV) with muons. +The branching ratio of CLFV in the Standard Model, even with massive neutrinos, +is prohibitively small, at the order of $10^{-54}$. Therefore, any experimental +observation of CLFV would be a clear signal of new physics beyond the SM. + +The COMET (\textbf{CO}herent \textbf{M}uon to \textbf{E}lectron +\textbf{T}ransition) Collaboration aims to probe the conversion of a muon to +an electron in a nucleus field at a sensitivity of $6\times10^{-17}$, pushing +for a four orders of magnitude improvement from the current limit set by the +SINDRUM-II~\cite{Bertl.etal.2006}. A staging approach is adopted at the COMET +to achieve an intermediate physics result, as well as to gain operational +experience. The first stage, COMET Phase I, is scheduled to start in 2016 with +the goal sensitivity of $3\times 10^{-15}$ after a three-month-running period. + +A cylindrical drift chamber being developed by the Osaka University group +will be the main tracking detector in the COMET Phase I. It is anticipated that +the chamber will be heavily occupied by protons emitted after nuclear muon +capture in the stopping target, and thus an absorber will be installed to +reduce the proton hit rate to a tolerable level. A study of proton emission +following nuclear muon capture for optimisation of the proton absorber is +presented in this thesis. + +The thesis is structured as follows: +firstly, +the physics motivation of the COMET experiment, with muon's normal decays and +CLFV decays, is described in Chapter~\ref{cha:clfv}. +Chapter~\ref{cha:comet_overview} gives an overview of the +COMET experiment: beam lines, detectors and their requirements, and expected +sensitivities. Details of the study on proton emission are described in +Chapters~\ref{cha:alcap_phys},~\ref{cha:the_alcap_run_2013},~\ref{cha:data_analysis}: +physics, method, experimental set up, data analysis. The results and impacts of +the study on COMET Phase-I design is discussed in +Chapter~\ref{cha:discussions}. + +% chapter introduction (end) diff --git a/thesis2/chapters/chap2_mu_e_conv.tex b/thesis2/chapters/chap2_mu_e_conv.tex new file mode 100644 index 0000000..6c6166c --- /dev/null +++ b/thesis2/chapters/chap2_mu_e_conv.tex @@ -0,0 +1,369 @@ +\chapter{Lepton flavour and $\mu-e$ conversion} +\thispagestyle{empty} +\label{cha:clfv} + +\section{Lepton flavour} +\label{sec:lepton_flavour} +According to the SM, all matter is built from a small set of fundamental +spin one-half particles, called fermions: six quarks and six leptons. +The six leptons form three generations (or flavours), namely: +\begin{equation*} + \binom{\nu_e}{e^-}, \quad \binom{\nu_\mu}{\mu^-} \quad \textrm{ and } \quad + \binom{\nu_\tau}{\tau^-} +\end{equation*} + +Each lepton is assigned a lepton flavour quantum number, $L_e$, $L_\mu$, +$L_\tau$, equals to $+1$ for each lepton and $-1$ for each antilepton of the +appropriate generation. The lepton flavour number is conserved in the SM, for +example in the decay of a positive pion: +\begin{align*} + &\pi^+ \rightarrow \mu^+ + \nu_\mu \\ + L_\mu \quad &0\quad \textrm{ }-1 \quad +1 +\end{align*} +or, the interaction of an electron-type antineutrino with a proton (inverse +beta decay): +\begin{align*} + &\quad \overline{\nu}_e + p \rightarrow e^+ + n \\ + L_e \quad &-1 \quad \textrm{ }0 \quad -1 \textrm{ } \quad 0 +\end{align*} + +The decay of a muon to an electron and a photon, where lepton flavour numbers +are violated by one unit or more, is forbidden: +%(the limit +%on this branching ratio is \meglimit~at 90\% confidence level +%(C.L.)~\cite{Adam.etal.2013}). +\begin{equation} + \begin{aligned} + &\quad \mu^+ \rightarrow e^+ + \gamma\\ + L_\mu \quad &-1 \qquad 0 \qquad 0\\ + L_e \quad &\quad 0 \quad -1 \qquad 0 + \end{aligned} + \label{eq:mueg} +\end{equation} +%One more decay? + +%\hl{TODO: Why massless neutrinos help lepton flavour conservation??} +%\hl{TODO: copied from KunoOkada} + %In the minimal version of the SM, where only one Higgs doublet is included and + %massless neutrinos are assumed, lepton flavor conservation is an automatic + %consequence of gauge invariance and the renormalizability of the SM + %Lagrangian. It is the basis of a natural explanation for the smallness of + %lepton flavor violation (LFV) in charged lepton processes. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Muon and its decays in the Standard Model} +\label{sec:muon_decay_in_the_standard_model} + +\subsection{Basic properties of the muon} +\label{sub:basic_properties_of_the_muon} + +The muon is a charged lepton, its static properties have been measured with +great precisions and are summarised in the ``Review of Particle Physics'' of +the Particle Data Group (PDG)~\cite{BeringerArguin.etal.2012}. Some of the +basic properties are quoted as follows: +\begin{enumerate} + \item The muon mass is given by the muon to electron mass ratio, + \begin{align} + \frac{m_\mu}{m_e} &= 206.768 2843 \pm 0.000 0052\\ + m_\mu &= 105.6583715 \pm 0.0000035 \textrm{ MeV/}c^2 + \end{align} + \item The spin of the muon is determined to + be $\frac{1}{2}$ as the measurements of the muon's gyromagnetic give + $g_\mu = 2$ within an overall accuracy better than 1 ppm. It is common to + quoted the result of $g_\mu$ as muon magnetic moment anomaly: + \begin{equation} + \frac{g-2}{2} = (11659209 \pm 6)\times 10^{-10} + \end{equation} + \item The charge of the muon is known to be equal to that of the + electron within about 3 ppb, + \begin{equation} + \frac{q_{\mu^+}}{q_{e^-}} + 1 = (1.2 \pm 2.1)\times 10^{-9} + \end{equation} + \item Electric dipole moment: + \begin{equation} + d = \frac{1}{2}(d_{\mu^-} - d_{\mu^+}) + = (-0.1 \pm 0.9) \times 10^{-19} \textrm{ }e\cdot\si{\centi\meter} + \end{equation} + \item The muon is not stable, average lifetime of the free muon is: + \begin{equation} + \tau_{\mu} = 2.1969811 \pm 0.0000022 \textrm{ }\si{\micro\second} + \end{equation} +\end{enumerate} + +% subsection basic_properties_of_the_muon (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Decays of the muon} +\label{sub:decays_of_the_muon} +Because of charge and lepton flavour conservations, the simplest possible decay +of muons is: +\begin{equation} + \mu^- \rightarrow e^- \nu_\mu \overline{\nu}_e + \label{eq:micheldecay} +\end{equation} +Muons can also decay in the radiative mode: +\begin{equation} + \mu^- \rightarrow e^- \nu_\mu \overline{\nu}_e \gamma + \label{eq:mue2nugamma} +\end{equation} +or with an associated $e^+ e^-$ pair: +\begin{equation} + \mu \rightarrow e^- \nu_\mu \overline{\nu}_e e^+ e^- + \label{eq:mu3e2nu} +\end{equation} + +The dominant process, \micheldecay is commonly called Michel decay. It can be +described by the V-A interaction which is a special case of a local, +derivative-free, lepton-number-conserving four-fermion interaction. +%using $V-A$ +%inteaction, a special case of four-fermion interaction, by Louis +%Michel~\cite{Michel.1950}. +The model contains independent real parameters that can be determined from +measurements of muon life time, muon decay and inverse muon +decay. Experimental results from extensive measurements of Michel parameters +are consistent with the predictions of the V-A +theory~\cite{Michel.1950,FetscherGerber.etal.1986,BeringerArguin.etal.2012}. + +The radiative decay~\eqref{eq:mue2nugamma} is treated as an internal +bremsstrahlung process~\cite{EcksteinPratt.1959}. +%It occurs at the rate of about 1\% of all muon decays. +Since it is not possible to clearly separated this mode +from Michel decay in the soft-photon limit, the radiative mode is regarded as +a subset of the Michel decay. An additional parameter is included to describe +the electron and photon spectra in this decay channel. Like the case of +Michel decay, experiments results on the branching ratio and the parameter are +in agreement with the SM's predictions~\cite{BeringerArguin.etal.2012}. + +There is a small probability (order of $10^{-4}$~\cite{EcksteinPratt.1959}) +that the photon in \muenng would internally convert to an +$e^+e^-$ pair, resulting in the decay mode \muennee. +%\hl{TODO: more?} + +The branching ratios for decay modes of muons, compiled by the PDG, are +listed in Table~\ref{tab:SM_muon_decays}. + +\begin{table}[htb!] + \begin{center} + \begin{tabular}{l l l} + \toprule + Decay mode & Branching ratio & Remarks\\ + \midrule + \micheldecay & $\simeq 1$ & commonly called Michel decay\\ + + \muenng & $0.014 \pm 0.004$ & + subset of Michel decay, $E_\gamma > 10 \textrm{ MeV}$ \\ + + \muennee & $(3.4 \pm 0.2 \pm 0.3)\times 10^{-5}$ & + transverse momentum cut $p_T>17 \textrm{ MeV/c}$\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Decay modes and branching ratios of muon listed by + PDG~\cite{BeringerArguin.etal.2012}} + \label{tab:SM_muon_decays} +\end{table} +%\hl{TODO: Michel spectrum} +% subsection decays_of_the_muon (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% section muon_decay_in_the_standard_model (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Lepton flavour violated decays of muons} +\label{sec:lepton_flavour_violation} +%Historically, the ideas of lepton flavours and lepton flavour conservation +%emerged from null-result experiments, such as a series of searches for \mueg in +%1950s and 1960s +%The fact that there is no convincing fundamental symmetry that leads to the +%conservation, and +%The fact that no underlying symmetry leads to this +%conservation has been found, and mixing between generations does happen in the +%quark sector make experimental searches for lepton flavour violation (LFV) +%interesting. + +%The decay \mueg and \mueee were of great interest in the 1950s and 1960s when +%it is believed that the muon is an excited state of the electron. + +The existence of the muon has always been a puzzle. At first, people thought +that it would be an excited state of the electron. Therefore, the searches for +\mueg was performed by Hincks and Pontercorvo~\cite{HincksPontecorvo.1948}; and +Sard and Althaus~\cite{SardAlthaus.1948}. Those searches failed to find the +photon of about 50 MeV that would have accompanied the decay electron in case +the two-body decay \mueg had occurred. From the modern point of view, those +experiments were the first searches for charged lepton flavour violation (LFV). + +Since then, successive searches for LFV with the muon have been carried out. All +the results were negative and the limits of the LFV branching ratios had been +more and more stringent. Those null-result experiments suggested the lepton +flavours - muon flavour $L_\mu$ and electron flavour $L_e$. The notion of lepton +flavour was experimentally verified in the Nobel Prize-winning experiment of +Danby et al. at Brookhaven National Laboratory +(BNL)~\cite{DanbyGaillard.etal.1962}. Then the concepts of generations of +particles was developed~\cite{MakiNakagawa.etal.1962}, and integrated into the +SM, in which the lepton flavour conservation is guaranteed by and exact +symmetry, owing to massless neutrinos. + +Following the above LFV searches with muons, searches with various particles, +such as kaons, taus, and others have been done. The upper limit have been +improved at a rate of two orders of magnitude per decade. %TODO(Fig). + +While all of those searches yielded negative results, LFV with neutrinos is +confirmed with observations of neutrino oscillations; i.e. neutrino +of one type changes to another type when it travels in space-time. The +phenomenon means that there exists a mismatch between the flavour and +mass eigenstates of neutrinos; and neutrinos are massive. Therefore, the SM +must be modified to accommodate the massive neutrinos. + +With the massive neutrinos charged lepton flavour violation (CLFV) must occur +through oscillations in loops. But, CLFV processes are highly suppressed in the +SM. +For example, Marciano and Mori ~\cite{MarcianoMori.etal.2008} calculated the +branching ratio of the process \mueg to be \brmeg$<10^{-54}$. Other +CLFV processes with muons are also suppressed to similar practically +unmeasurable levels.%\hl{TODO: Feynman diagram} +Therefore, any experimental +observation of CLFV would be an unambiguous signal of the physics beyond the +SM. Many models for physics beyond the SM, including supersymmetric (SUSY) +models, extra dimensional models, little Higgs models, predict +significantly larger CLFV +~\cite{MarcianoMori.etal.2008, MiharaMiller.etal.2013, BernsteinCooper.2013}. +%\hl{TODO: DNA of CLFV charts} +%A comprehensive list of predictions from various models, compiled by +%Altmannshofer and colleagues ~\cite{AltmannshoferBuras.etal.2010a} is +%reproduced in Table~\ref{tab:clfv_dna}. + +%\begin{table}[htb!] + %\begin{center} + %\begin{tabular}{l l l} + %\toprule + %Decay mode & Branching ratio & Remarks\\ + %\midrule + %\micheldecay & $\simeq 1$ & commonly called Michel decay\\ + + %\muenng & $0.014 \pm 0.004$ & + %subset of Michel decay, $E_\gamma > 10 \textrm{ MeV}$ \\ + + %\muennee & $(3.4 \pm 0.2 \pm 0.3)\times 10^{-5}$ & + %transverse momentum cut $p_T>17 \textrm{ MeV/c}$\\ + %\bottomrule + %\end{tabular} + %\end{center} + %\caption{CLFV rates from various models~\cite{AltmannshoferBuras.etal.2010a}} + %\label{tab:clfv_dna} +%\end{table} + +%It can be seen from the table that there are two CLFV processes with muons are +%predicted to occur at large rates by all new physics models, namely \mueg and + +%It is calculated that there are two CLFV processes that would +%occur at large rates by many new physics models, +Among the CLFV processes, the \mueg and +the \muec are expected to have large effect by many models. The current +experimental limits on these two decay modes are set by MEG +experiment~\cite{Adam.etal.2013} and SINDRUM-II +experiment~\cite{Bertl.etal.2006}: +\begin{equation} + \mathcal{B}(\mu^+ \rightarrow e^+ \gamma) < 5.7 \times 10^{-13} +\end{equation} +, and: +\begin{equation} + \mathcal{B} (\mu^- + Au \rightarrow e^- +Au) < 7\times 10^{-13} +\end{equation} + +%\hl{TODO: mueg and muec relations, Lagrangian \ldots} +%The observation of one CLFV process may indicate the mass scale of the physics +%beyond the SM, but it would not be enough to distinguish between different +%models correspond to that physics. + +% section lepton_flavour_violation (end) + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Phenomenology of \mueconv} +\label{sec:phenomenoly_of_muec} +The conversion of a captured muon into an electron in the field of a nucleus +has been one of the most powerful probe to search for CLFV. This section +highlights phenomenology of the \muec. + +\subsection{What is \mueconv} +\label{sub:what_is_muec} +When a muon is stopped in a material, it is quickly captured by atoms +into a high orbital momentum state, forming a muonic atom, then +it rapidly cascades to the lowest state 1S. There, it undergoes either: +\begin{itemize} + \item normal Michel decay: \micheldecay; or + \item weak capture by the nucleus: $\mu^- p \rightarrow \nu_\mu n$ +\end{itemize} + +In the context of physics beyond the SM, the exotic process of \mueconv where +a muon decays to an electron without neutrinos is also +expected, but it has never been observed. +\begin{equation} + \mu^{-} + N(A,Z) \rightarrow e^{-} + N(A,Z) +\end{equation} +The emitted electron in this decay +mode , the \mueconv electron, is mono-energetic at an energy far above the +endpoint +of the Michel spectrum (52.8 MeV): +\begin{equation} + E_{\mu e} = m_\mu - E_b - \frac{E^2_\mu}{2m_N} +\end{equation} +where $m_\mu$ is the muon mas; $E_b \simeq Z^2\alpha^2 m_\mu/2$ is the binding +energy of the muonic atom; and the last term is the nuclear recoil energy +neglecting high order terms. For Al ($Z = 13$), the target of choice in the new +\mueconv experiments, the outgoing electron has energy of $E_{\mu e} \simeq +104.96$ MeV. +% subsection what_is_muec (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Measurement of \mueconv} +\label{sub:measurement_of_mueconv} +The quantity measured in searches for \mueconv is the ratio between the rate of +\mueconv, and the rate of all muons captured: +\begin{equation} + R_{\mu e} = + \frac{\Gamma(\mu^-N \rightarrow e^-N)}{\Gamma(\textrm{capture})} + \label{eq:muerate_def} +\end{equation} +The normalisation to captures has advantages when one does calculation since +many details of the nuclear wavefunction cancel out in the ratio. +%Detailed +%calculations have been performed by Kitano et al.~\cite{KitanoKoike.etal.2002a, +%KitanoKoike.etal.2007}, and Cirigliano et al.~\cite{Cirig} +The muon capture rate can be measured by observing the characteristic X-rays +emitted when the muon stops, and cascades to the 1S orbit. Since the stopped +muon either decays or be captured, the stopping rate is: +\begin{equation} + \Gamma_{\textrm{stop}} = \Gamma_{\textrm{decay}} + \Gamma_{\textrm{capture}} +\end{equation} +The mean lifetime $\tau = 1/\Gamma$, then: +\begin{equation} + \frac{1}{\tau_{\textrm{stop}}} = \frac{1}{\tau_{\textrm{decay}}} + + \frac{1}{\tau_{\textrm{capture}}} +\end{equation} +The mean lifetimes of free muons and muons in a material are well-known, +therefore the number of captures can be inferred from the number of stops. For +aluminium, $\frac{\Gamma_{\textrm{capture}}}{\Gamma_{\textrm{stop}}} = 0.609$ +and the mean lifetime of stopped muons is 864 +ns~\cite{SuzukiMeasday.etal.1987}. + +The core advantages of the \mueconv searches compares to other CLFV searches +(\mueg or \mueee) are: +\begin{itemize} + \item the emitted electron is the only product, so the measurement is simple, + no coincidence is required; and + \item the electron is mono-energetic, its energy is far above + the endpoint of the Michel spectrum (52.8 MeV) where the background is very + clean. Essentially, the only intrinsic physics background comes from decay + of the muon orbiting the nucleus. +\end{itemize} +% subsection measurement_of_mueconv (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%\hl{TODO} +%\subsection{Signal and backgrounds of \mueconv experiments} +%\label{sub:signal_and_backgrounds_of_mueconv_experiments} + + + +% subsection signal_and_backgrounds_of_mueconv_experiments (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section phenomenoly_of_muec (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% diff --git a/thesis2/chapters/chap3_comet.tex b/thesis2/chapters/chap3_comet.tex new file mode 100644 index 0000000..0f46ab2 --- /dev/null +++ b/thesis2/chapters/chap3_comet.tex @@ -0,0 +1,726 @@ +\chapter{The COMET experiment} +\label{cha:comet_overview} +\thispagestyle{empty} + +This chapter describes the new experimental search for \mueconv, namely COMET - +(\textbf{CO}herent \textbf{M}uon to \textbf{E}lectron \textbf{T}ransition). The +experiment will be carried out at the Japan Proton Accelerator Research Complex +(J-PARC), aims at a sensitivity of \sn{6}{-17} i.e. 10,000 times better than the +current best limit. + +%At the Japan Proton Accelerator Research Complex (J-PARC), an experiment to +%search for \muec~conversion, which is called + %has been proposed~\cite{comet07}. The experiment received Stage-1 +%approval in 2009. Utilising a proton beam of 56 kW (8 GeV $\times$ 7 $\mu$A) +%from the J-PARC main ring, the COMET aims for a single event sensitivity of +%$3 \times 10^{-17}$, which is 10000 times better than the current best limit. + +%\begin{itemize} + %\item present status of mueconv experiments + %\begin{itemize} + %\item SINDRUM-II description, results, short comings + %\item new ideas: MECO, Mu2e, COMET + %\end{itemize} + %\item Concepts of COMET + %\begin{itemize} + %\item highly intense muon beam + %\item pulsed proton beam + %\item curved solenoids + %\end{itemize} + %\item COMET's beam lines and detectors + %\begin{itemize} + %\item proton beam: energy, time structure, planned operations + %\item pion production: yields, target, capture solenoids + %\item muon transportation: requirements, field + %\item stopping target: material, geometry, field, energy loss + %\item electron transportation: + %\item detectors: electron tracker and calorimeter + %\item DAQ + %\end{itemize} +%\end{itemize} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Experimental status of \mueconv searches} +\label{sec:experimental_status_of_mueconv_searches} + +\subsection{Experimental history} +\label{sub:experimental_history} + +The searches for \mueconv has been ongoing for more than 50 years, started in +1952 with cosmic rays~\cite{LagarriguePeyrou.1952} and then moved to +accelerators. The list in the Table~\ref{tab:mueconv_history} is reproduced +from a recent review of Bernstein and Cooper~\cite{BernsteinCooper.2013}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l l c} + \toprule + \textbf{Year} & \textbf{Limit} (90\% C.L.) & \textbf{Material} + & \textbf{Reference}\\ + \midrule + 1952 & \sn{1.0}{-1} & Sn, Sb & \cite{LagarriguePeyrou.1952} \\ + 1955 & \sn{5.0}{-4} & Cu & \cite{SteinbergerWolfe.1955} \\ + 1961 & \sn{4.0}{-6} & Cu & \cite{SardCrowe.etal.1961}\\ + 1961 & \sn{5.9}{-6} & Cu & \cite{ConversiLella.etal.1961}\\ + 1962 & \sn{2.2}{-7} & Cu & \cite{ConfortoConversi.etal.1962}\\ + 1964 & \sn{2.2}{-7} & Cu & \cite{ConversiLella.etal.1961}\\ + 1972 & \sn{2.6}{-8} & Cu & \cite{ConversiLella.etal.1961}\\ + 1977 & \sn{4.0}{-10} & S & \cite{ConversiLella.etal.1961}\\ + 1982 & \sn{7.0}{-11} & S & \cite{ConversiLella.etal.1961}\\ + 1988 & \sn{4.6}{-12} & Ti & \cite{ConversiLella.etal.1961}\\ + 1993 & \sn{4.3}{-12} & Ti & \cite{ConversiLella.etal.1961}\\ + 1995 & \sn{6.5}{-13} & Ti & \cite{ConversiLella.etal.1961}\\ + 1996 & \sn{4.6}{-11} & Pb & \cite{ConversiLella.etal.1961}\\ + 2006 & \sn{7.0}{-13} & Au & \cite{ConversiLella.etal.1961}\\ + \bottomrule + \end{tabular} + \end{center} + \caption{History of \mueconv experiments, reproduced + from~\cite{BernsteinCooper.2013}} + \label{tab:mueconv_history} +\end{table} + +The most recent experiments were the SINDRUM and SINDRUM-II at the Paul +Scherrer Institute (PSI), Switzerland. The SINDRUM-II measured the branching +ratio of \mueconv on a series of heavy targets: Ti, Pb and Au. The proton beam +at PSI is a continuous wave beam, with a time structure of 0.3 ns bursts every +19.75 \nano\second. An 8-\milli\meter-thick CH$_2$ degrader was used to reduce +the radiative pion capture and other prompt backgrounds. Cosmic backgrounds are +rejected using a combination of +passive shielding, veto counters and reconstruction cuts. The momenta of muons +were 52 \mega\electronvolt\per\cc and 53 \mega\electronvolt\per\cc, and the +momentum spread was 2\%. +\begin{figure}[htbp] \centering + \includegraphics[width=0.85\textwidth]{figs/sindrumII_setup} + \caption{SINDRUM-II set up} + \label{fig:sindrumII_setup} +\end{figure} + +Electrons emitted from the target were tracked in a 0.33 T solenoid field. +Detector system consisted of a superconducting solenoid, two plastic +scintillation hodoscopes, a plexiglass Cerenkov hodoscope, and two drift +chambers. In the latest measurement, the SINDRUM-II collaboration have not +found any conversion electron from captured muons in a gold target, hence set +the upper limit for +the branching ratio of \mueconv in gold with 90 \% C.L. at \sn{7.0}{-13}. + +The reconstructed momenta of electrons around the signal region from SINDRUM-II +is shown in the Figure~\ref{fig:sindrumII_result}. It can be seen that the muon +decay in orbit background falls steeply near the endpoint as expected, but, the +prompt background induced by pions still remains even after the cut in timing +and track angle. This indicates the problem of pion contamination is very +important in probing lower sensitivity. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.55\textwidth]{figs/sindrumII_Au_result} + \caption{SINDRUM-II result} + \label{fig:sindrumII_result} +\end{figure} +% subsection experimental_history (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{New generation of \mueconv~experiments} +\label{sub:new_generation_of_mueconv_experiments} + +A new generation of \mueconv experiments have been proposed with scenarios to +overcome pion induced background in the SINDRUM-II. Lobashev and collaborators +first suggested the basic idea for new \mueconv at the Moscow Muon Factory; +this idea was used to develop the MECO experiment at Brookhaven National +Laboratory. The MECO experiment was cancelled due to budget constraints. The two +modern experiments, COMET at J-PARC and Mu2e at Fermilab use the initial idea +with more upgrades and modifications. + +The basic ideas of the modern experiments are: +\begin{enumerate} + \item Highly intense muon source: the total number of muons needed is of the + order of $10^{18}$ in order to achieve a sensitivity of $10^{-16}$. This + can be done by producing more pions using a high power proton beam, and + having a high efficiency pion collection system; + \item Pulsed proton beam with an appropriate timing: the proton pulse should + be short compares to the lifetime of muons in the stopping target material, + and the period between pulses should be long enough for prompt backgrounds + from pion to decay before beginning the measurement. It is also crucial + that there is no proton leaks into the measuring interval; + \item Curved solenoids for charge and momentum selection: at first, the curved + solenoids remove the line of sight backgrounds. A charged particle travels + through a curved solenoidal field will have the centre of the helical + motion drifted up or down depends on the sign of the charge, and the + magnitude of the drift is proportional to its momentum. By using this + effect and placing suitable collimators, charge and momentum selection can + be made. +\end{enumerate} +% subsection new_generation_of_mueconv_experiments (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% section experimental_status_of_mueconv_searches (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Concepts of the COMET experiment} +\label{sec:concepts_of_the_comet_experiment} +This section elaborates the design choices of the COMET to realise the basic +ideas mentioned above. Figures and numbers, other than noted, are taken from +the COMET's documentations: +\begin{itemize} + %TODO citations + \item Conceptual design report for the COMET experiment~\cite{COMET.2009} + \item Proposal Phase-I 2012 + \item TDR 2014 +\end{itemize} + + +\subsection{Proton beam} +\label{sub:proton_beam} +A high power pulsed proton beam is of utmost importance to achieve the desired +sensitivity of the COMET experiment. A slow-extracted proton beam from +the J-PARC main ring (MR), which is designed to deliver \sn{3.6}{15} protons per +cycle at a frequency of 0.45 Hz, will be used for the COMET experiment. The +proton beam power of the current design is 8 GeV$\times$7 $\mu$A, or +\sn{4.4}{13} protons/s. The beam energy 8 \giga\electronvolt~ helps to minimise +the production of antiprotons. + +The proton pulse width is chosen to be 100 ns, and the pulse period to be +$1 \sim 2 \textrm{ }\mu\textrm{s}$. This time structure is sufficient for the +search for \mueconv in an aluminium target where the lifetime of muons is 864 +ns. A plan of accelerator operation to realise the scheme is shown in +the Figure~\ref{fig:comet_mr_4filled}, where 4 out of 9 MR buckets are filled. + +As mentioned, it is very important that there is no stray proton arrives in the +measuring period between two proton bunches. An extinction factor is defined as +the ratio between number of protons in between two pulses and the number of +protons in the main pulse. In order to achieve the goal sensitivity of the +COMET, an extinction factor of \sn{}{-9} is required. + +Requirements for the proton beam are summarised in the +Table~\ref{tab:comet_proton_beam}. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.8\textwidth]{figs/comet_mr_4filled} + \caption{The COMET proton bunch structure in the RCS (rapid cycle + synchrotron) and MR where 4 buckets + are filled producing 100 \nano\second~bunches separated by 1.2 + \micro\second.} + \label{fig:comet_mr_4filled} +\end{figure} + +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l} + \toprule + Beam power & 56 \kilo\watt\\ + Energy & 8 \giga\electronvolt\\ + Average current & 7 \micro\ampere\\ + Beam emittance & 10 $\pi$\cdot mm\cdot mrad\\ + Protons per bunch & $<10^{11}$\\ + Extinction & \sn{}{-9}\\ + Bunch separation & $1 \sim 2$ \micro\second\\ + Bunch length & 100 \nano\second\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Pulsed proton beam for the COMET experiment} + \label{tab:comet_proton_beam} +\end{table} + +% subsection proton_beam (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Pion production and capture solenoid} +\label{sub:pion_production_can_capture_solenoid} +Muons for the COMET experiment are produced by colliding the proton beam with +a pion production target, made of either platinum, gold or tungsten, collecting +pions and then letting them decay. To collect as many pions (and cloud muons) +as possible, the pions are captured +using a high solenoidal magnetic field with a large solid angle. Since muons +will be stopped in a conversion target, low energy muons, and thus low energy +pions, are preferred. It is known from other measurements that backward +scattered pions (with respect to proton beam direction) of high energy are +suppressed, and the yield of low energy pions in the backward direction is not +too low compares to that of the forward direction (see +Figure~\ref{fig:pion_yield}). For these reasons, the COMET +decided to collect backward pions. +\begin{figure}[htb] + \centering + \includegraphics[width=0.95\textwidth]{figs/pion_yield} + \caption{Comparison between backward and forward pions production in a gold + target.} + \label{fig:pion_yield} +\end{figure} + +The pion capture system is composed of several superconducting solenoids: +capture solenoids and matching solenoids. The magnetic field distribution along +the beam axis of the COMET is shown in the Figure~\ref{fig:comet_Bfield}. The +peak field of 5 T is created by the capture solenoid, and the matching +solenoids provide a smooth transition from that peak field to the 3 T field in +the pions/muons transportation region. The superconducting solenoids are +cooled by liquid helium, and a radiation shield composed of copper and tungsten +will be installed inside the cryostat to reduce radiation heat load. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/comet_Bfield} + \caption{Magnetic field distribution along the COMET beam line.} + \label{fig:comet_Bfield} +\end{figure} + +% subsection pion_production_can_capture_solenoid (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Pions and muons transportation solenoids} +\label{sub:pion_and_muon_transportation} +Muons and pions are transported to the muon stopping target through a muon +beam line, which includes several curved and straight superconducting solenoid +magnets. A schematic layout of the muon beam line, include the capture and +detector sections, is shown in Figure~\ref{fig:comet_beamline_layout}. +\begin{figure}[htb] + \centering + \includegraphics[width=0.95\textwidth]{figs/comet_beamline_layout} + \caption{Schematic layout of the COMET beam line.} + \label{fig:comet_beamline_layout} +\end{figure} + +The requirements for the muon transportation beam line are: +\begin{itemize} + \item being long enough for pions to decay, for instance, the survival rate + of pions will be about \sn{2}{-3} after 20 m; + \item being able to select low momentum negative muons with momentum of around + 40 MeV/$c$, and eliminate high momentum muons ($> 75\textrm{ MeV/}c$), + since they can decay in flight and produce spurious signals of $\sim$ 105 + MeV electrons. +\end{itemize} +The selection of charge and momentum is done by the curved solenoids. It is +know that, in a curved solenoidal field, the centre of the helical trajectory +of a charged particle drifts perpendicularly to the curved plane. The magnitude +of the drift is given by: +\begin{align} + D &= \frac{1}{qB} \frac{s}{R} \frac{p_L^2 + \frac{1}{2}p_T^2}{p_L}\\ + &= \frac{1}{qB} \frac{s}{R} \frac{p}{2} + \left( \textrm{cos}\theta + \frac{1}{\textrm{cos}\theta} \right)\\ + &= \frac{1}{qB} \theta_{bend} \frac{p}{2} + \left( \textrm{cos}\theta + \frac{1}{\textrm{cos}\theta} \right) +\end{align} +where $q$ is the electric charge of the particle; $B$ is the magnetic field at +the axis; $s$ and $R$ are the path length and the radius of the curvature; $p$, +$p_T$ and $p_L$ are total momentum, transversal momentum and longitudinal +momentum of the particles, respectively; $\theta = \textrm{atan}(p_T/p_L)$ is +the pitch angle of the helical trajectory; and $\theta_{bend} = s/R$ is called +the bending angle. +It is clear that $D$ is proportional to $\theta_{bend}$, to total momentum $p$. +Charged particles with opposite signs move in opposite directions. Therefore it +is possible to select muons around 40 MeV/$c$ by using suitable collimator +after the curved solenoid. + +In order to keep the centre of the helical trajectories of the muons with +a reference momentum $p_0$ in the vertical plane, a compensating dipole field +parallel to the drift direction is needed. In the COMET, the dipole fields are +produced by additional coils winded around the solenoid coils. The magnitude of +the compensating field is: +\begin{equation} + B_{\textrm{comp}} = \frac{1}{qR} \frac{p_0}{2} + \left( \textrm{cos}\theta_0 + \frac{1}{\textrm{cos}\theta_0} \right) +\end{equation} +where the trajectories of charged particles with momentum $p_0$ and pitch angle +$\theta_0$ are corrected to be on-axis. An average dipole field of 0.03 T is +needed to select 40 MeV/$c$ muons as required by the COMET design. +% subsection pion_and_muon_transportation (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Muon stopping target} +\label{sub:muon_stopping_target} +Muon stopping target is place at 180\degree~bending after the pion production +target (Figure~\ref{fig:comet_beamline_layout}) in its own solenoid. The target +is designed to maximise the muon stopping efficiency and minimise the energy +loss of signal electrons. + +%\hl{TODO: Target choice: separation, product, lifetime, energy loss\ldots} +It is calculated that the branching ratio of \mueconv increases with atomic +number $Z$, and plateaus above $Z \simeq 30$, then decreases as $Z>60$. The +lifetime of muons inside a material decreases quickly as $Z$ increases. +Tracking wise, lower $Z$ material provides better reconstructed momentum +resolution. Therefore, light material is preferable as muon stopping target. + +The first choice for the muon stopping target material in the COMET is +aluminium. A titanium target is also considered. Configuration of the target is +shown in the Table~\ref{tab:comet_al_target}. Monte Carlo studies with this +design showed that net stopping efficiency is 0.29, and average energy loss +of signal electrons is about 400 \kilo\electronvolt. +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l} + \toprule + \textbf{Item} & \textbf{Specification}\\ + \midrule + Material & Aluminium\\ + Shape & Flat disks\\ + Disk radius & 100 \milli\meter\\ + Disk thickness & 200 \micro\meter\\ + Number of disks & 17\\ + Disk spacing & 50 \milli\meter\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Configuration of the muon stopping target.} + \label{tab:comet_al_target} +\end{table} + +A graded magnetic field (reduces from 3 T to 1 T) is produced at the +location of the stopping target (see Figure~\ref{fig:comet_target_Bfield}) to +maximise the acceptance for \mueconv signals, since electrons emitted in the +backward +direction would be reflected due to magnetic mirroring. The graded field also +helps optimising the transmission efficiency to the subsequent electron +transport section. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/comet_target_Bfield} + \caption{The graded magnetic field near the stopping target region.} + \label{fig:comet_target_Bfield} +\end{figure} + +% subsection muon_stopping_target (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Electron transportation beam line} +\label{sub:electron_transportation_beam_line} +The 180\degree~bending electron transport solenoids help remove line-of-sight +between the target and the detector system. It works similarly to the muon +transportation section, but is tuned differently to accept electrons of about +105 \mega\electronvolt\per\cc. A compensation field of 0.17 T along the +vertical direction will be applied. Electrons with momentum less than 80 +\mega\electronvolt\per\cc are blocked at the exit of this section by +a collimator to reduce DIO electrons rate. The net acceptance of signals of +\mueconv is about 0.32, and the detector hit rate will be in the order of +1 \kilo\hertz~for \sn{}{11} stopped muons\per\second. +% subsection electron_transportation_beam_line (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Electron detectors} +\label{sub:electron_detectors} +The \mueconv signal electrons is measured by an electron detector system, which +consists of straw-tube trackers and an electromagnetic calorimeter - shown in +Figure~\ref{fig:comet_detector_system}. The +requirements for the detector system is to distinguish electrons from other +particles, and measure their momenta, energy and timings. The whole detector +system is in a uniform solenoidal magnetic field under vacuum. Passive and +active shielding against cosmic rays is considered. + +The tracking detector has to provide a momentum resolution less than 350 +\kilo\electronvolt\per\cc in order to achieve a sensitivity of \sn{3}{-17}. +There are five stations of straw-tube gas chambers, each provides two +dimensional information. Each straw tube is 5 \milli\meter in diameter and has +a 25 \micro\meter-thick wall. According to a GEANT4 Monte Carlo simulation, +a position resolution of 250 \micro\meter can be obtained, which is enough for +350 \kilo\electronvolt\per\cc momentum resolution. The DIO background of 0.15 +events is estimated. + +The electromagnetic calorimeter serves three purposes: a) to measure electrons +energy with high energy resolution; b) to provide timing information and +trigger timing for the detector system; and c) to provide additional data on +hit positions. Two candidate crystals, GSO and LYSO, are under consideration. +\begin{figure}[htb] + \centering + \includegraphics[width=0.75\textwidth]{figs/comet_detector_system} + \caption{Layout of the electron detectors.} + \label{fig:comet_detector_system} +\end{figure} + +The requirements for \mueconv signals are: +\begin{itemize} + \item from the 350 \kilo\electronvolt\per\cc~momentum resolution, the signal + region is determined to be 103.5 \mega\electronvolt\per\cc~to 105.2 + \mega\electronvolt\per\cc; + \item transversal momentum of signal electrons is required to be greater than + 52 \mega\electronvolt\per\cc to remove backgrounds from beam electrons and + muons decay in flight; + \item timing wise, conversion electrons should arrive in the time window of + detection which is about 700 \nano\second~after each proton pulses + (Figure~\ref{fig:comet_meas_timing}). The acceptance in this detection + window is about 0.39 for aluminium. +\end{itemize} + +\begin{figure}[htb] + \centering + \includegraphics[width=0.7\textwidth]{figs/comet_meas_timing} + \caption{Timing window of detection.} + \label{fig:comet_meas_timing} +\end{figure} +% subsection electron_detectors (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Signal sensitivity and background estimation} +\label{sub:signal_sensitivity_and_background_estimation} +The single event sensitivity (SES) of the \mueconv search is defined as: +\begin{equation} + \mathcal{B}(\mu^-Al\rightarrow e^- Al) = + \frac{1}{N^{\textrm{stop}}_{\mu}\cdot f_{\textrm{cap}} \cdot A_e} + \label{eq:mue_sensitivity} +\end{equation} +where $N^{\textrm{stop}}_{\mu}$ is the number of muons stopping in the muon +target; $f_{\textrm{cap}}$ is the fraction of captured muons; and $A_e$ is the +detector acceptance. The total number of stopped muons is projected as +$N^{\textrm{stop}}_{\mu} = 2\times 10^{18}$ for a \sn{2}{7}\second~run time; +$f_{\textrm{cap}} = 0.61$ for aluminium; and the total acceptance for the COMET +detector system is $A_e =0.031$. Using these +numbers, the SES of the COMET is calculated to be +\sn{2.6}{-17}. The 90\% CL upper limit is given by $2.3\times\mathcal{B}$: +\begin{equation} + \mathcal{B}(\mu^-Al\rightarrow e^- Al) < 6 \times 10^{-17} \quad + \textrm{(90\% C.L.)} +\end{equation} + +Potential backgrounds for the COMET are: +\begin{enumerate} + \item Intrinsic physics backgrounds: originates from muons stopped in the + stopping target, including muon decays in orbit, radiative muon capture and + particles such as protons and neutrons emitted after muon capture; + \item Beam related backgrounds: caused by particles (electrons, pions, muons + and antiprotons) in the beam. They are either prompt or late-arriving. + A beam pulsing with high proton extinction factor is required to reject + this type of backgrounds; + \item Accidental background from cosmic rays +\end{enumerate} +The expected background rates for the COMET at an SES of +\sn{3}{-17} is summarised in Table~\ref{tab:comet_background_estimation}. +\begin{table}[htb] + \begin{center} + %\begin{tabular}{l l} + \begin{tabular}{l r@{.}l} + \toprule + \textbf{Background} & \multicolumn{2}{l}{\textbf{Events}}\\ + \midrule + %\end{tabular}{l l} + %\begin{tabular}{l r@{.}l} + Radiative pion capture & 0&05\\ + Beam electrons & $<$0&1\\ + Muon decay in flight & $<$0&0002\\ + Pion decay in flight & $<$0&0001\\ + Neutron induced & 0&024\\ + Delayed pion radiative capture & 0&002\\ + Antiproton induced & 0&007\\ + Muon decay in orbit & 0&15\\ + Radiative muon capture & $<$0&001\\ + Muon capture with neutron emission & $<$0&001\\ + Muon capture with proton emission & $<$0&001\\ + Cosmic ray muons & 0&002\\ + Electron cosmic ray muons & 0&002\\ + \midrule + \textbf{Total} &0&34\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Backgrounds of the COMET experiment.} + \label{tab:comet_background_estimation} +\end{table} + +% subsection signal_sensitivity_and_background_estimation (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section concepts_of_the_comet_experiment (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{The COMET Phase-I} +\label{sec:the_comet_phase_i} +The techniques of beam pulsing and curved solenoids that the COMET will utilise +are believed to greatly reduce potential backgrounds, by several orders of +magnitude, for the \mueconv search. That also means that backgrounds are being +extrapolated over four orders of magnitude from existing data. In order to +obtain data-driven estimates of backgrounds, and inform the detailed design for +the ultimate COMET experiment, and initial phase is desirable. Also, the 5-year +mid-term plan from 2013 of J-PARC includes the construction of the COMET beam +line. For these reasons, the COMET collaboration considers a staged approach +with the first stage, so called COMET Phase-I, with a shorter muon +transportation solenoid, up to the first 90\degree. + +%\begin{wrapfigure}{r}{0.5\textwidth} + %\centering + %\includegraphics[width=0.49\textwidth]{figs/comet_phase1_layout} + %\caption{Lay out of the COMET Phase-I, the target and detector solenoid are + %placed after the first 90\degree~bend.} + %\label{fig:comet_phase1_layout} +%\end{wrapfigure} +\begin{SCfigure} + \centering + \caption{Lay out of the COMET Phase-I, the target and detector solenoid are + placed after the first 90\degree~bend.} + \includegraphics[width=0.4\textwidth]{figs/comet_phase1_layout} + \label{fig:comet_phase1_layout} +\end{SCfigure} + +The COMET Phase-I has two major goals: +\begin{enumerate} + \item Direct measurements of the proton extinction factor, and other potential + backgrounds for the full COMET experiment. These include backgrounds due to + beam particles such as pions, neutrons, antiprotons, photons and electrons; + and physics background from muon DIO. Straw tube trackers and crystal + calorimeter with the same technology in the full COMET will be used, thus + these detectors can be regarded as the final prototype. + \item Search for \mueconv with an intermediate sensitivity of \sn{3.1}{-15}, + a two orders of magnitude improvement from the SINDRUM-II limit. To realise + this goal, two options for detectors are being considered, either a reused + of the detectors for background measurements, or a dedicated detector. + The latter will be described in detail later. +\end{enumerate} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Proton beam for the COMET Phase-I} +\label{sub:proton_beam_for_the_comet_phase_i} +Proton beam for the Phase-I differs only in beam power compares to that of the +full COMET. It is estimated that a beam power of +3.2~\kilo\watt~$=$~8~\giga\electronvolt~$\times$~0.4~\micro\ampere~(or +\sn{2.5}{12} protons\per\second) will be enough for beam properties +study and achieving the physics goal of this stage. +Starting from a lower intensity is also suitable for performing accelerator +studies that are needed to realise 8 \giga\electronvolt beam extraction from +the J-PARC main ring. +% subsection proton_beam_for_the_comet_phase_i (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Pion production and transportation solenoids} +\label{sub:pion_production_and_transportation_solenoids} + +Since the beam power will be lower, it is proposed to use a graphite target in +the Phase-I. This will minimise the activation of the target station and heat +shield which will be easier for necessary upgrading for Phase-II operation. +A target length of 600 \milli\meter~(1.5 radiation length) and target radius of +20 \milli\meter~are chosen. The target is located at the centre of the pion +capture solenoid where the peak magnetic field of 5 T is achieved. +A correction dipole filed of 0.05 T is also applied to improve the pion yield. + +The pion/muon beam line for COMET Phase-I consists of the pion capture solenoid +section (CS), muon transport solenoid section (TS) up to the first +90\degree~bending, and a set of matching solenoids (see +Figure~\ref{fig:comet_phase1_magnets}). At the end of the muon beam line, the +detectors and the detector solenoid (DS) are installed. To reduce beam +backgrounds, a beam collimator is placed upstream of the detector solenoid. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/comet_phase1_magnets} + \caption{A schematic view of the superconducting solenoid magnet system for + the COMET Phase-I. Prefix CS is for capture solenoids, MS is for matching + solenoids, and TS is for transport solenoids. BS and DS are beam collimation + system and detector solenoid, respectively.} +\label{fig:comet_phase1_magnets} +\end{figure} +% subsection pion_production_and_transportation_solenoids (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Detectors for \mueconv search in the Phase-I} +\label{sub:detectors_for_mueconv_search_in_the_phase_i} + +As mentioned, two types of detectors are considered for physics measurements in +the Phase-I. The dedicated detector system consists of a cylindrical drift +chamber (CDC), a trigger hodoscope, a proton absorber and a detector solenoid +(Figure~\ref{fig:comet_phase1_cydet}). +The whole system is referred as cylindrical detector system (CyDet) in the +COMET's documentation. The CyDet has advantages that low momentum particles for +the stopping target will not reach the detector, thus the hit rates are kept +manageable even at high beam currents. Furthermore, the majority of beam +particles, except those scattering at large angles, will not directly hit the +CyDet. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/comet_phase1_cydet} + \caption{Schematic layout of the CyDet.} + \label{fig:comet_phase1_cydet} +\end{figure} + +The CDC is the main tracking detector that provides information for +reconstruction of charged particle tracks and measuring their momenta. The key +parameters for the CDC are listed in the +Table~\ref{tab:comet_phase1_cdc_params}. +Trigger hodoscopes are placed at both upstream and downstream ends of the CDC. +An absorber is placed concentrically with respect to the CDC axis to +reduce potential high rates caused by protons emitted after nuclear muon +capture in the stopping target. + +The CDC covers the region +from 500 \milli\meter~to 831 \milli\meter~in the radial direction. The length +of the CDC is 1500 \milli\meter. The inner wall is made of a 100 +\micro\meter~thick aluminised Mylar. The end-plates will be conical in shape +and about 10 \milli\meter~thick to support the feedthroughs. The outer wall is +made of 5 \milli\meter~carbon fibre reinforced plastic (CFRP). + +The CDC is arranged in 20 concentric sense layers with alternating positive and +negative stereo angles. The sense wires are made of gold-plated tungsten, 30 +\micro\meter~in diameter, tensioned to 50 \gram. The field wires are uncoated +aluminium wires with a diameter of 80 \micro\meter, at the same tension of 50 +\gram. A high voltage of $1700\sim1900$ \volt~will be applied to the sense +wires with the field wires at ground potential, giving an avalanche gain of +approximately \sn{4}{4}. A gas mixture of helium:isobutane(90:10) is preferred +since the CDC momentum resolution is dominated by multiple scattering. With +these configurations, an intrinsic momentum resolution of 197 +\kilo\electronvolt\per\cc~is achievable according to our tracking study. + +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l l} + \toprule + \textbf{Inner wall} & Length & 1500 \milli\meter\\ + & Radius & 500 \milli\meter\\ + \midrule + \textbf{Outer wall} & Length & 1740.9 \milli\meter\\ + & Radius & 831 \milli\meter\\ + \midrule + \textbf{Sense wire} & Number of layers & 20\\ + & Material & Gold-plated tungsten\\ + & Diameter & 30 \micro\meter\\ + & Number of wires & 4986\\ + & Tension & 50 \gram\\ + %& Radius of the innermost wire at the EP & 530 mm\\ + %& Radius of the outermost wire at the EP & 802 mm\\ + \midrule + \textbf{Field wire} & Material & Aluminium\\ + & Diameter & 80 \micro\meter\\ + & Number of wires & 14562\\ + & Tension & 50 \gram\\ + \midrule + \textbf{Gas} & & Helium:Isobutane (90:10)\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Main parameters of the CDC for the COMET Phase-I.} + \label{tab:comet_phase1_cdc_params} +\end{table} + +The maximum usable muon beam intensity will be limited by the detector hit +occupancy. Charge particles with transversal momentum greater than 70 +\mega\electronvolt\per\cc~are expected to reach the CDC. Those particles are: +protons emitted from nuclear muon capture, and electrons from muon decay in +orbit. It is calculated that the hit rate due to proton emission dominates, +where the highest rate is 11 \kilo\hertz\per cell compares to 5 \kilo\hertz\per +cell contribution from DIO electrons. Another potential issue caused by protons +is the ageing effect on the CDC as they leave about a 100 times larger +energy deposit than the minimum ionisation particles. + +For those reasons, we plan to install an absorber to reduce the rate of protons +reaching the CDC. However, there is no experimental data available for the rate +of protons emitted after muon capture in aluminium. In the design of the COMET +Phase-I, we use a conservative estimation of the rate of protons from energy +spectrum of charged particles emitted from muon capture in +$^{28}$Si~\cite{SobottkaWills.1968}. The baseline design for the proton +absorber is 1.0 \milli\meter~thick CFRP, which contributes 195 +\kilo\electronvolt\per\cc~to the momentum resolution of reconstructed track. + +In order to obtain a better understanding of the protons emission, and then +further optimisation of the CDC, a dedicated experiment to measure proton +emission rate and energy spectrum is being carried out at PSI. This experiment +is described in detail in next chapters. +% subsection detectors_for_mueconv_search_in_the_phase_i (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Sensitivity of the \mueconv search in the Phase-I} +\label{sub:sensitivity_of_the_mueconv_search_in_the_phase_i} +The SES for the Phase-I is given by +the Equation~\ref{eq:mue_sensitivity}. Using $N_{\mu} = 1.3\times 10^{16}$, +$f_{\textrm{cap}} = 0.61$, and $A_e = 0.043$ from MC study for the Phase-I, the +SES becomes: +\begin{equation} + \mathcal{B}(\mu^-Al\rightarrow e^- Al) = 3.1\times 10^{-15} +\end{equation} +% subsection sensitivity_of_the_mueconv_search_in_the_phase_i (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Time line of the COMET Phase-I and Phase-II} +\label{sub:time_line_of_the_phase_i} +We are now in the construction stage of the COMET Phase-I, which is planned to +be finished by the end of 2016. We will carry out engineering run in 2016, +and subsequently, physics run in 2017. A beam time of 90 days is expected to +achieve the goal sensitivity of the Phase-I. An anticipated schedule for the +COMET, both Phase-I and Phase-II, is shown in Figure~\ref{fig:sched}. +\begin{figure}[tbh] + \centering +\includegraphics[width=0.8\textwidth]{figs/sched} +\caption{The anticipated schedule of the COMET experiment.} +\label{fig:sched} +\end{figure} + +% subsection time_line_of_the_phase_i (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section the_comet_phase_i (end) diff --git a/thesis2/chapters/chap4_alcap_phys.tex b/thesis2/chapters/chap4_alcap_phys.tex new file mode 100644 index 0000000..d9cfa2b --- /dev/null +++ b/thesis2/chapters/chap4_alcap_phys.tex @@ -0,0 +1,901 @@ +\chapter +[Proton emission following nuclear muon capture - The AlCap experiment] +{Proton emission following \\nuclear muon capture \\and the AlCap experiment} +\label{cha:alcap_phys} +\thispagestyle{empty} +As mentioned earlier, the emission rate of protons +following nuclear muon capture on aluminium is of interest to the COMET Phase-I +since protons can cause a very high hit rate on the proposed cylindrical drift +chamber. Another \mueconv experiment, namely Mu2e at Fermilab, which aims at +a similar goal sensitivity as that of the COMET, also shares the same interest +on proton emission. Therefore, a joint COMET-Mu2e project was formed to carry +out the measurement of proton, and other charged particles, emission. The +experiment, so-called AlCap, has been proposed and approved to be carried out +at PSI in 2013~\cite{AlCap.2013}. In addition to proton, the AlCap +experiment will also measure: +\begin{itemize} + \item neutrons, because they can cause backgrounds on other detectors and + damage the front-end electronics; and + \item photons, since they provide ways to normalise number of stopped muons + in the stopping target. +\end{itemize} + +The emission of particles following muon capture in nuclei +%Historically, the emission of protons, as well as other particles, has +has been studied thoroughly for several nuclei in the context of ``intermediate +energy nuclear physics'' where it is postulated that the weak interaction is +well understood and muons are used as an additional probe to investigate the +nuclear structure~\cite{Singer.1974, Measday.2001}. +Unfortunately, the proton emission rate for aluminium in the energy range of +interest is not available. This chapter reviews the current knowledge on +emission of particles with emphasis on proton. +%theoretically and experimentally, hence serves as the motivation for the AlCap +%experiment. + +\begin{comment} +\begin{itemize} + %\item Motivation: why looked for protons in COMET, what is the status in + %theory and experiment + %\begin{itemize} + %\item COMET Phase-I need + %\item lack of experimental data + %\item addition to protons: neutrons and photons + %\end{itemize} + \item Atomic capture of muon + \begin{itemize} + \item formation of the muonic atom + \end{itemize} + \item Nuclear muon capture + \begin{itemize} + \item physics: capture on proton + \item energy + \item de-excitation modes: mostly neutrons, other may occur + \end{itemize} + \item Charged particles/protons + \begin{itemize} + \item general + \item alpha, protons + \item + \end{itemize} + \item Plan and goals of the AlCap experiment +\end{itemize} +\end{comment} + +\section{Atomic capture of the negative muon} +\label{sec:atomic_capture_of_the_negative_muon} +Theoretically, the capturing process can be described in the following +stages~\cite{FermiTeller.1947, WuWilets.1969}: +\begin{enumerate} + \item High to low (a few \kilo\electronvolt) energy: the muon velocity are + greater than the velocity of the valence electrons of the atom. Slowing + down process is similar to that of fast heavy charged particles. It takes + about \sn{}{-9} to \sn{}{-10} \second~to slow down from a relativistic + \sn{}{8} \electronvolt~energy to 2000 \electronvolt~in condensed matter, + and about 1000 times as long in air. + \item Low energy to rest: in this phase, the muon velocity is less than that + of the valence electrons, the muon is considered to be moving inside + a degenerate electron gas. The muon rapidly comes to a stop either in + condensed matters ($\sim$\sn{}{-13} \second) or in gases ($\sim$\sn{}{-9} + \second). + \item Atomic capture: the muon has no kinetic energy, it is captured by the + host atom into one of high orbital states, forming a muonic atom. The + distribution of initial states is not well known. The details depend on + whether the material is a solid or gas, insulator or material + \item Electromagnetic cascade: since all muonic states are unoccupied, the + muon cascades down to states of low energy. The transition is accompanied + by the emission of Auger electrons or characteristic X-rays, or excitation + of the nucleus. The time taken for the muon to enter the lowest possible + state, 1S, from the instant of its atomic capture is + $\sim$\sn{}{-14}\second. + \item Muon disappearance: after reaching the 1S state, the muons either + decays with a half-life of \sn{2.2}{-6} \second~or gets captured by the + nucleus. In hydrogen, the capture to decay probability ratio is about + \sn{4}{-4}. Around $Z=11$, the capture probability is roughly equal to the + decay probability. In heavy nuclei ($Z\sim50$), the ratio of capture to + decay probabilities is about 25. + + The K-shell muon will be $m_\mu/m_e \simeq 207$ times nearer the nucleus + than a K-shell electron. The close proximity of the K-shell muon in the + Coulomb field of a nuclear, together with its weak interaction with the + nucleus, allows the muon to spend a significant fraction of time (\sn{}{-7} + -- \sn{}{-6} \second) within the nucleus, serving as an ideal probe for the + distribution of nuclear charge and nuclear moments. + +\end{enumerate} +% section atomic_capture_of_the_negative_muon (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Nuclear capture of the negative muon} +\label{sec:nuclear_muon_capture} +The nuclear capture process is written as: +\begin{equation} + \mu^- + A(N, Z) \rightarrow A(N, Z-1) + \nu_\mu + \label{eq:mucap_general} +\end{equation} +The resulting nucleus can be either in its ground state or in an excited state. +The reaction is manifestation of the elementary ordinary muon capture on the +proton: +\begin{equation} + \mu^- + p \rightarrow n + \nu_\mu + \label{eq:mucap_proton} +\end{equation} +If the resulting nucleus at is in an excited state, it could cascade to lower +states by emitting light particles and leaving a residual heavy nucleus. The +light particles are mostly neutrons and (or) photons. Neutrons can also be +directly knocked out of the nucleus via the reaction~\eqref{eq:mucap_proton}. +Charged particles are emitted with probabilities of a few percent, and are +mainly protons, deuterons and alphas have been observed in still smaller +probabilities. Because of the central interest on proton emission, it is covered +in a separated section. + +\subsection{Muon capture on the proton} +\label{sub:muon_capture_on_proton} +%It is theoretically +%very important in understanding the structure of the Lagrangian for the +%strangeness-preserving semileptonic weak interaction. But it is also the +%hardest one experimentally. The first reason is the rate is small ($\sim$460 +%\reciprocal\second) compares to the decay rate +%($\sim$\sn{455}{3}~\reciprocal\second)~\cite{Measday.2001}. Secondly, the +%$\mu p$ atom is quite active, so it is likely to form muonic molecules like +%$p\mu p$, $p\mu d$ and $p\mu t$, which complicate the study of weak +%interaction. +The underlying interaction in proton capture in Equation~\eqref{eq:mucap_proton} +at nucleon level and quark level +are depicted in the Figure~\ref{fig:feyn_protoncap}. The flow of time is from +the left to the right hand side, as an incoming muon and an up quark +exchange a virtual $W$ boson to produce a muon neutrino and a down quark, hence +a proton transforms to a neutron. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.4\textwidth]{figs/mucap_proton} + \hspace{10mm} + \includegraphics[width=0.4\textwidth]{figs/mucap_quark} + \caption{A tree-level Feynman diagram of muon capture on the proton, at the + nucleon-level (left), and at the quark-level (right).} + \label{fig:feyn_protoncap} +\end{figure} + +The four-momentum transfer in the interaction is fixed at +$q^2 = (q_n - q_p)^2 = -0.88m_\mu^2 \ll m_W^2$. The smallness of the momentum +transfer in comparison to the $W$ boson's mass makes it possible to treat the +interaction as a four-fermion interaction with Lorentz-invariant transition +amplitude: +\begin{equation} + \mathcal{M} = \frac{G_F V_{ud}}{\sqrt{2}}J^\alpha j_\alpha + \label{eq:4fermion_trans_amp} +\end{equation} +where $J$ is the nucleon current $p\rightarrow n$, and $j$ is the lepton +current $\mu \rightarrow \nu_\mu$, $G_F$ is the Fermi coupling constant, and +$V_{ud}$ is the matrix element of the Cabibbo-Kobayashi-Maskawa +(CKM) matrix. The lepton current is expressed as a purely $V-A$ coupling of +lepton states: +\begin{equation} + j_\alpha = i\bar{\psi}_\nu \gamma_\alpha (1 - \gamma_5) \psi_\mu + \label{eq:weakcurrent_lepton} +\end{equation} +The weak current of individual quarks is similar to that of leptons with the +only modification is an appropriate element of the CKM matrix ($V_{ud}$, which +is factored out in Eq.~\eqref{eq:4fermion_trans_amp}): +\begin{equation} + J^\alpha = i\bar{\psi}_d (1 - \gamma_5) \psi_u + \label{eq:weakcurrent_ud} +\end{equation} +If the nucleon were point-like, the nucleon current would have the same form as +in Eq.~\eqref{eq:weakcurrent_ud} with suitable wavefunctions of the proton and +neutron. But that is not the case, in order to account for the complication of +the nucleon, the current must be modified by six real form factors +$g_i(q^2), i = V, M, S, A, T, P$: +\begin{align} + J_\alpha &= i\bar{\psi}_n(V^\alpha - A^\alpha)\psi_p,\\ + V^\alpha &= g_V (q^2) \gamma^\alpha + i \frac{g_M(q^2)}{2m_N} + \sigma^{\alpha\beta} q_\beta + g_S(q^2)q^\alpha,\\ + A^\alpha &= g_A(q^2)\gamma^\alpha \gamma_5 + ig_T(q^2) + \sigma^{\alpha\beta} q_\beta\gamma_5 + \frac{g_P(q^2)}{m_\mu}\gamma_5 + q^\alpha, +\end{align} +where the $V^\alpha$ and $A^\alpha$ are the vector and axial currents, $m_\mu$ +and $m_N$ are the muon and nucleon mass, respectively. The scaling by the muon +and nucleon mass is by convention in Mukhopadhyay's +review~\cite{Mukhopadhyay.1977}. + +Among the six form factors, the so-called second class currents, $g_T$ and +$g_S$, vanish under the symmetry of G-parity, which is the product of charge +conjugation and isospin rotation. Experimental limits for non-zero $g_T$ and +$g_S$ are not very tight, but are negligible with respect to other +uncertainties in muon capture~\cite{Measday.2001}. + +The vector form factor $g_V$, and the weak-magnetic form factor $g_M$ are +equivalent to the electromagnetic form factors of the nucleon according the +conserved vector current (CVC) hypothesis. The values of these couplings are +determined from elastic electron-nucleon scattering experiments, then +extrapolated to the momentum transfer $q^2$. + +Using $\mu - e$ universality, the axial form factor $g_A$ in this case is +related to that of electron as: $(g_A/g_V)^\mu = (g_A/g_V)^e$ at zero momentum +transfer. This equality has been checked using results from muon decay and beta +decay experiments. The $q^2$-dependence of $g_A$ is deducted from neutrino +scattering experiments. + +The pseudoscalar form factor $g_P$ is determined by measuring the capture rate +of the process in Eq.~\eqref{eq:mucap_proton}. However, because of the smallness +capture rate in comparison to muon decay rate, and other complications due to +muonic molecules $p\mu p$, $d\mu p$ and $t\mu p$, $g_P$ is the least +well-defined form factor. Only recently, it is measured with a reasonable +precision~\cite{AndreevBanks.etal.2013a}. +The values of the six form factors at $q^2 = -0.88m^2_\mu$ are listed in +Table~\ref{tab:formfactors}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l l} + \toprule + \textbf{Form factor} & \textbf{Value at $-0.88m^2_\mu$}\\ + \midrule + $g_S$ & $0$\\ + $g_T$ & $0$\\ + $g_V$ & $0.976 \pm 0.001$\\ + $g_M$ & $3.583 \pm 0.003$\\ + $g_A$ & $1.247 \pm 0.004$\\ + $g_P$ & $8.06 \pm 0.55$\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Values of the weak form factors of the nucleon at $q^2 + = -0.88m^2_\mu$} + \label{tab:formfactors} +\end{table} + +%\hl{Radiative capture} +% subsection muon_capture_on_proton (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Total capture rate} +\label{sub:total_capture_rate} +The captured muon at the 1S state has only two choices, either to decay or to +be captured on the nucleus. Thus, the total capture rate for negative muon, +$\Lambda_t$ is given by: +\begin{equation} + \Lambda_t = \Lambda_c + Q \Lambda_d + \label{eq:mu_total_capture_rate} +\end{equation} +where $\Lambda_c$ and $\Lambda_d$ are partial capture rate and decay rate, +respectively, and $Q$ is the Huff factor, which is corrects for the fact that +muon decay rate in a bound state is reduced because of the binding energy +reduces the available energy. +%The total capture rates for several selected +%elements are compiled by Measday~\cite{Measday.2001}, +%and reproduced in +%Table~\ref{tab:total_capture_rate}. +%\begin{table}[htb] + %\begin{center} + %\begin{tabular}{l l r@{.}l r@{.}l@{$\pm$}l l} + %\toprule + %\textbf{$Z$ ($Z_{\textrm{eff}}$)} & + %\textbf{Element} & + %\multicolumn{2}{l}{\textbf{Mean lifetime}} & + %\multicolumn{3}{l}{\textbf{Capture rate}} & + %\textbf{Huff factor}\\ + %& & + %\multicolumn{2}{c}{\textbf{(\nano\second)}} & + %\multicolumn{3}{l}{\textbf{$\times 10^3$ (\reciprocal\second)}} &\\ + %\midrule + %1 (1.00) & $^1$H & 2194&90 $\pm$0.07 & 0&450 &0.020 & 1.00\\ + %& $^2$H & 2194&53 $\pm$0.11 & 0&470 &0.029 & \\ + %2 (1.98) & $^3$He & 2186&70 $\pm$0.10 & 2&15 &0.020 & 1.00\\ + %& $^4$He & 2195&31 $\pm$0.05 & 0&470&0.029 & \\ + %\bottomrule + %\end{tabular} + %\end{center} + %\caption{Total capture rate of the muon in nuclei for several selected + %elements, compiled by Measday~\cite{Measday.2001}} + %\label{tab:total_capture_rate} +%\end{table} + +Theoretically, it is assumed that the muon capture rate on a proton of the +nucleus depends only on the overlap of the muon with the nucleus. For light +nuclei where the point nucleus concept is applicable, there are $Z$ protons and +the radius of the muon orbital decreases as $Z^{-1}$, the probability of +finding the muon at the radius increases as $Z^3$, therefore the capture rate +increases as $Z^4$. Because the muon radius soon becomes comparable to that of +the nucleus, corrections are needed, so $Z_{\textrm{eff}}$ is used instead of +$Z$. + +The effect of the nucleus for higher $Z$ is more profound, there is no +theoretical model that provides a satisfied explanation for all experimental +data. One simple formula from Primakoff gives a reasonable, +and of course not perfect, description of the existing data~\cite{Measday.2001}: +\begin{equation} + \Lambda_c(A,Z) = Z^4_{\textrm{eff}} X_1 \left[1 + - X_2\left(\frac{A-Z}{2A}\right)\right] + \label{eq:primakoff_capture_rate} +\end{equation} +where $X_1 = 170$ \reciprocal\second~is the muon capture rate for hydrogen, but +reduced because a smaller phase-space in the nuclear muon capture compares to +that of a nucleon; and $X_2 = 3.125$ takes into account the fact that it is +harder for protons to transforms into neutrons due to the Pauli exclusion +principle in heavy nuclei where there are more neutrons than protons. +% subsection total_capture_rate (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Neutron emission} +\label{sub:neutron_emission} +The average number of neutrons emitted per muon capture generally increases +with $Z$, but there are large deviations from the trend due to particular +nuclear structure effects. The trend is shown in Table~\ref{tab:avg_neutron} +and can be expressed by a simple empirical function +$n_{avg} = (0.3 \pm 0.02)A^{1/3}$~\cite{Singer.1974}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{c c} + \toprule + \textbf{Elements} & \textbf{Average number of }\\ + & \textbf{neutrons per capture}\\ + \midrule + Al & 1.262 $\pm$ 0.059\\ + Si & 0.864 $\pm$ 0.072\\ + Ca & 0.746 $\pm$ 0.032\\ + Fe & 1.125 $\pm$ 0.041\\ + Ag & 1.615 $\pm$ 0.060\\ + I & 1.436 $\pm$ 0.056\\ + Au & 1.662 $\pm$ 0.044\\ + Pb & 1.709 $\pm$ 0.066\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Average number of neutrons emitted per muon capture compiled by + Measday~\cite{Measday.2001}} + \label{tab:avg_neutron} +\end{table} + +The neutron emission can be explained by several mechanisms: +\begin{enumerate} + \item Direct emission follows reaction~\eqref{eq:mucap_proton}: these neutrons + have fairly high energy, from a few \mega\electronvolt~to as high as 40--50 + \mega\electronvolt. + \item Indirect emission through an intermediate compound nucleus: the energy + transferred to the neutron in the process~\eqref{eq:mucap_proton} is 5.2 + \mega\electronvolt~if the initial proton is at rest, in nuclear + environment, protons have a finite momentum distribution, therefore the + mean excitation energy of the daughter nucleus is around 15 to 20 + \mega\electronvolt~\cite{Mukhopadhyay.1977}. This is above the nucleon + emission threshold in all complex nuclei, thus the daughter nucleus can + de-excite by emitting one or more neutrons. In some actinide nuclei, that + excitation energy might trigger fission reactions. The energy of indirect + neutrons are mainly in the lower range $E_n \le 10$ \mega\electronvolt~with + characteristically exponential shape of evaporation process. On top of that + are prominent lines might appear where giant resonances occur. +\end{enumerate} +Experimental measurement of neutron energy spectrum is technically hard, and it +is difficult to interpret the results. Due to these difficulties, only a few +energy spectrum measurements were made, none of them covers the full energy +range and mostly at high energy region~\cite{Measday.2001}. +% subsection neutron_emission_after_muon_capture (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section[Proton emission] +{Proton emission} +\label{sec:proton_emission} +\subsection{Experimental status} +\label{sub:experimental_status} +The measurement of charged particle emission is quite difficult and +some early measurements with nuclear emulsion are still the best available +data. There are two reasons for that: +\begin{enumerate} + \item The emission rate is small: the de-excitation of the nucleus through + charged particle is possible, but occurs at very low rate compares to + neutron emission. The rate is about 15\% for light nuclei and + reduces to a few percent for medium and heavy nuclei. + \item The charged particles are short ranged: the emitted protons, + deuterons and alphas are typically low energy (2--20~\mega\electronvolt). + But a relatively thick target is normally needed in order to achieve + a reasonable muon stopping rate and charged particle statistics. Therefore, + emulsion technique is particularly powerful. +\end{enumerate} +The first study was done by Morigana and Fry~\cite{MorinagaFry.1953} where +24,000 muon tracks were stopped in their nuclear emulsion which contains silver, +bromine, and other light elements, mainly nitrogen, carbon, hydrogen and +oxygen. The authors identified a capture on a light element as it would leave +a recoil +track of the nucleus. They found that for silver bromide AgBr, $(2.2 \pm +0.2)\%$ of the captures produced protons and $(0.5 \pm 0.1)\%$ produced alphas. +For light elements, the emission rate for proton and alpha are respectively +$(9.5 \pm 1.1)\%$ and $(3.4 \pm 0.7)\%$. Subsequently, Kotelchuk and +Tyler~\cite{KotelchuckTyler.1968} had a result which was about 3 times more +statistics and in fair agreement with Morigana and Fry +(Figure~\ref{fig:kotelchuk_proton_spectrum}) +\begin{figure}[htb] + \centering + \includegraphics[width=0.65\textwidth]{figs/kotelchuk_proton_spectrum} + \caption{Early proton spectrum after muon capture in silver bromide AgBr + recorded using nuclear emulsion. Image is taken from + Ref.~\cite{KotelchuckTyler.1968}} + \label{fig:kotelchuk_proton_spectrum} +\end{figure} + +Protons with higher energy are technically easier to measure, but because of +the much lower rate, they can only be studied at meson facilities. Krane and +colleagues~\cite{KraneSharma.etal.1979} measured proton emission from +aluminium, copper and lead in the energy range above 40 \mega\electronvolt~and +found a consistent exponential shape in all targets. The integrated yields +above 40 \mega\electronvolt~are in the \sn{}{-4}--\sn{}{-3} range (see +Table~\ref{tab:krane_proton_rate}), a minor contribution to total proton +emission rate. +\begin{table}[htb] + \begin{center} + \begin{tabular}{c c r@{$\pm$}l@{$\times$}r} + \toprule + \textbf{Target} & \textbf{Exponential constant}& + \multicolumn{3}{c}{\textbf{Integrated yield}}\\ + & \textbf{$E_0$ (MeV)} + & \multicolumn{3}{c}{\textbf{$E_p\ge 40$ MeV}}\\ + \midrule + Al & $7.5 \pm 0.4$ & (1.38&0.09)&\sn{}{-3}\\ + Cu & $8.3 \pm 0.5$ & (1.96&0.12)&\sn{}{-3}\\ + Pb & $9.9 \pm 1.1$ & (0.171&0.028)&\sn{}{-3}\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Proton integrated yields and exponential constants measured by Krane + et al.~\cite{KraneSharma.etal.1979}. The yields are assumed to be + proportional to exp($-E/E_0$).} + \label{tab:krane_proton_rate} +\end{table} + +Their result on aluminium, the only experimental data existing for this target, +is shown in Figure~\ref{fig:krane_proton_spec} in comparison with spectra from +neighbouring elements, namely silicon measured by Budyashov et +al.~\cite{BudyashovZinov.etal.1971} and magnesium measured Balandin et +al.~\cite{BalandinGrebenyuk.etal.1978}. The authors noted aluminium data and +silicon data are in reasonable agreement both in the yield and the energy +dependence, while magnesium data shows significant drop in intensity. They then +suggested the possibility of an interesting nuclear structure dependency that +might be at work in this mass range. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.65\textwidth]{figs/krane_proton_spec} + \caption{Yield of charged particles following muon capture in aluminium + target (closed circle) in the energy range above 40 MeV and an exponential + fit. The open squares are silicon data from Budyashov et + al.~\cite{BudyashovZinov.etal.1971}, the open triangles are magnesium data + from Balandin et al.~\cite{BalandinGrebenyuk.etal.1978}.} + \label{fig:krane_proton_spec} +\end{figure} + +The aforementioned difficulties in charged particle measurements could be +solved using an active target, just like nuclear emulsion. Sobottka and +Wills~\cite{SobottkaWills.1968} took this approach when using a Si(Li) detector +to stop muons. They obtained a spectrum of charged particles up to 26 +\mega\electronvolt~in Figure~\ref{fig:sobottka_spec}. The peak below 1.4 +\mega\electronvolt~is due to the recoiling $^{27}$Al. The higher energy events +including protons, deuterons and alphas constitute $(15\pm 2)\%$ of capture +events, which is consistent with a rate of $(12.9\pm1.4)\%$ from gelatine +observed by Morigana and Fry. This part has an exponential +decay shape with a decay constant of 4.6 \mega\electronvolt. Measday +noted~\cite{Measday.2001} the fractions of events in +the 26--32 \mega\electronvolt~range being 0.3\%, and above 32 +\mega\electronvolt~range being 0.15\%. This figure is in agreement with the +integrated yield above 40 \mega\electronvolt~from Krane et al. + +In principle, the active target technique could be applied to other material +such as germanium, sodium iodine, caesium iodine, and other scintillation +materials. The weak point of this method is that there is no particle +identification like in nuclear emulsion, the best one can achieve after all +corrections is a sum of all charged particles. It should be noted here +deuterons can contribute significantly, Budyashov et +al.~\cite{BudyashovZinov.etal.1971} found deuteron components to be +$(34\pm2)\%$ of the charged particle yield above 18 \mega\electronvolt~in +silicon, and $(17\pm4)\%$ in copper. +\begin{figure}[htb] + \centering + \includegraphics[width=0.75\textwidth]{figs/sobottka_spec} + \caption{Charged particle spectrum from muon capture in a silicon detector, + image taken from Sobottka and Wills~\cite{SobottkaWills.1968}.} + \label{fig:sobottka_spec} +\end{figure} + +Another technique had been used to study proton emission is the activation +method where the residual nucleus is identified by its radioactivity. This +method can provide the rate of charged particles emission by adding up the +figures from all channels such as $(\mu^-,\nu p)$, $(\mu^-,\nu p(xn))$, +$(\mu^-, \nu \alpha)$, $(\mu^-, \nu \alpha(xn))$. The number of elements that +can be studied using this method is limited by several requirements: (a) +mono-isotopic element is preferable; (b) the radioactive daughter should emit +gamma-rays with a reasonable half-life; (c) the $(\mu^-,\nu xn)$ reactions +should lead to either stable daughters, or daughters with very short +half-lives. The last condition is important in ensuring the dominating neutron +emission processes do not interfere with counting of the much less frequent +proton emission reactions. + +Vil'gel'mova et al.~\cite{VilgelmovaEvseev.etal.1971} found the single proton +(unaccompanied by any neutron) +emission rates in the $^{28}\textrm{Si}(\mu^-,\nu p)^{27}\textrm{Mg}$ and +$^{39}\textrm{K}(\mu^-,\nu p)^{38}\textrm{Cl}$ reactions are $(5.3 \pm 1.0)$\% +and $(3.2 \pm 0.6)$\%, respectively. +Singer~\cite{Singer.1974} compared the figure for silicon and the result from +active target measurement and found that the reaction +$^{28}\textrm{Si}(\mu^-,\nu pn)^{26}\textrm{Mg}$ could occur at a similar rate +to that of the $^{28}\textrm{Si}(\mu^-,\nu p)^{27}\textrm{Mg}$. That also +indicates that the deuterons and alphas might constitute a fair amount in the +spectrum in Figure~\ref{fig:sobottka_spec}. + +Wyttenbach et al.~\cite{WyttenbachBaertschi.etal.1978} studied $(\mu^-,\nu p)$, +$(\mu^-,\nu pn)$, $(\mu^-,\nu p2n)$, $(\mu^-,\nu p3n)$ and $(\mu^-,\nu\alpha)$ +in a wide range of 18 elements from sodium to bismuth.Their results plotted +against the Coulomb barrier for the outgoing protons are given in +Figure~\ref{fig:wyttenbach_rate_1p}, ~\ref{fig:wyttenbach_rate_23p}. The +classical Coulomb barrier $V$ they used are given by: +\begin{equation} + V = \frac{zZe^2}{r_0A^{\frac{1}{3}} + \rho}, + \label{eqn:classical_coulomb_barrier} +\end{equation} +where $z$ and $Z$ are the charges of the outgoing particle and of the residual +nucleus, values $r_0 = 1.35 \textrm{ fm}$, and $\rho = 0 \textrm{ fm}$ for +protons were taken. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/wyttenbach_rate_1p} + \caption{Activation results from Wyttenbach et + al.~\cite{WyttenbachBaertschi.etal.1978} for the $(\mu^-,\nu p)$ and + $(\mu^-,\nu pn)$ reactions.} + \label{fig:wyttenbach_rate_1p} +\end{figure} +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/wyttenbach_rate_23p} + \caption{Activation results from Wyttenbach et + al.~\cite{WyttenbachBaertschi.etal.1978} for the $(\mu^-,\nu p2n)$ and + $(\mu^-,\nu p3n)$ reactions.} + \label{fig:wyttenbach_rate_23p} +\end{figure} + +Wyttenbach et al.\ saw that the cross section of each reaction decreases +exponentially with increasing Coulomb barrier. The decay constant for all +$(\mu^-,\nu pxn)$ is about 1.5 per \mega\electronvolt~of Coulomb barrier. They +also commented a ratio for different de-excitation channels: +\begin{equation} + (\mu^-,\nu p):(\mu^-,\nu pn):(\mu^-,\nu p2n):(\mu^-,\nu p3n) = 1:6:4:4, + \label{eqn:wyttenbach_ratio} +\end{equation} +The authors compared their results with many preceded works and rejected +the results from Vil'gel'mova et al.~\cite{VilgelmovaEvseev.etal.1971} as being +too high, but Measday~\cite{Measday.2001} noted it it is not +necessarily true since there has been suggestion from other experiments that +$(\mu^-, \nu p)$ reactions might become more important for light nuclei. +Measday also commented that the ratio~\eqref{eqn:wyttenbach_ratio} holds over +a broad range of mass, but below $A=40$ the $(\mu^-,\nu p)$ reaction can vary +significantly from nucleus to nucleus. +% subsection experimental_status (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Theoretical models} +\label{sub:theoretical_models} + +The first attempt to explain the result of Morigana and Fry was done by +Ishii~\cite{Ishii.1959}. He assumed a two-step scenario: firstly a compound +nucleus is formed, and then it releases energy by statistical emission of +various particles. Three models for momentum distribution of protons in the +nucleus were used: (I) the Chew-Goldberger distribution +$\rho(p) \sim A/(B^2 + p^2)^2$; (II) Fermi gas at zero temperature; and (III) +Fermi gas at a finite temperature ($kT = 9$ \mega\electronvolt). + +A very good agreement with the experimental result for the alpha emission was +obtained with distribution (III), both in the absolute percentage and the energy +distribution (curve (III) in the left hand side of +Figure~\ref{fig:ishii_cal_result}). However, the calculated emission of protons +at the same temperature falls short by about 10 +times compares to the data. The author also found that the distribution +(I) is unlikely to be suitable for proton emission, and using that distribution +for alpha emission resulted in a rate 15 times larger than observed. + +\begin{figure}[htb] + \centering + \includegraphics[width=.49\textwidth]{figs/ishii_cal_alpha} + %\hspace{10mm} + \includegraphics[width=.49\textwidth]{figs/ishii_cal_proton} + \caption{Alpha spectrum (left) and proton spectrum (right) from Ishii's + calculation~\cite{Ishii.1959} in comparison with experimental data from + Morigana and Fry. Image is taken from Ishii's paper.} + \label{fig:ishii_cal_result} +\end{figure} +Singer~\cite{Singer.1974} noted that by assuming a reduced effective mass for +the nucleon, the average excitation energy will increase, but the proton +emission rate does not significantly improve and still could not explain the +large discrepancy. He concluded that the evaporation mechanism can account +for only a small fraction of emitted protons. Moreover, the high energy protons +of 25--50 \mega\electronvolt~cannot be explained by the evaporation mechanism. +He and Lifshitz~\cite{LifshitzSinger.1978, LifshitzSinger.1980} proposed two +major corrections to Ishii's model: +\begin{enumerate} + \item A new description of the nucleon momentum in the nucleus with more high + momentum components. This helps explaining the high momentum part of the + proton spectrum. + \item Pre-equilibrium emission of proton is included: both pre-equilibrium + and statistical emission were taken into account. The equilibrium state is + achieved through a series of intermediate states, and at each state there + is possibility for particles to escape from the nucleus. +\end{enumerate} +With these improvements, the calculated proton spectrum agreed reasonably with +data from Morigana and Fry in the energy range $E_p \le 30$ \mega\electronvolt. +Lifshitz and Singer noted the pre-equilibrium emission is more important for +heavy nuclei. Its contribution in light nuclei is about a few percent, +increasing to several tens of percent for $10028 \pm 4$ & (70) & 7.5 for $T>40$ MeV \\ + $^{28}_{14}$Si & 144 & $150\pm30$ & & 3.1 and 0.34 $d$ for $T>18$ MeV \\ + $^{31}_{15}$P & 35 & $>61\pm6$ & (91) & \\ + $^{46}_{22}$Ti & & & & \\ + $^{51}_{23}$V & 25 & $>20\pm1.8$ & (32) & \\ + %item1\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Calculated of the single proton emission rate and the inclusive + proton emission rate. The experimental data are mostly from Wyttenbach et +al.\cite{WyttenbachBaertschi.etal.1978}} + \label{tab:lifshitzsinger_cal_proton_rate} +\end{table} +A generally good agreement between calculation and experiment can be seen from +Table~\ref{tab:lifshitzsinger_cal_proton_rate}. The rate of $(\mu^-,\nu p)$ +reactions for $^{28}\textrm{Al}$ and $^{39}\textrm{K}$ are found to be indeed +higher than average, though not as high as Vil'gel'mora et +al.~\cite{VilgelmovaEvseev.etal.1971} observed. + +For protons with higher energies in the range of +40--90 \mega\electronvolt~observed in the emulsion data as well as in later +experiments~\cite{BudyashovZinov.etal.1971,BalandinGrebenyuk.etal.1978, +KraneSharma.etal.1979}, Lifshitz and Singer~\cite{LifshitzSinger.1988} +suggested another contribution from capturing on correlated two-nucleon +cluster, an idea that had been proposed earlier by Singer~\cite{Singer.1961}. +In this calculation, the authors considered the captures on cluster in which +two nucleons interact with each other via meson exchange current. There is +experimental evidence that the nuclear surface is reach in nucleon clusters, +and it had been shown that the meson exchange current increases the total +capture rate in deuterons by 6\%. The result of this model was a mix, it +accounted well for Si, Mg and Pb data, but predicted rates about 4 times +smaller in cases of Al and Cu, and about 10 times higher in case of AgBr +(Table~\ref{tab:lifshitzsinger_cal_proton_rate_1988}). +\begin{table}[htb] + \begin{center} + \begin{tabular}{l l c} + \toprule + \textbf{Nucleus} & \textbf{Exp.$\times 10^3$} & \textbf{MEC cal.$\times + 10^3$}\\ + \midrule + Al & $1.38 \pm 0.09$ & 0.3\\ + Si & $0.87 \pm 0.14$ & 0.5\\ + Mg & $0.17 \pm 0.05$ & 0.2\\ + Cu & $1.96 \pm 0.12$ & 0.5\\ + AgBr & $(4.7 \pm 1.1)\times 10^{-2}$ & 0.4\\ + Pb & $0.17 \pm 0.03$ & 0.3\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Probability of proton emission with $E_p \ge 40$ + \mega\electronvolt~as calculated by Lifshitz and + Singer~\cite{LifshitzSinger.1988} in comparison with available data.} + \label{tab:lifshitzsinger_cal_proton_rate_1988} +\end{table} +% subsection theoretical_models (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Summary on proton emission from aluminium} +\label{sub:summary_on_proton_emission_from_aluminium} +There is no direct measurement of proton emission following +muon capture in the relevant energy for the COMET Phase-I of 2.5--10 +\mega\electronvolt: +\begin{enumerate} + \item Spectrum wise, only one energy spectrum (Figure~\ref{fig:krane_proton_spec}) + for energies above 40 \mega\electronvolt~is available from Krane et + al.~\cite{KraneSharma.etal.1979}, + where an exponential decay shape with a decay constant of + $7.5 \pm 0.4$~\mega\electronvolt. At low energy range, the best one can get is + the charged particle spectrum, which includes protons, deuterons and alphas, + from the neighbouring element silicon (Figure~\ref{fig:sobottka_spec}). + This charged particle spectrum peaks around 2.5 \mega\electronvolt~and + reduces exponentially with a decay constant of 4.6 \mega\electronvolt. + \item The activation data from Wyttenbach et + al.~\cite{WyttenbachBaertschi.etal.1978} only gives rate of + $^{27}\textrm{Al}(\mu^-,\nu pn)^{25}\textrm{Na}$ reaction, and set a lower + limit for proton emission rate at $(2.8 \pm 0.4)\%$ per muon capture. If + the ratio~\eqref{eqn:wyttenbach_ratio} holds true for aluminium, then the + inclusive proton rate would be $7\%$, higher than the calculated rate of + $4\%$ by Lifshitz and Singer~\cite{LifshitzSinger.1980}. + Both activation technique and inclusive rate calculation do not distinguish + between different channels that give the same final state, such as between + $^{27}\textrm{Al}(\mu^-,\nu pn)^{25}\textrm{Na}$ and + $^{27}\textrm{Al}(\mu^-,\nu d)^{25}\textrm{Na}$ reactions. +\end{enumerate} + +In short, the knowledge on proton emission from aluminium at low energy is +limited. The rate estimation does not separate protons from deuterons, +and experimentally, there is a lower limit of $(2.8\pm0.4)\%$ per muon capture. +A spectrum shape at this energy range is not available. +% subsection summary_on_proton_emission_from_aluminium (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section proton_emission (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{The AlCap experiment} +\label{sec:the_alcap_experiment} +\subsection{Motivation of the AlCap experiment} +\label{sub:motivation_of_the_alcap_experiment} +As mentioned, protons from muon capture on aluminium might cause a very high +rate in the COMET Phase-I CDC. The detector is designed to accept particles +with momenta in the range of 75--120 \mega\electronvolt\per\cc. +Figure~\ref{fig:proton_impact_CDC} shows that protons with kinetic energies of +2.5--8 \mega\electronvolt~will hit the CDC. Such events are troublesome due to +their large energy deposition. Deuterons and alphas at that momentum range is +not of concern because they have lower kinetic energy and higher stopping +power, thus are harder to escape the muon stopping target. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/proton_impact_CDC} + \caption{Momentum-kinetic energy relation of protons, deuterons and alphas + below 10\mega\electronvolt. Shaded area is the acceptance of the COMET +Phase-I's CDC. Protons with energies in the range of 2.5--8 +\mega\electronvolt~are in the acceptance of the CDC. Deuterons and alphas at +low energies should be stopped inside the muon stopping target.} + \label{fig:proton_impact_CDC} +\end{figure} + +The COMET plans to introduce a thin, low-$Z$ proton absorber in between the +target and the CDC to produce proton hit rate. The absorber will be effective +in removing low energy protons. The high energy protons that are moderated by +the absorber will fall into the acceptance range of the CDC, but because of the +exponential decay shape of the proton spectrum, the hit rate caused by these +protons should be affordable. + +The proton absorber solves the problem of hit rate, but it degrades the +reconstructed momentum resolution. Therefore its thickness and geometry should +be carefully designed. The limited information available makes it difficult to +arrive at a conclusive detector design. The proton emission rate could be 4\% +as calculated by Lifshitz and Singer~\cite{LifshitzSinger.1980}; or 7\% as +estimated from the $(\mu^-,\nu pn)$ activation data and the ratio +\eqref{eqn:wyttenbach_ratio}~\cite{WyttenbachBaertschi.etal.1978}; or as high +as 15-20\% from silicon and neon. + +For the moment, design decisions in the COMET Phase-I are made based on +conservative assumptions: emission rate of 15\% and an exponential decay shape +are adopted follow the silicon data from Sobottka and Will +~\cite{SobottkaWills.1968}. The spectrum shape is fitted with an empirical +function given by: +\begin{equation} + p(T) = A\left(1-\frac{T_{th}}{T}\right)^\alpha e^{-(T/T_0)}, + \label{eqn:EH_pdf} +\end{equation} +where $T$ is the kinetic energy of the proton, and the fitted parameters are +$A=0.105\textrm{ MeV}^{-1}$, $T_{th} = 1.4\textrm{ MeV}$, $\alpha = 1.328$ and +$T_0 = 3.1\textrm{ MeV}$. The baseline +design of the absorber is 1.0 \milli\meter~thick +carbon-fibre-reinforced-polymer (CFRP) which contributes +195~\kilo\electronvolt\per\cc~to the momentum resolution. The absorber also +down shifts the conversion peak by 0.7 \mega\electronvolt. This is an issue as +it pushes the signal closer to the DIO background region. For those reasons, +a measurement of the rate and spectrum of proton emission after muon capture is +required in order to optimise the CDC design. +% subsection motivation_of_the_alcap_experiment (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Experimental method for proton measurement} +\label{sub:experimental_method} +We planned to use a low energy, narrow momentum spread available at PSI to +fight the aforementioned difficulties in measuring protons. The beam momentum +is tunable from 28 to 45~\mega\electronvolt\ so that targets at different +thickness from 25 to 100 \micro\meter\ can be studied. The $\pi$E1 beam line +could provide about \sn{}{3} muons\per\second\ at 1\% momentum spread, and +\sn{}{4} muons\per\second\ at 3\% momentum spread. With this tunable beam, the +stopping distribution of the muons is well-defined. + +The principle of the particle identification used in the AlCap experiment is +that for each species, the function describes the relationship between energy +loss per unit length (dE/dx) and the particle energy E is uniquely defined. +With a simple system of two detectors, dE/dx can be obtained by +measuring energy deposit $\Delta$E in one detector of known thickness +$\Delta$x, and E is the sum of energy deposit in both detector if the particle +is fully stopped. + +In the AlCap, we realise the idea with a pair of silicon detectors: one thin +detector of 65~\micron\ serves as the $\Delta$E counter, and one thick detector +of 1500~\micron\ that can fully stop protons up to about 12~MeV. Since the +$\Delta \textrm{d}=65$~\micron\ is known, the function relates dE/dx to +E reduces to a function between $\Delta$E and E. Figure~\ref{fig:pid_sim} shows +that the function of protons can be clearly distinguished from other charged +particles in the energy range of interest. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.75\textwidth]{figs/pid_sim} + \caption{Simulation study of PID using a pair of silicon detectors} + \label{fig:pid_sim} +\end{figure} + +The AlCap uses two pairs of detector with large area, placed symmetrically with +respect to the target provide a mean to check for muon stopping distribution. +The absolute number of stopped muons are inferred +from the number of muonic X-rays recorded by a germanium detector. For +aluminium, the $(2p-1s)$ line is at 346 \kilo\electronvolt. The acceptances of +detectors will be assessed by detailed Monte Carlo study using Geant4. + +% subsection experimental_method (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Goals and plan of the experiment} +\label{sub:goals_of_the_experiment} + +Our experimental program is organised in three distinct work packages (WP), +directed by different team leaders, given in parentheses. + +\begin{itemize} +\item[WP1:] (Kammel (Seattle), Kuno(Osaka)) \textbf{Charged +Particle Emission after Muon Capture.}\\ Protons emitted after nuclear muon +capture in the stopping target dominate the single-hit rates in the tracking +chambers for both the Mu2e and COMET Phase-I experiments. We plan to measure +both the total rate and the energy spectrum to a precision of 5\% down to +proton energies of 2.5 MeV. +\item[WP2:] (Lynn(PNNL), Miller(BU)) +\textbf{Gamma and X-ray Emission after Muon Capture.}\\ A Ge detector will +be used to measure X-rays from the muonic atomic cascade, in order to provide +the muon-capture normalization for WP1, and is essential for very thin +stopping targets. It is also the primary method proposed for calibrating the +number of muon stops in the Mu2e and COMET experiments. Two additional +calibration techniques will also be explored; (1) detection of delayed gamma +rays from nuclei activated during nuclear muon capture, and (2) measurement +of the rate of photons produced in radiative muon decay. The first of these +would use a Ge detector and the second a NaI detector. The NaI +calorimeter will measure the rate of high energy photons from radiative muon +capture (RMC), electrons from muon decays in orbit (DIO), and photons from +radiative muon decay (RMD), as potential background sources for the +conversion measurement. As these rates are expected to be extremely low near +the conversion electron energy, only data at energies well below 100 MeV will +be obtained. +\item[WP3:] (Hungerford(UH), Winter(ANL)) \textbf{Neutron +Emission after Muon Capture.}\\ Neutron rates and spectra after capture in +Al and Ti are not well known. In particular, the low energy region below 10 +MeV is important for determining backgrounds in the Mu2e/COMET detectors and + veto counters as well as evaluating the radiation damage to electronic +components. Carefully calibrated liquid scintillation detectors, employing +neutron-gamma discrimination and spectrum unfolding techniques, will measure +these spectra. The measurement will attempt to obtain spectra as low or lower +than 1 MeV up to 10 MeV. \\ +\end{itemize} + +WP1 is the most developed +project in this program. Most of the associated apparatus has been built and +optimized. We are ready to start this experiment in 2013, while preparing and +completing test measurements and simulations to undertake WP2 and WP3. + +The measurement of proton has been carried out in November and December 2013, +the details are described in following chapters. +% subsection goals_of_the_experiment (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section the_alcap_experiment (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% section nuclear_muon_capture (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% chapter alcap_phys (end) diff --git a/thesis2/chapters/chap5_alcap_setup.tex b/thesis2/chapters/chap5_alcap_setup.tex new file mode 100644 index 0000000..638aa6b --- /dev/null +++ b/thesis2/chapters/chap5_alcap_setup.tex @@ -0,0 +1,638 @@ +\chapter{The AlCap Run 2013} +\label{cha:the_alcap_run_2013} +\thispagestyle{empty} +The first run of the AlCap experiment was performed at the $\pi$E1 beam line +area, PSI (Figure~\ref{fig:psi_exp_hall_all}) from November 26 to December 23, +2013. The goal of the run was to measure protons rate and spectrum following +muon capture on aluminium. + +\begin{figure}[p] + \centering + \includegraphics[height=0.85\textheight]{figs/psi_exp_hall_all} + \caption{Layout of the PSI experimental hall, $\pi$E1 experimental area is + marked with the red circle. \\Image taken from + \url{http://www.psi.ch/num/FacilitiesEN/HallenplanPSI.png}} + \label{fig:psi_exp_hall_all} +\end{figure} + +\section{Experimental set up} +\label{sec:experimental_set_up} +The low energy muons from the $\pi$E1 beam line were stopped in thin aluminium +and silicon targets, and charged particles emitted were measured by two pairs +of silicon detectors inside of a vacuum vessel +(Figure~\ref{fig:alcap_setup_detailed}). A stopped muon event is defined by +a group of upstream detectors and a muon veto plastic scintillator. +The number of stopped muons is monitored by a germanium detector placed outside +of the vacuum chamber. In addition, several plastic scintillators were used to +provide veto signals for the silicon and germanium detectors. Two liquid +scintillators for neutron measurements were also tested in this run. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.65\textwidth]{figs/alcap_setup_detailed} + \caption{AlCap detectors: two silicon packages inside the vacuum vessel, + muon beam detectors including plastic scintillators and a wire chamber, + germanium detector and veto plastic scintillators.} + \label{fig:alcap_setup_detailed} +\end{figure} + +\subsection{Muon beam and vacuum chamber} +Muons in the $\pi$E1 beam line are decay products of pions created +as a 590~\mega\electronvolt\ proton beam hit a thick carbon target +(E-target in Figure~\ref{fig:psi_exp_hall_all}). The beam line was designed to +deliver muons with momenta ranging from 10 to 500~\mega\electronvolt\per\cc\ +and +momentum spread from 0.26 to 8.0\%. These parameters can be selected by +changing various magnets and slits shown in +Figure~\ref{fig:psi_piE1_elements}~\cite{Foroughli.1997}. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.7\textwidth]{figs/psi_piE1_elements} + \caption{The $\pi$E1 beam line} + \label{fig:psi_piE1_elements} +\end{figure} + +One of the main requirements of the AlCap experiment was a low energy muon beam +with narrow momentum bite in order to achieve a high fraction of stopping muons +in the very thin targets. In this Run 2013, muons from 28 to +45~\mega\electronvolt\per\cc\ and momentum spread of 1\% and 3\%were used. + +For part of the experiment the target was replaced with one of the silicon +detector packages allowed an accurate momentum and range calibration +%(via range-energy relations) +of the beam at the target. Figure~\ref{fig:Rates} shows the measured muon rates +as a function of momentum for two different momentum bites. +Figure~\ref{fig:Beam} shows an example of the resulting energy spectra. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.6\textwidth]{figs/Rates.png} + \caption{Measured muon rate (kHz) at low momenta. Momentum bite of 3 and 1 \% + FWHM, respectively.} + \label{fig:Rates} +\end{figure} + +\begin{figure}[htbp] + \centering + \includegraphics[width=0.9\textwidth]{figs/beam.pdf} + \caption{Energy deposition at 36.4 MeV/c incident muon beam in an + 1500-\micron-active + target. The peak at low energy is due to beam electrons, the + peaks at higher energies are due to muons. Momentum bite of 1 and 3\% FWHM + on left and right hand side, respectively.} \label{fig:Beam} +\end{figure} + +The targets and charged particle detectors are installed inside the vacuum +chamber as shown in Figure~\ref{fig:alcap_setup_detailed}. The muon beam enters +from the right of the image and hits the target, which is placed at the +centre of the vacuum chamber and orientated at 45 degrees to the beam axis. +The side walls and bottom flange of the vessel provide several +vacuum-feedthroughs for the high voltage and signal cables for the silicon and +scintillator detectors inside the chamber. +In addition, the chamber is equipped with several lead collimators +%so that muons that are not captured in the target would quickly decay. +to quickly capture muons that do not stop in the actual target. +%\begin{figure}[htbp] + %\centering + %\includegraphics[width=0.55\textwidth]{figs/SetupOverview.jpg} + %\caption{Vacuum chamber in beam line} + %\label{fig:SetupOverall} +%\end{figure} + +%It is known fact that there is a risk of sparkling between the electrodes of +%a silicon detector in the low vacuum region of $10^{-3}$ mbar. +%An interlock mechanism was installed to prevent the bias of the +%silicon detectors from being applied before the safe vacuum level. +For a safe operation of the silicon detector, a vacuum of $<10^{-4}$\,mbar was +necessary. With the help of the vacuum group of PSI, we could consistently +reach $10^{-4}$\,mbar within 45 minutes after closure of the chamber's top +flange. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Silicon detectors} +The main detectors for proton measurement in the Run 2013 were four large area +silicon detectors. The silicon detectors were grouped into two detector +packages located symmetrically at 90 degrees of the nominal muon beam path, SiL +and SiR in Figure~\ref{fig:alcap_setup_detailed}. Each arm consists of: one +$\Delta$E counter, a 65-\micro\meter-thick silicon detector, divided into +4 quadrants; one E counter made from 1500-\micron-thick silicon; and one +plastic scintillator to identify electrons or high energy protons that pass +through the silicon. The area of each of these silicon detectors and the +scintillators is $50\times50 \textrm{mm}^2$. + +The detectors were named according to their positions relative to the muon +view: the SiL package contains the thin +detector SiL1 and thick detector SiL2; the SiR package has SiR1 and SiR2 +accordingly. Each quadrant of the thin detectors were also numbered from 1 to +4, i.e. SiL1-1, SiL1-2, SiL1-3, SiL1-4, SiR1-1, SiR1-2, SiR1-3, +SiR1-4. + +Bias for the four silicon detectors was supplied by an ORTEC 710 NIM module, +which has a vacuum interlock input to prevent biasing before the safe vacuum +level has been reached. Typical voltage to fully depleted the detectors were +-300~\volt\ and -10~\volt\ for the thick and thin silicon detectors +respectively. The leakage currents at the operating voltages are less than +1.5~\micro\ampere\ for the thick detectors, and about 0.05~\micro\ampere\ +for the thin ones (see Figure~\ref{fig:si_leakage}). +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/si_leakage} + \caption{Leakage currents of the silicon detectors under bias.} + \label{fig:si_leakage} +\end{figure} + +The fact that a detector were fully depleted was checked by putting +a calibration source $^{241}\textrm{Am}$ at its ohmic side, and observing the +output +pulse height on an oscilloscope. One would expect that the maximum pulse height +increases as the bias is raised until the voltage of fully depleted. The effect +can also be seen on the pulse height spectrum as in +Figure~\ref{fig:sir2_bias_alpha}. +\begin{figure}[htb] + \centering + \includegraphics[width=0.75\textwidth]{figs/sir2_bias_alpha} + \caption{$^{241}\textrm{Am}$ spectra in cases of fully depleted (top), and + partly depleted (bottom).} + \label{fig:sir2_bias_alpha} +\end{figure} + +%It is known that the noise level of a silicon detector increases linearly with +%its capacity. So both noise and pick-up suppression had been carefully +%optimised in the real PSI accelerator environment, particularly for the thin +%silicon detectors which have a large capacity of 1~\nano\farad~in each +%quadrant. +%After improving the feed-through flanges during the set-up phase of the +%experiment with isolated ground connections, good electronic resolution of +%55--76~\kilo\electronvolt\ FWHM was achieved in the thin silicon detectors. +%So achieving good energy resolution was particularly challenging +%for the thin silicon detector, as each quadrant had a large capacity of +%1~\nano\farad. Both +%noise and pick-up suppression had been carefully optimized in the real PSI +%accelerator environment. +%Optimization of the fast timing signals proved another challenge. +%The energy calibration for the silicon detectors were done +%by several means: +%\begin{enumerate} + %\item An $^{241}\textrm{Am}$ alpha source: the main alpha + %particles have energies of 5.484~\mega\electronvolt\ (85.2\%) and + %5.442~\mega\electronvolt\ (12.5\%). The source emits 79.5 + %$\alpha\per\second$ in 2$\pi$~\steradian. + %\item Test pulse with a fixed amplitude: the preamplifiers used for the + %silicon detectors are come with the manufacturer's specification on the + %response, namely a 66 \milli\volt\ fed into the test input will produce an + %output equivalent to that of a 1 \mega\electronvolt\ energy deposition. + %\item Minimum ionisation particles + %(MIPs): electrons in the beam are MIPs with a nominal deposit energy of + %388~\electronvolt\per\micro\meter\ Si. This is only applicable for thick + %silicon detectors because the energy deposit is large enough and the energy + %resolution is good enough. During the run, this peak was observed to make + %sure the stability of the electronics. + %\item Muons with different momenta: the thick silicon detectors were placed + %at the target position during beam tuning period, allowed an accurate + %momentum and range calibration. This also only works with thick silicon + %detectors. +%\end{enumerate} +% subsection silicon_detectors (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Upstream counters} +\label{sub:upstream_counters} +The upstream detector consists of three counters: a 500~$\mu$m thick +scintillator muon trigger counter ($\mu$SC); a muon anti-coincidence counter +($\mu$SCA) surrounding the trigger counter with a hole +of 35 \milli\meter\ in diameter to define the beam radius; and a multi-wire +proportional chamber ($\mu$PC) that uses 24 X wires and 24 Y wires at +2~\milli\meter~intervals. + +The upstream detectors provide signal of an incoming muon as coincident hits on +the muon trigger and the wire chamber in anti-coincident with the muon +anti-coincidence counter. +This set of detectors along with their read-out system +belong to the MuSun experiment, which operated at the same beam line just +before our run. Thanks to the MuSun group, the detectors were well-tuned and +ready to be used in our run without any modification. + +% subsection upstream_counters (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Germanium detector} +%\begin{figure}[htbp] + %\centering + %\includegraphics[width=0.9\textwidth]{figs/neutron.png} + %\caption{Setup of two + %liquid scintillators outside the vacuum envelope for neutron detection.} + %\label{fig:neutron} +%\end{figure} +We used a germanium detector to normalise the number of stopped muons by +measuring characteristics muon X-rays from the target material. The primary +X-rays of interest are the 346.828~keV line for aluminium targets, and the +400.177 line for silicon targets. The energies and intensities of the X-rays +listed in Table~\ref{tab:xray_ref} follow measurement results from +Measday and colleagues~\cite{MeasdayStocki.etal.2007}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{c l l l l } + \toprule + \textbf{Elements} & \textbf{Transition} + & \textbf{Energy} & \textbf{Intensity}\\ + \midrule + $^{27}\textrm{Al}$ & $2p-1s$ & $346.828 \pm 0.002$ & $79.8\pm 0.8$\\ + & $3p-1s$ & $412.87 \pm 0.05$ & $7.62\pm 0.15$\\ + \midrule + $^{28}\textrm{Si}$ & $2p-1s$ & $400.177 \pm 0.005$ & $80.3\pm 0.8$\\ + & $3p-1s$ & $476.80 \pm 0.05$ & $7.40 \pm 0.20$\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Reference values of major muonic X-rays from aluminium and silicon.} + \label{tab:xray_ref} +\end{table} + +The germanium detector is +a GMX20P4-70-RB-B-PL, n-type, coaxial high purity germanium detector produced +by ORTEC. The detector was optimised for low energy gamma and X-rays +measurement with an ultra-thin entrance window of 0.5-mm-thick beryllium and +a 0.3-\micron-thick ion implanted contact (Figure~\ref{fig:ge_det_dimensions}). +This detector is equipped with a transistor reset preamplifier which, +according to the producer, enables it to work in an ultra-high rate environment +up to $10^6$ counts\per\second~ at 1~\mega\electronvolt. +\begin{figure}[htb] + \centering + \includegraphics[width=0.9\textwidth]{figs/ge_det_dimensions} + \caption{Dimensions of the germanium detector} + \label{fig:ge_det_dimensions} +\end{figure} + +The detector was installed outside of the vacuum chamber at 32 cm from the +target, seeing the target through a 10-mm-thick aluminium window, behind +a plastic scintillator counter used to veto electrons. Liquid nitrogen +necessary for the operation of the detector had to be refilled every 8 hours. +A timer was set up in the data acquisition system to remind this. + +\subsection{Plastic and liquid scintillators} +\label{sub:plastic_scintillators} +Apart from the scintillators in the upstream group, there were four other +plastic scintillators used as veto counters for: +\begin{itemize} + \item punch-through-the-target muons, ScVe + \item electrons and other high energy charged particles for germanium + detector (ScGe) and silicon detectors (ScL and ScR) +\end{itemize} +The ScL, ScR and ScVe were installed inside the vacuum vessel and were +optically connected to external PMTs by light-guides at the bottom flange. + +We also set up two liquid scintillation counters for neutron measurements in +preparation for the next beam time where the neutron measurements will be +carried out. +% subsection plastic_scintillators (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Front-end electronics and data acquisition system} +The front-end electronics of the AlCap experiment was simple since we employed +a trigger-less read out system with waveform digitisers and flash ADCs +(FADCs). As shown in Figure~\ref{fig:alcapdaq_scheme}, all plastic +scintillators signals were amplified by PMTs, then fed into the digitisers. The +signals from silicon and germanium detectors were preamplified, and +subsequently shaped by spectroscopy amplifiers and timing filter amplifiers +(TFAs) to provide energy and timing information. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.99\textwidth]{figs/alcapdaq_scheme} + \caption{Schematic diagram of the electronics and DAQ used in the Run 2013} + \label{fig:alcapdaq_scheme} +\end{figure} + +The germanium detector has its own transistor reset preamplifier +installed very close to the germanium crystal. Two ORTEC Model 142 +preamplifiers were used for the thick silicon detectors. The timing outputs of +the preamplifiers were fed into three ORTEC Model 579 TFAs. +We used an ORTEC Model 673 to shape the germanium signal with 6~\micro\second +shaping time. + +A more modern-style electronics was used for thin silicon detectors where the +preamplifier, shaping and timing amplifiers were implemented on one compact +package, namely a Mesytec MSI-8 box. This box has 8 channels, each channel +consists of one preamplifier board and one shaper-and-timing filter board which +can be fine-tuned independently. The shaping time was set to 1~\micro\second\ +for all channels. + +The detector system produced signals that differs significantly in time scale, +ranging from very fast (about 40~\nano\second\ from scintillators) to very slow +(several \micro\second\ from shaping outputs of semiconductor detectors). This +lead to the use of several sampling frequencies from 17~\mega\hertz\ to +250~\mega\hertz, and three types of digitisers were employed: +\begin{itemize} + \item custom-built 12-bit 170-MHz FADCs which was designed for the + MuCap experiment. Each FADC board has dimensions the same as those of + a single-width 6U VME module, but is hosted in a custom built crate due to + its different power supply mechanical structure. The FADC communicates with + a host computer through a 100-Mb/s Ethernet interface using a simple + Ethernet-level protocol. The protocol only allows detecting + incomplete data transfers but no retransmitting is possible due to the + limited size of the module's output buffer. The FADCs accept clock signal + at the frequency of 50~\mega\hertz\ then multiply that internally up to + 170~\mega\hertz. Each channel on one board can run at different sampling + frequency not dependent on other channels. The FADC has 8 single-ended + LEMO inputs with 1~\volt pp dynamic range. + \item a 14-bit 100-MS/s CAEN VME FADC waveform digitiser model V1724. The + module houses 8 channels with 2.25~Vpp dynamic range on single-ended MCX + coaxial inputs. The digitiser features an optical link for transmission of + data to its host computer. All of 8 channels run at the same sampling + frequency and have one common trigger. + \item a 12-bit 250-MS/s CAEN desktop waveform digitizer model DT5720. This + digitiser is similar to the V1724, except for its form factor and maximum + sampling frequency. Although there is an optical link available, the module + is connected to its host computer through a USB 2.0 interface where data + transfer rate of 30 MB/s was determined to be good enough in our run + (actual data rate from this digitiser was typically about 5 MB/s during the + run). Communication with both CAEN digitisers was based on CAEN's + proprietary binary drivers and libraries. +\end{itemize} +All digitisers were driven by external clocks which were derived from the same +500-\mega\hertz\ master clock, a high precision RF signal generator Model SG382 +of Stanford Research System. + +The silicon detectors were read out by FADC boards feature network-based data +readout interface. To maximize the data throughput, each of the four FADC +boards was read out through separate network adapter. +The CAEN digitisers were used to read out +the germanium detector (timing and energy, slow signals) or scintillator +detectors (fast signals). For redundancy, all beam monitors ($\mu$SC, $\mu$SCA +and $\mu$PC) were also read out by a CAEN time-to-digital converter (TDC) +model V767 which was kindly provided by the MuSun experiment. + +The Data Acquisition System (DAQ) of the AlCap experiment, so-called AlCapDAQ, +provided the readout of front-end electronics, event assembling, data logging, +hardware monitoring and control, and the run database of the experiment +(Figure~\ref{fig:alcapdaq_pcs}). It was based on MIDAS framework~\footnote{ +MIDAS is a general purpose DAQ software system developed at PSI and TRIUMF:\\ +\url{http://midas.triumf.ca}} and consisted of two circuits, {\em i}) +a detector circuit for synchronous data readout from the front-end electronics +instrumenting detectors, and {\em ii}) a slow control circuit for asynchronous +periodic hardware monitoring (vacuum, liquid nitrogen +filling). The detector circuit consisted of three computers, two front-end +computers and one computer serving both as a front-end and as a back-end +processor. The slow circuit consisted of one computer. All computers were +running Linux operating system and connected into a private subnetwork. + +%\hl{TODO: storage and shift monitor} + +\begin{figure}[htb] + \centering + \includegraphics[width=0.95\textwidth]{figs/alcapdaq_pcs} + \caption{AlCapDAQ in the Run 2013. The {\ttfamily fe6} front-end is + a VME single board computer belongs to the MuSun group, reads out the + upstream detectors.} + \label{fig:alcapdaq_pcs} +\end{figure} + +The data were collected as dead-time-free time segments of 110~ms, called +``block'', followed by about 10-ms-long time intervals used to complete data +readout and synchronize the DAQ. Such data collection approach was chosen to +maximize the data readout efficiency. During each 110-ms-long period, signals +from each detector were digitized independently by threshold crossing. The data +segment of each detector data were first written into on-board memories of +front-end electronics and either read out in a loop (CAEN TDCs and CAEN +digitizers) or streamed (FADCs) into the computer memories. The thresholds were +adjusted as low as possible and individually for each detector. The time +correlation between detectors would be established in the analysis stage. + +At the beginning of each block, the time counter in each digitiser is reset to +ensure time alignment across all modules. The period of 110~ms was chosen to be: +{\em i} long enough compares to the time scale of several \micro\second\ of the +physics of interest, {\em ii} short enough so that there is no timer rollover +on any digitiser (a FADC runs at its maximum speed of 170~\mega\hertz\ could +handle up to about 1.5 \second\ with its 28-bit time counter). + +To ease the task of handling data, the data collecting period was divided into +short runs, each run stopped when the logger had recorded 2 GB of data. +The data size effectively made each run last for about 5 minutes. The DAQ +automatically starts a new run with the same parameters after about 6 seconds. +The short period of each run also allows the detection, and helps to reduce the +influence of effects such as electronics drifting, temperature fluctuation. + +\section{Data sets and statistics} +\label{sec:data_sets} + +The main goal of this Run 2013 was to measure the rates and energy spectra of +protons following muon capture on aluminium. Also for normalisation and cross +checking against the existing experimental data, two types of measurements with +different targets were carried out for silicon targets: +\begin{itemize} + \item[(a)] an active, thick target similar to the set up + used by Sobottka and Wills~\cite{SobottkaWills.1968}. This provides + a cross-check against the existing experimental data. The silicon detector + package at the right hand side was moved to the target position with the + thick detector facing the muon beam in this set up. + \item[(b)] a passive, thin target and heavy charged particles were observed + by the two silicon packages. The measurement serves multiple purposes: + confirmation that the particle identification by dE/dx actually works, + separation of components of heavy charged particles emitted from the + silicon target. +\end{itemize} + +As the emitted protons deposit a significant amount of energy in the target +material, thin targets and thus excellent momentum resolution of the low energy +muon beam are critical. Aluminium targets of 50-\micro\meter\ and +100~\micron\ thick were used. Although a beam with low momentum spread of +1\% is preferable, it was used for only a small portion of the run due to the +low beam rate (see Figure~\ref{fig:Rates}). The beam momentum for each target +was chosen to maximise the number of stopped muons. The collected data sets are +shown in Table~\ref{tb:stat}. + +\begin{table}[htb!] + \begin{center} + \vspace{0.15cm} + \begin{tabular}{l c c c} + \toprule + \textbf{Target} &\textbf{Momentum} & \textbf{Run time} & \textbf{Number}\\ + \textbf{and thickness}&\textbf{scaling factor} & \textbf{(h)} &\textbf{of muons}\\ + \midrule + Si 1500 \micro\meter& 1.32& 3.07& $2.78\times 10^7$\\ + & 1.30& 12.04& $2.89 \times 10^8$\\ + & 1.10& 9.36& $1.37 \times 10^8$ \\ + \midrule + Si 62 \micro\meter & 1.06& 10.29& $1.72 \times 10^8$\\ + \midrule + Al 100 \micro\meter& 1.09& 14.37&$2.94 \times 10^8$\\ + & 1.07& 2.56& $4.99 \times 10^7$\\ + \midrule + Al 50 \micro\meter m & 1.07& 51.94& $8.81 \times 10^8$\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Run statistics. Momentum scaling + normalized to 28 MeV/c.} + \label{tb:stat} +\end{table} + +% section data_sets (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Analysis framework} +\subsection{Concept} +\label{sub:concept} +Since the AlCapDAQ is a trigger-less system, it stored all waveforms of the +hits occured in 100-ms-long blocks without considering their physics +significance The analysis code therefore must be able to extract parameters of +the waveforms, then organises the pulses into physics events correlated to +stopped muons (Figure~\ref{fig:muon_event}). In addition, the analyser is +intended to be usable as a real-time component of a MIDAS DAQ, where simple +analysis could be done online for monitoring and diagnostic during the run. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.9\textwidth]{figs/muon_event.pdf} + \caption{Concept of the AlCap analysis code: pulses from individual detector + in blocks of time are analysed, then sorted centred around stopped muons.} + \label{fig:muon_event} +\end{figure} + +The analysis framework of the AlCap consists of two separate programs. +A MIDAS-based analyser framework, \alcapana{}, processes the raw data and +passes its ROOT data output to a second +stage, \rootana{}, where most of the physics analysis is performed. +Both programs were designed to be modularised, which allowed us to develop +lightweight analysis modules that were used online to generate plots quickly, +while more sophisticated modules can be applied in offline analysis. + +The DAQ system generated MIDAS files which stores the data as a stream of MIDAS +``banks''. In the AlCapDAQ, each bank corresponds to a single channel on +a digitizer and was named according to a predefined convention. The map between +detector channels and MIDAS bank names was stored in the MIDAS online database +(ODB), along with other settings such as sampling frequencies, timing offsets, +thresholds and calibration coefficients of each channel. +%These can then be +%accessed by both \alcapana{} and \rootana{} for either online or offline +%analysis. + +The first step +of the analysis framework is to convert the raw MIDAS data into waveforms, +series of digitised samples continuous in time corresponding to pulses from the +detector. The waveform is called \tpulseisland{}s, which contain the bank name, +the ADC values of the samples and the time stamp of the first sample. This +conversion is performed in \alcapana{} and the resulting objects are stored in +a ROOT output file as a {\ttfamily TTree}. + +The next step of the analysis is to obtain summary parameters of the pulses +from the digitized samples. The parameters of primary interest are the +amplitude and time of the peak and the integral of the pulse. This extraction +of parameters is done by a \rootana{} module, and the objects produced by this +stage are called \tanalysedpulse{}s. Currently, we have a usable and simple +algorithm that takes the pulse parameters from the peak of the waveform. In +parallel, a pulse finding and template fitting code is being developed because +it would provide more accurate pulse information. The first iteration of this +code has been completed and is being tested. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/analysis_scheme} + \caption{Concept of the analysis framework in \rootana{}} + \label{fig:rootana_scheme} +\end{figure} + +After obtaining pulse parameters for individual channel, the pairing up of +fast and slow pulses from the same physical detector needs to be done. This +entails looping through all fast and slow pulses from each detector, +checking for correlated pulses in time and amplitude, creating +{\ttfamily TDetectorPulse}s. The {\ttfamily TDetectorPulse}s allow better +understanding of the hits on the detector by combining timing information from +the fast channel and amplitude information from the slow channel. It also helps +reduce the impact of pile-up on the amplitude measurement, where the +improved time resolution of the fast channels can be used to separate the +overlapping amplitudes in the slow channels. The pulse pairing are applicable to +the silicon and germanium channels only. The scintillator channels provide only +fast timing signals which can be used as {\ttfamily TDetectorPulse}s directly. + +The detector pulses are subsequently used to identify particles that hit the +detectors. These particle hits are still stored in the time-ordered tree +corresponds to the 110 ms block length from the AlCapDAQ. By iterating through +the tree to find stopped muons and taking any hits within a certain window +around this muon from every detector, a stopped-muon-centred tree shown in +Figure~\ref{fig:muon_event} can be produced. This will make it much easier to +look for coincidences and apply cuts, thereby bringing the end +goal of particle numbers and energy distributions. + +% subsection concept (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Online analyser} +\label{sub:online_analyser} +The online analyser was developed and proved to be very useful during the run. +A few basic modules were used to produce plots for diagnostic purposes +including: persistency view of waveforms, pulse height +spectra, timing correlations with respect to the upstream counters. The +modules and their purposes are listed in Table~\ref{tab:online_modules}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{l p{6cm}} + \toprule + \textbf{Module name} & \textbf{Functions}\\ + \midrule + common/MUnCompressRawData & decompress raw MIDAS data\\ + \midrule + FADC/MOctalFADCProcessRaw & \multirow{3}{6cm}{convert raw data to + {\ttfamily TPulseIsland}s}\\ v1724/MV1724ProcessRaw& \\ + dt5720/MDT5720ProcessRaw&\\ + \midrule + muSC\_muPC/MCaenCompProcessRaw& \multirow{4}{6cm}{decompress data from + {\ttfamily fe6}, make coincidence in upstream counters} \\ + muSC\_muPC/MMuPC1AnalysisC&\\ + muSC\_muPC/MMuPC1AnalysisMQL&\\ + muSC\_muPC/MMuSCAnalysisMQL&\\ + \midrule + diagnostics/MCommonOnlineDisplayPlots& produce plots of interest\\ + \midrule + FADC/MOctalFADCBufferOverflow& \multirow{2}{6cm}{diagnostics for FADCs}\\ + FADC/MOctalFADCPacketLoss&\\ + \midrule + common/MExpectedIslands&\multirow{4}{6cm}{diagnostics in general}\\ + common/MMuSCTimeDifferences&\\ + common/MNumberIslands&\\ + common/MPulseLengths&\\ + \midrule + common/MTreeOutput& save {\ttfamily TPulseIsland}s tree\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Online analysis modules in the Run 2013.} + \label{tab:online_modules} +\end{table} + +The \alcapana{} served the plots on port 9090 of the {\ttfamily abner} +via the ROOT socket protocol. We then used a ROOT-based program called +{\ttfamily online-display} to display the plots on the shift terminal +({\ttfamily alcap}). The {\ttfamily online-display} simply executed ROOT macros +which retrieved plots from the ROOT server, sorted then drew them in +groups such as upstream counters, silicon arms. It could also periodically +update the plots to reflect real-time status of the detector system. +%Screen +%shots of the {\ttfamily online-display} with several plots are shown in +%Figure~\ref{fig:online_display}. + +%\hl{Screen shots} +\subsection{Offline analyser} +\label{sub:offline_analyser} +Some offline analysis modules has been developed during the beam time and could +provide quick feedback in confirming and guiding the decisions at the time. For +example, the X-ray spectrum analysis was done to confirm that we could observe +the muon capture process (Figure~\ref{fig:muX}), and to help in choosing optimal +momenta which maximised the number of stopped muons. +\begin{figure}[htbp] + \centering + \includegraphics[width=0.7\textwidth]{figs/muX.png} + \caption{Germanium + detector spectra in the range of 300 - 450 keV with different setups: no + target, 62-\micron-thick silicon target, and 100-\micron-thick aluminium + target. The ($2p-1s$) lines from + aluminium (346.828 keV) and silicon (400.177 keV) are clearly visible, + the double peaks at 431 and 438 keV are from the lead shield, the peak at + 351~keV is a background gamma ray from $^{211}$Bi.} + \label{fig:muX} +\end{figure} + +Although the offline analyser is still not fully developed yet, several modules +are ready. They are described in detailed in the next chapter. +% subsection offline_analyser (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section analysis_strategy (end) + + +% chapter the_alcap_run_2013 (end) + diff --git a/thesis2/chapters/chap6_analysis.tex b/thesis2/chapters/chap6_analysis.tex new file mode 100644 index 0000000..3c82d1f --- /dev/null +++ b/thesis2/chapters/chap6_analysis.tex @@ -0,0 +1,1233 @@ +\chapter{Data analysis} +\label{cha:data_analysis} + +\section{Analysis modules} +\label{sec:analysis_modules} +A full offline analysis has not been completed yet, but initial analysis +based on the existing modules (Table~\ref{tab:offline_modules}) is possible +thanks to the modularity of the analysis framework. + +\begin{table}[htb] + \begin{center} + \begin{tabular}{l p{8cm}} + \toprule + \textbf{Module name} & \textbf{Functions}\\ + \midrule + MakeAnalysedPulses & make a pulse with parameters extracted from + a waveform\\ + MaxBinAPGenerator & simplest algorithm to get pulse information\\ + TSimpleMuonEvent & sort pulses occur in a fixed time window around the + muon hits\\ + ExportPulse \& PulseViewer & plot waveforms for diagnostics\\ + PlotAmplitude & plot pulse height spectra\\ + PlotAmpVsTdiff & plot pulse correlations in timing and amplitude\\ + EvdE & identify charged particles using dE/dx\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Available offline analysis modules.} + \label{tab:offline_modules} +\end{table} + +The MakeAnalysedPulses module takes a raw waveform, calculates the pedestal +from a predefined number of first samples, subtracts this pedestal, takes +pulse polarity into account, then calls another module to extract pulse +parameters. At the moment, the simplest module, so-called MaxBinAPGenerator, +for pulse information calculation is in use. The module looks for the +sample that +has the maximal deviation from the baseline, takes the deviation as pulse +amplitude and the time stamp of the sample as pulse time. The procedure is +illustrated on Figure~\ref{fig:tap_maxbin_algo}. This module could not detect +pile up or double pulses in one \tpulseisland{} in +Figure~\ref{fig:tap_maxbin_bad}. +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/tap_maxbin_algo} + \caption{Pulse parameters extraction with MaxBinAPGenerator.} + \label{fig:tap_maxbin_algo} +\end{figure} +\begin{figure}[htb] + \centering + \includegraphics[width=0.47\textwidth]{figs/tap_maxbin_bad} + \includegraphics[width=0.47\textwidth]{figs/tap_maxbin_bad2} + \caption{Double pulse and pile up are taken as one single pulse by the + MaxBinAPGenerator} + \label{fig:tap_maxbin_bad} +\end{figure} + +The TSimpleMuonEvent first picks a muon candidate, then loops through all +pulses on all detector channels, and picks all pulses occur in +a time window of $\pm 10$~\micro\second\ around each candidate to build a muon +event. A muon candidates is a hit on the upstream plastic scintillator with +an amplitude higher than a threshold which was chosen to reject minimum ionising +particles (MIPs). The +10~\micro\second\ is long enough compares to the mean life time of muons in the +target materials (0.758~\micro\second\ for silicon, and 0.864~\micro\second\ for +aluminium~\cite{SuzukiMeasday.etal.1987}) so practically all of emitted charged +particles would be recorded in this time window. +%\begin{figure}[htb] + %\centering + %\includegraphics[width=0.85\textwidth]{figs/tme_musc_threshold} + %\caption{Pulse height spectrum of the $\mu$Sc scintillator} + %\label{fig:tme_musc_threshold} +%\end{figure} + +A pile-up protection mechanism is employed to reject multiple muons events: if +there exists another muon hit in less than 15~\micro\second\ from the candidate +then both the candidate and the other muon are discarded. This pile-up +protection would cut out less than 11\% total number of events because the beam +rate was generally less than 8~\kilo\hertz. + +%In runs with active silicon targets, another requirement is applied for the +%candidate: a prompt hit on the target in $\pm 200$ \nano\second\ around the +%time of the $\mu$Sc pulse. The number comes from the observation of the +%time correlation between hits on the target and the $\mu$Sc +%(Figure~\ref{fig:tme_sir_prompt_rational}). +%\begin{figure}[htb] + %\centering + %\includegraphics[width=0.85\textwidth]{figs/tme_sir_prompt_rational} + %\caption{Correlation in time between SiR2 hit and muon hit} + %\label{fig:tme_sir_prompt_rational} +%\end{figure} + +To make sure that we will analyse good data, a low level data quality checking +was done on the whole data sets. The idea is plotting the variations of basic +parameters, such as noise level, length of \tpulseisland{}, \tpulseisland{} +rate, time correlation to hits on $\mu$Sc, \ldots on each channel during the +data collecting period. Runs with significant difference from the nominal +values were further checked for possible causes, and would be discarded if such +discrepancy was too large or unaccounted for. Examples of such trend plots are +shown in Figure~\ref{fig:lldq}. +\begin{figure}[htb] + \centering + \includegraphics[width=0.47\textwidth]{figs/lldq_noise} + \includegraphics[width=0.47\textwidth]{figs/lldq_tdiff} + \caption{Example trend plots used in the low level data quality checking: + noise level in FWHM (left) and time correlation with muon hits (right). The + noise level was basically stable in in this data set, except for one + channel. On the right hand side, this sanity check helped find out the + sampling frequency was wrongly applied in the first tranche of the data + set.} + \label{fig:lldq} +\end{figure} +% section analysis_modules (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Detector calibration} +\label{sec:detector_calibration} + +\subsection{Silicon detector} +\label{sub:silicon_detector} +The energy calibration for the silicon detectors were done routinely during the +run, mainly by an +$^{241}\textrm{Am}$ alpha source and a tail pulse generator. The source emits +79.5 $\alpha\per\second$ in a 2$\pi$~\steradian~solid angle. The most +prominent alpha particles have energies of 5.484~\mega\electronvolt\ +(85.2\%) and 5.442~\mega\electronvolt\ (12.5\%). A tail pulse with amplitude of +66 \milli\volt~was used to simulate the response of the silicon detectors' +preamplifiers to a particle with 1\mega\electronvolt~energy deposition. + +During data taking period, electrons in the beam were were also used for energy +calibration of thick silicon detectors where energy deposition is large enough. +The muons at different momenta provided another mean of calibration in the beam +tuning period. +%Typical pulse height spectra of the silicon detectors are shown +%in Figure~\ref{fig:si_eg_spectra}. + +According to Micron Semiconductor +\footnote{\url{http://www.micronsemiconductor.co.uk/}}, the +manufacturer of the silicon detectors, the nominal thickness of the dead layer on +each side is 0.5~\micron. The alpha particles from the source would deposit +about 66~keV in this layer, and the peak would appear at 5418~keV +(Figure~\ref{fig:toyMC_alpha}). +\begin{figure}[htb] + \centering + \includegraphics[width=0.6\textwidth]{figs/toyMC_alpha} + \caption{Energy loss of the alpha particles after a dead layer of + 0.5~\micron.} + \label{fig:toyMC_alpha} +\end{figure} + +The calibration coefficients for the silicon channels are listed in +Table~\ref{tab:cal_coeff}. +\begin{table}[htb] + \begin{center} + \begin{tabular}{l c r} + \toprule + \textbf{Detector} & \textbf{Slope} & \textbf{Offset}\\ + \midrule + SiL-2 & 7.86 & 14.14\\ + SiR-2 & 7.96 & 22.98\\ + \midrule + SiL1-1 & 2.61 & 37.34\\ + SiL1-2 & 2.54 & -20.78\\ + SiL1-3 & 2.65 & 67.75\\ + SiL1-4 & 2.54 & -18.45\\ + \midrule + SiR1-1 & 2.53 & 28.69\\ + SiR1-2 & 2.62 & 47.10\\ + SiR1-3 & 2.49 & 6.32\\ + SiR1-4 & 2.53 & 34.81\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Calibration coefficients of the silicon detector channels} + \label{tab:cal_coeff} +\end{table} +% subsection silicon_detector (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\subsection{Germanium detector} +\label{sub:germanium_detector} +The germanium detector was calibrated using a $^{152}\textrm{Eu}$ +source\footnote{Energies and intensities of gamma rays are taken from the + X-ray and Gamma-ray Decay Data Standards for Detector Calibration and Other + Applications, which is published by IAEA at \\ + \url{https://www-nds.iaea.org/xgamma_standards/}}, the +recorded pulse height spectrum is shown in Figure~\ref{fig:ge_eu152_spec}. The +source was placed at the target position so that the absolute efficiencies can +be calibrated. The relation between pulse height in ADC count and energy is +found to be: +\begin{equation} + \textrm{ E [keV]} = 0.1219 \times \textrm{ADC} + 1.1621 +\end{equation} +The energy resolution (full width at half maximum) was better than +2.6~\kilo\electronvolt\ for all the $^{152}\textrm{Eu}$ peaks. It was a little +worse at 3.1~\kilo\electronvolt~for the annihilation photons at +511.0~\kilo\electronvolt. + +The absolute efficiencies for the $(2p-1s)$ lines of aluminium +(346.828~\kilo\electronvolt) and silicon (400.177~\kilo\electronvolt) are +presented in Table~\ref{tab:xray_eff}. In the process of efficiency calibration, +corrections for true coincidence summing and self-absorption were not applied. +The true coincidence summing probability is estimated to be very +small, about \sn{5.4}{-6}, thanks to the far geometry of the calibration. The +absorption in the source cover made of 22~\milli\gram\per\centi\meter$^2$ +polyethylene is less than \sn{4}{-4} for a 100~\kilo\electronvolt\ photon. + +\begin{table}[htb] + \begin{center} + \begin{tabular}{c c c} + \toprule + \textbf{X-ray} & \textbf{Efficiency} & \textbf{Uncertainty}\\ + \midrule + 346.828 & $5.12 \times 10^{-4}$ & $0.14\times 10^{-4}$\\ + 400.177 & $4.54 \times 10^{-4}$ & $0.11\times 10^{-4}$\\ + \bottomrule + \end{tabular} + \end{center} + \caption{Calculated efficiencies at X-rays of interest} + \label{tab:xray_eff} +\end{table} + +\begin{figure}[htb] + \centering + \includegraphics[width=0.70\textwidth]{figs/ge_eu152_spec} + \caption{Energy spectrum of the $\rm^{152}\textrm{Eu}$ calibration source + recorded by the germanium detector. The most prominent peaks of + $^{152}\textrm{Eu}$ along with their energies are + annotated in red; the 1460.82 \kilo\electronvolt~line is background from + $^{40}\textrm{K}$; and the annihilation 511.0~\kilo\electronvolt~photons + come both from the source and the surrounding environment.} + \label{fig:ge_eu152_spec} +\end{figure} + +\begin{figure}[htb] + \centering + \includegraphics[width=0.89\textwidth]{figs/ge_ecal_fwhm} + \caption{Germanium energy calibration and resolution.} + \label{fig:ge_fwhm} +\end{figure} + +\begin{figure}[htb] + \centering + \includegraphics[width=0.80\textwidth]{figs/ge_ecal_eff} + \caption{Absolute efficiency of the germanium detector, the fit was done with + 7 energy points from 244~keV because it is known that the linearity between + $ln(\textrm{E})$ and $ln(\textrm{eff})$ holds better. The shaded area is + 95\% confidence interval of the fit.} + \label{fig:ge_eff} +\end{figure} + +% subsection germanium_detector (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%\subsection{Beam tuning and muon momentum scanning} +%\label{sub:muon_momentum_scanning} +%Before taking any data, we carried out the muon momentum scanning to understand +%the muon beam, as well as calibrate the detector system. The nominal muon +%momentum used in the Run 2013 had been tuned to 28~MeV\cc\ before the run. By +%changing simultaneously the strength of the key magnet elements in the $\pi$E1 +%beam line with the same factor, the muon beam momentum would be scaled with the +%same factor. + +%The first study was on the range of muons in an active silicon target. The SiL2 +%detector was placed perpendicular to the nominal beam path, after an oval +%collimator. The beam momentum scaling factor was scanned from 1.10 to 1.60, +%muon momenta and energies in the measured points are listed in +%Table~\ref{tab:mu_scales}. +%\begin{table}[htbp] + %\begin{center} + %\begin{tabular}{c c c c} + %\toprule + %\textbf{Scaling} & \textbf{Momentum} & \textbf{Kinetic energy} + %& \textbf{Momentum spread}\\ + %\textbf{factor} & \textbf{(MeV\per\cc)} & \textbf{(MeV)} + %& \textbf{(MeV\per\cc, 3\% FWHM)}\\ + %\midrule + %1.03 & 28.84 & 3.87& 0.87\\ + %1.05 & 29.40 & 4.01& 0.88\\ + %1.06 & 29.68 & 4.09& 0.89\\ + %1.07 & 29.96 & 4.17& 0.90\\ + %1.10 & 30.80 & 4.40& 0.92\\ + %1.15 & 32.20 & 4.80& 0.97\\ + %1.20 & 33.60 & 5.21& 1.01\\ + %1.30 & 36.40 & 6.09& 1.09\\ + %1.40 & 39.20 & 7.04& 1.18\\ + %1.43 & 40.04 & 7.33& 1.20\\ + %1.45 & 40.60 & 7.53& 1.22\\ + %1.47 & 41.16 & 7.73& 1.23\\ + %1.50 & 42.00 & 8.04& 1.26\\ + %\bottomrule + %\end{tabular} + %\end{center} + %\caption{Muon beam scaling factors, energies and momenta.} + %\label{tab:mu_scales} +%\end{table} + +% subsection muon_momentum_scanning (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% section detector_calibration (end) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Charged particles following muon capture on a thick silicon target} +\label{sec:charged_particles_from_muon_capture_on_silicon_thick_silicon} +This analysis was done on a subset of the active target runs 2119 -- 2140 +because of the problem of wrong clock frequency found in the data quality +checking shown in Figure~\ref{fig:lldq}. The data set contains \sn{6.43}{7} +muon events. +%64293720 + +Firstly, the number of charged particles emitted after nuclear muon capture on +the active target is calculated. This number then is normalised to the number +of nuclear muon capture to obtain an emission rate. Finally, the rate is +compared with that from the literature. + +\subsection{Event selection} +\label{sub:event_selection} +Because of the active target, a stopped muon would cause two coincident hits on +the muon counter and the target. The energy of the muon hit on the active +target is also well-defined as a narrow momentum spread beam was used. The +correlation between the energy and timing of all the hits on the active target +is shown in Figure~\ref{fig:sir2f_Et_corr}. The most intense spot at zero time +and about 5 MeV energy corresponds to stopped muons in the thick target. The +band below 1 MeV is due to electrons, either in the beam or from muon decay in +orbits, or emitted during the cascading of muon to the muonic 1S state. The +valley between time zero and 1200~ns shows the minimum distance in time between +two pulses. It is the limitation of the current pulse parameter extraction +method where no pile up or double pulses is accounted for. + +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/sir2_sir2f_E_t_corr} + \caption{Energy - timing correlation of hits on the active target.} + \label{fig:sir2f_Et_corr} +\end{figure} + +The hits on the silicon active target after 1200~ns are mainly secondary +particles from the stopped muons: +\begin{itemize} + \item electrons from muon decay in the 1S orbit + \item products emitted after nuclear muon capture, including: gamma, neutron, + heavy charged particles and recoiled nucleus +\end{itemize} +It can be seen that there is a faint stripe of muons in the time larger than +1200~ns region, they are scattered muons by other materials without hitting the +muon counter. The electrons in the beam caused the constant band below 1 MeV and +$t > 5000$ ns (see Figure~\ref{fig:sir2_1us_slices}). +\begin{figure}[htb] + \centering + \includegraphics[width=0.85\textwidth]{figs/sir2_sir2f_amp_1us_slices} + \caption{Energy deposit on the active target in 1000 ns time slices from the + muon hit. The peaks at about 800 keV in large delayed time are from + the beam electrons.} + \label{fig:sir2_1us_slices} +\end{figure} + +From the energy-timing correlation above, the cuts to select stopped muons are: +\begin{enumerate} + \item has one hit on muon counter (where a threshold was set to reject MIPs), + and the first hit on the silicon active target is in coincidence with that + muon counter hit: + \begin{equation} + \lvert t_{\textrm{target}} - t_{\mu\textrm{ counter}}\rvert<50\textrm{ ns} + \label{eqn:sir2_prompt_cut} + \end{equation} + \item the first hit on the target has energy of that of the muons: + \begin{equation} + 3.4 \textrm{ MeV}EP:q1$o*=mro@So+\<\5,H7Uo<*jE<[.O@Wn[3@'nb-^757;Rp>H>q_R=Al + C^cenm@9:1mM9jS"!dTMT<$3[GQ$8#0$s<4ZX!SPQ1`C/m[X2Soh/Bf.DHAorf'R[o?>ioWjnAY&^gM+`4=1jRLW!YA=M/6)*KS9PE`kN%<\J0 + pjg/+&k'&t\ctIN)4XQLiVpoI(>.nOW?*DmsG$@,,f58"PDIFEBf(XU-i,EpG4sq/+a5h8d + >eXi0S^6MAH1IXb_>k + P+oS^^pnX!PjdJ%0OEQoB-7mODGpB_@VYP$,Ve*/ITH-bV]jIOR,*E6#c`j&]Be_9bYJX9N + 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sub {pop} repeat +countdictstack dict_count sub {end} repeat +cairo_eps_state restore +%%EOF diff --git a/thesis2/figs/susy_contr.png b/thesis2/figs/susy_contr.png new file mode 100644 index 0000000..32c3fde Binary files /dev/null and b/thesis2/figs/susy_contr.png differ diff --git a/thesis2/figs/tap_maxbin_algo.png b/thesis2/figs/tap_maxbin_algo.png new file mode 100644 index 0000000..08a301a Binary files /dev/null and b/thesis2/figs/tap_maxbin_algo.png differ diff --git a/thesis2/figs/tme_sir_prompt_rational.png b/thesis2/figs/tme_sir_prompt_rational.png new file mode 100644 index 0000000..c29fb92 Binary files /dev/null and b/thesis2/figs/tme_sir_prompt_rational.png differ diff --git a/thesis2/figs/wyttenbach_rate_1p.png b/thesis2/figs/wyttenbach_rate_1p.png new file mode 100644 index 0000000..e76cf22 Binary files /dev/null and b/thesis2/figs/wyttenbach_rate_1p.png differ diff --git a/thesis2/figs/wyttenbach_rate_23p.png b/thesis2/figs/wyttenbach_rate_23p.png new file mode 100644 index 0000000..2983eac Binary files /dev/null and b/thesis2/figs/wyttenbach_rate_23p.png differ diff --git a/thesis2/getNewBibtex b/thesis2/getNewBibtex new file mode 100755 index 0000000..ae2863b --- /dev/null +++ b/thesis2/getNewBibtex @@ -0,0 +1,16 @@ +#! /usr/bin/env bash + +if [[ -n $( echo $* | egrep -- "-h\>|--help\>" ) ]]; then + echo -e "Usage: $0 " + echo "NB. \\input and \\include operations will only work in" + echo "the current directory, rather than via the full TeX path." + exit 0 +fi + +maintexfile=$1 +tempfile=texmerge.$$ + +cat $maintexfile | sed -e s/'\\input{\([^}]*\)}'/'#include "\1\.tex"'/g > $tempfile +#cat $tempfile +cpp $tempfile 2> /dev/null | mail -s "generate bibtex" slaclib2@slac.stanford.edu +rm -f $tempfile diff --git a/thesis2/h-physrev.bst b/thesis2/h-physrev.bst new file mode 100644 index 0000000..3fb7104 --- /dev/null +++ b/thesis2/h-physrev.bst @@ -0,0 +1,1016 @@ +ENTRY +{ address +eprint +author +booktitle +chapter +collaboration +edition +editor +howpublished +institution +journal +key +month +note +number +organization +pages +publisher +school +series +title +type +volume +year +} +{} +{ label } +INTEGERS { output.state before.all mid.sentence after.sentence after.block } +FUNCTION {init.state.consts} +{ #0 'before.all := +#1 'mid.sentence := +#2 'after.sentence := +#3 'after.block := +} +STRINGS { s t } +FUNCTION {output.nonnull} +{ 's := +output.state mid.sentence = +{ ", " * write$ } +{ output.state after.block = +{ "," * write$ +newline$ +"\newblock " write$ +} +{ output.state before.all = +'write$ +{ add.period$ " " * write$ } +if$ +} +if$ +mid.sentence 'output.state := +} +if$ +s +} +FUNCTION {output} +{ duplicate$ empty$ +'pop$ +'output.nonnull +if$ +} +FUNCTION {output.check} +{ 't := +duplicate$ empty$ +{ pop$ "empty " t * " in " * cite$ * warning$ } +'output.nonnull +if$ +} +FUNCTION {output.bibitem} +{ newline$ +"\bibitem{" write$ +cite$ write$ +"}" write$ +newline$ +"" +before.all 'output.state := +} +FUNCTION {fin.entry} +{ add.period$ +write$ +newline$ +} +FUNCTION {new.block} +{ output.state before.all = +'skip$ +{ after.block 'output.state := } +if$ +} +FUNCTION {new.sentence} +{ skip$ +} +FUNCTION {not} +{ { #0 } +{ #1 } +if$ +} +FUNCTION {and} +{ 'skip$ +{ pop$ #0 } +if$ +} +FUNCTION {or} +{ { pop$ #1 } +'skip$ +if$ +} +FUNCTION {new.block.checka} +{ empty$ +'skip$ +'new.block +if$ +} +FUNCTION {new.block.checkb} +{ empty$ +swap$ empty$ +and +'skip$ +'new.block +if$ +} +FUNCTION {new.sentence.checka} +{ empty$ +'skip$ +'new.sentence +if$ +} +FUNCTION {new.sentence.checkb} +{ empty$ +swap$ empty$ +and +'skip$ +'new.sentence +if$ +} +FUNCTION {field.or.null} +{ duplicate$ empty$ +{ pop$ "" } +'skip$ +if$ +} +FUNCTION {emphasize} +{ duplicate$ empty$ +{ pop$ "" } +{ "{\em " swap$ * "}" * } +if$ +} +FUNCTION {embolden} +{ duplicate$ empty$ +{ pop$ "" } +{ "{\bf " swap$ * "}" * } +if$ +} +FUNCTION {paren} +{ duplicate$ empty$ +{ pop$ "" } +{ "(" swap$ * ")" * } +if$ +} +INTEGERS { nameptr namesleft numnames } +INTEGERS { etal } +FUNCTION {format.names} +{ 's := +#1 'nameptr := +s num.names$ 'numnames := +numnames #5 > +s numnames "{ll}" format.name$ "others" = numnames #1 > and +or 'etal := +etal +{ #1 #1 + 'namesleft := } +{ numnames 'namesleft := } +if$ +{ namesleft #0 > } +{ s nameptr "{f.~}{vv~}{ll}{, jj}" format.name$ 't := +nameptr #1 > +{ namesleft #1 > +{ ", " * t * } +{ nameptr #2 > +{ "," * } +'skip$ +if$ +t "others" = +etal or +{ " {\em et~al.}" * } +{ " and " * t * } +if$ +} +if$ +} +'t +if$ +nameptr #1 + 'nameptr := +namesleft #1 - 'namesleft := +} +while$ +} +FUNCTION {format.authors} +{ author empty$ +{ "" } +{ author format.names } +if$ +} +FUNCTION {format.editors} +{ editor empty$ +{ "" } +{ editor format.names +editor num.names$ #1 > +{ ", editors" * } +{ ", editor" * } +if$ +} +if$ +} +FUNCTION {format.edited} +{ editor empty$ +{ "" } +{ "edited by " editor format.names * } +if$ +} +FUNCTION {format.title} +{ title empty$ + { "" } + { title "t" change.case$ } + if$ +} +FUNCTION {n.dashify} +{ 't := +"" +{ t empty$ not } +{ t #1 #1 substring$ "-" = +{ t #1 #2 substring$ "--" = not +{ "--" * +t #2 global.max$ substring$ 't := +} +{ { t #1 #1 substring$ "-" = } +{ "-" * +t #2 global.max$ substring$ 't := +} +while$ +} +if$ +} +{ t #1 #1 substring$ * +t #2 global.max$ substring$ 't := +} +if$ +} +while$ +} +FUNCTION {first.page} +{ 't := +"" +{ t empty$ not t #1 #1 substring$ "-" = not and } +{ t #1 #1 substring$ * +t #2 global.max$ substring$ 't := +} +while$ +} +FUNCTION {format.date} +{ year empty$ +{ "" } +'year +if$ +} +FUNCTION {format.btitle} +{ title emphasize +} +FUNCTION {tie.or.space.connect} +{ duplicate$ text.length$ #3 < +{ "~" } +{ " " } +if$ +swap$ * * +} +FUNCTION {either.or.check} +{ empty$ +'pop$ +{ "can't use both " swap$ * " fields in " * cite$ * warning$ } +if$ +} +FUNCTION {format.bvolume} +{ volume empty$ +{ "" } +{ series empty$ +'skip$ +{ ", " series * } +if$ +" Vol." volume tie.or.space.connect * +"volume and number" number either.or.check +} +if$ +} +FUNCTION {format.number.series} +{ volume empty$ +{ number empty$ +{ series field.or.null } +{ series empty$ +{ "there's a number but no series in " cite$ * warning$ } +{ ", " series * } +if$ +" No. " number tie.or.space.connect * +} +if$ +} +{ "" } +if$ +} +FUNCTION {format.edition} +{ edition empty$ +{ "" } +{ output.state mid.sentence = +{ ", " edition "l" change.case$ * } +{ ", " edition "t" change.case$ * } +if$ +" ed." * +} +if$ +} +INTEGERS { multiresult } +FUNCTION {multi.page.check} +{ 't := +#0 'multiresult := +{ multiresult not +t empty$ not +and +} +{ t #1 #1 substring$ +duplicate$ "-" = +swap$ duplicate$ "," = +swap$ "+" = +or or +{ #1 'multiresult := } +{ t #2 global.max$ substring$ 't := } +if$ +} +while$ +multiresult +} +FUNCTION {format.pages} +{ pages empty$ +{ "" } +{ pages multi.page.check +{ "pp." pages n.dashify tie.or.space.connect } +{ "p." pages tie.or.space.connect } +if$ +} +if$ +} +FUNCTION {format.pages.a} +{ pages empty$ +{ "" } +{ "p." pages first.page tie.or.space.connect } +if$ +} +FUNCTION {format.vol.num.pages} +{ volume field.or.null embolden +" " swap$ * * +pages empty$ +'skip$ +{ duplicate$ empty$ +{ pop$ format.pages.a } +{ ", " * pages first.page * } +if$ +} +if$ +} +FUNCTION {format.chapter.pages} +{ chapter empty$ +'format.pages +{ type empty$ +{ "chap." } +{ type "l" change.case$ } +if$ +chapter tie.or.space.connect +pages empty$ +'skip$ +{ ", " * format.pages * } +if$ +} +if$ +} +FUNCTION {format.pub.addr.date} +{ publisher empty$ +{ "" "empty publisher in " cite$ * warning$ } +{ publisher +address empty$ +'skip$ +{ ", " * address * } +if$ +} +if$ +year empty$ +{ "empty year in " cite$ * warning$ } +{ ", " * year * } +if$ +paren " " swap$ * +} +FUNCTION {format.book.entry} +{ format.btitle +format.bvolume * +format.number.series * +format.edition * +format.pub.addr.date * +} +FUNCTION {format.inbook.entry} +{ format.book.entry +", " * +format.chapter.pages * +} +FUNCTION {format.in.ed.booktitle} +{ booktitle empty$ +{ "" } +{ editor empty$ +{ "in " booktitle emphasize * } +{ "in " booktitle emphasize * ", " * format.edited * } +if$ +} +if$ +} +FUNCTION {empty.misc.check} +{ author empty$ title empty$ howpublished empty$ +month empty$ year empty$ note empty$ +and and and and and +{ "all relevant fields are empty in " cite$ * warning$ } +'skip$ +if$ +} +FUNCTION {format.thesis.type} +{ type empty$ +'skip$ +{ pop$ +type "t" change.case$ +} +if$ +} +FUNCTION {format.inst.tr.num.date} +{ institution empty$ + { "" "empty institution in " cite$ * warning$ } + { institution } + if$ + " Report No." * + number empty$ + { "" } + { number tie.or.space.connect } + if$ + year empty$ + { "empty year in " cite$ * warning$ } + { ", " * year * " (unpublished)" * } + if$ +} + +FUNCTION {format.inst.tr.num.prop} +{ institution empty$ + { "" "empty institution in " cite$ * warning$ } + { institution } + if$ + + type empty$ + {" Report"} + {" " * type *} + if$ + + number empty$ + { "" } + { number tie.or.space.connect embolden} + if$ +} + +FUNCTION {format.inst.tr.num} +{ institution empty$ + { "" "empty institution in " cite$ * warning$ } + { institution } + if$ + + type empty$ + {" Report"} + {" " * type *} + if$ + + number empty$ + { "" } + { number tie.or.space.connect embolden} + if$ +} + +FUNCTION {format.inst.tr.num.year} +{ institution empty$ + { "" "empty institution in " cite$ * warning$ } + { institution } + if$ + + type empty$ + {" Report" *} + {" " * type *} + if$ + + number empty$ + { "" tie.or.space.connect embolden} + { number tie.or.space.connect embolden} + if$ + + year empty$ + {"" "empty year in " cite$ * warning$ } + { " (" * year * ")" * } + if$ +} + +FUNCTION {format.inst.tr.title} +{ title empty$ + { "" } + { title emphasize "t" change.case$ } + if$ + +} + +FUNCTION {format.article.crossref} +{ key empty$ +{ journal empty$ +{ "need key or journal for " cite$ * " to crossref " * crossref * +warning$ +"" +} +{ "In " journal * } +if$ +} +{ "In " key * } +if$ +" \cite{" * crossref * "}" * +} +FUNCTION {format.crossref.editor} +{ editor #1 "{vv~}{ll}" format.name$ +editor num.names$ duplicate$ +#2 > +{ pop$ " {\em et~al.}" * } +{ #2 < +'skip$ +{ editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" = +{ " {\em et~al.}" * } +{ " and " * editor #2 "{vv~}{ll}" format.name$ * } +if$ +} +if$ +} +if$ +} +FUNCTION {format.book.crossref} +{ volume empty$ +{ "empty volume in " cite$ * "'s crossref of " * crossref * warning$ +"In " +} +{ "Volume" volume tie.or.space.connect +" of " * +} +if$ +editor empty$ +editor field.or.null author field.or.null = +or +{ key empty$ +{ series empty$ +{ "need editor, key, or series for " cite$ * " to crossref " * +crossref * warning$ +"" * +} +{ "{\em " * series * "\/}" * } +if$ +} +{ key * } +if$ +} +{ format.crossref.editor * } +if$ +" \cite{" * crossref * "}" * +} +FUNCTION {format.incoll.inproc.crossref} +{ editor empty$ +editor field.or.null author field.or.null = +or +{ key empty$ +{ booktitle empty$ +{ "need editor, key, or booktitle for " cite$ * " to crossref " * +crossref * warning$ +"" +} +{ "In {\em " booktitle * "\/}" * } +if$ +} +{ "In " key * } +if$ +} +{ "In " format.crossref.editor * } +if$ +" \cite{" * crossref * "}" * +} +FUNCTION {article} +{ output.bibitem +collaboration output +format.authors "author" output.check +new.block +crossref missing$ +{ journal field.or.null +format.vol.num.pages +format.date empty$ +'skip$ +{ duplicate$ empty$ +{ pop$ format.date paren } +{ " " * format.date paren * } +if$ +} +if$ +output +} +{ format.article.crossref output.nonnull +format.pages output +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {book} +{ output.bibitem +collaboration output +author empty$ +{ format.editors "author and editor" output.check } +{ format.authors output.nonnull +crossref missing$ +{ "author and editor" editor either.or.check } +'skip$ +if$ +} +if$ +new.block +crossref missing$ +{ format.book.entry output } +{ new.block +format.book.crossref output.nonnull +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {booklet} +{ output.bibitem +collaboration output +format.authors output +new.block +format.title "title" output.check +howpublished address new.block.checkb +howpublished output +address output +format.date output +eprint output +new.block +note output +fin.entry +} +FUNCTION {inbook} +{ output.bibitem +collaboration output +author empty$ +{ format.editors "author and editor" output.check } +{ format.authors output.nonnull +crossref missing$ +{ "author and editor" editor either.or.check } +'skip$ +if$ +} +if$ +new.block +crossref missing$ +{ format.inbook.entry output } +{ format.chapter.pages "chapter and pages" output.check +new.block +format.book.crossref output.nonnull +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {incollection} +{ output.bibitem +collaboration output +format.authors "author" output.check +new.block +format.title "title" output.check +new.block +crossref missing$ +{ format.in.ed.booktitle "booktitle" output.check +format.bvolume output +format.number.series output +format.chapter.pages output +new.sentence +publisher "publisher" output.check +address output +format.edition output +format.date "year" output.check +} +{ format.incoll.inproc.crossref output.nonnull +format.chapter.pages output +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {inproceedings} +{ output.bibitem +collaboration output +format.authors "author" output.check +new.block +format.title "title" output.check +new.block +crossref missing$ +{ format.in.ed.booktitle "booktitle" output.check +format.bvolume output +format.number.series output +format.pages output +address empty$ +{ organization publisher new.sentence.checkb +organization output +publisher output +format.date "year" output.check +} +{ address output.nonnull +format.date "year" output.check +new.sentence +organization output +publisher output +} +if$ +} +{ format.incoll.inproc.crossref output.nonnull +format.pages output +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {conference} { inproceedings } +FUNCTION {manual} +{ output.bibitem +collaboration output +author empty$ +{ organization empty$ +'skip$ +{ organization output.nonnull +address output +} +if$ +} +{ format.authors output.nonnull } +if$ +new.block +format.btitle "title" output.check +author empty$ +{ organization empty$ +{ address new.block.checka +address output +} +'skip$ +if$ +} +{ organization address new.block.checkb +organization output +address output +} +if$ +format.edition output +format.date output +eprint output +new.block +note output +fin.entry +} +FUNCTION {mastersthesis} +{ output.bibitem +format.authors "author" output.check +new.block +format.title "title" output.check +new.block +"Master's thesis" format.thesis.type output.nonnull +school "school" output.check +address output +format.date "year" output.check +eprint output +new.block +note output +fin.entry +} +FUNCTION {misc} +{ output.bibitem +collaboration output +format.authors output +title howpublished new.block.checkb +format.title output +howpublished new.block.checka +howpublished output +format.date output +eprint output +new.block +note output +fin.entry +empty.misc.check +} +FUNCTION {phdthesis} +{ output.bibitem +format.authors "author" output.check +new.block +format.btitle "title" output.check +new.block +"PhD thesis" format.thesis.type output.nonnull +school "school" output.check +address output +format.date "year" output.check +eprint output +new.block +note output +fin.entry +} +FUNCTION {proceedings} +{ output.bibitem +collaboration output +editor empty$ +{ organization output } +{ format.editors output.nonnull } +if$ +new.block +format.btitle "title" output.check +format.bvolume output +format.number.series output +address empty$ +{ editor empty$ +{ publisher new.sentence.checka } +{ organization publisher new.sentence.checkb +organization output +} +if$ +publisher output +format.date "year" output.check +} +{ address output.nonnull +format.date "year" output.check +new.sentence +editor empty$ +'skip$ +{ organization output } +if$ +publisher output +} +if$ +eprint output +new.block +note output +fin.entry +} +FUNCTION {techreport} +{ output.bibitem + collaboration output + format.authors "author" output.check + new.block + format.inst.tr.title "title" output.check + new.block + format.inst.tr.num.year output.nonnull + eprint output + new.block + note output + fin.entry +} +FUNCTION {unpublished} +{ output.bibitem +collaboration output +format.authors "author" output.check +new.block +format.title "title" output.check +new.block +note "note" output.check +format.date output +fin.entry +} +FUNCTION {default.type} { misc } +MACRO {jan} {"Jan."} +MACRO {feb} {"Feb."} +MACRO {mar} {"Mar."} +MACRO {apr} {"Apr."} +MACRO {may} {"May"} +MACRO {jun} {"June"} +MACRO {jul} {"July"} +MACRO {aug} {"Aug."} +MACRO {sep} {"Sept."} +MACRO {oct} {"Oct."} +MACRO {nov} {"Nov."} +MACRO {dec} {"Dec."} +MACRO {acmcs} {"ACM Comput. Surv."} +MACRO {acta} {"Acta Inf."} +MACRO {cacm} {"Commun. ACM"} +MACRO {ibmjrd} {"IBM J. Res. Dev."} +MACRO {ibmsj} {"IBM Syst.~J."} +MACRO {ieeese} {"IEEE Trans. Softw. Eng."} +MACRO {ieeetc} {"IEEE Trans. Comput."} +MACRO {ieeetcad} +{"IEEE Trans. Comput.-Aided Design Integrated Circuits"} +MACRO {ipl} {"Inf. Process. Lett."} +MACRO {jacm} {"J.~ACM"} +MACRO {jcss} {"J.~Comput. Syst. Sci."} +MACRO {scp} {"Sci. Comput. Programming"} +MACRO {sicomp} {"SIAM J. Comput."} +MACRO {tocs} {"ACM Trans. Comput. Syst."} +MACRO {tods} {"ACM Trans. Database Syst."} +MACRO {tog} {"ACM Trans. Gr."} +MACRO {toms} {"ACM Trans. Math. Softw."} +MACRO {toois} {"ACM Trans. Office Inf. Syst."} +MACRO {toplas} {"ACM Trans. Prog. Lang. Syst."} +MACRO {tcs} {"Theoretical Comput. Sci."} +MACRO {advp} {"Adv. Phys."} +MACRO {ajp} {"Am. J. Phys."} +MACRO {ao} {"Appl. Opt."} +MACRO {apj} {"Astrophys. J."} +MACRO {apl} {"Appl. Phys. Lett."} +MACRO {arnps} {"Ann. Rev. Nucl. Sci."} +MACRO {arns} {"Ann. Rev. Nucl. Part. Sci."} +MACRO {baps} {"Bull. Am. Phys. Soc."} +MACRO {cpc} {"Computer Phys. Comm."} +MACRO {cppcf} {"Comments Plasma Phys. Controlled Fusion"} +MACRO {fed} {"Fusion Eng. Design"} +MACRO {ft} {"Fusion Tech."} +MACRO {ieeens} {"IEEE Trans. Nucl. Sci."} +MACRO {ieeeps} {"IEEE Trans. Plasma Sci."} +MACRO {ijimw} {"Int. J. Infrared Millimeter Waves"} +MACRO {ip} {"Infrared Phys."} +MACRO {jap} {"J. Appl. Phys."} +MACRO {jcp} {"J. Comput. Phys."} +MACRO {jetp} {"Sov. Phys.-JETP"} +MACRO {jfe} {"J. Fusion Energy"} +MACRO {jfm} {"J. Fluid Mech."} +MACRO {jgr} {"J. Geophys. Res."} +MACRO {jmp} {"J. Math. Phys."} +MACRO {jne} {"J. Nucl. Energy"} +MACRO {jnm} {"J. Nucl. Mater."} +MACRO {josa} {"J. Opt. Soc. Am."} +MACRO {jpg} {"J. Phys.~G: Nucl. and Part. Phys."} +MACRO {jphys} {"J. Phys"} +MACRO {jpp} {"J. Plasma Phys."} +MACRO {jpsj} {"J. Phys. Soc. Jpn"} +MACRO {jvst} {"J. Vac. Sci. Technol."} +MACRO {modphyslettA} {"Mod. Phys. Lett. A"} +MACRO {nedf} {"Nucl. Eng. Design/Fusion"} +MACRO {nf} {"Nucl. Fusion"} +MACRO {nim} {"Nucl. Instrum. Methods"} +MACRO {np} {"Nucl. Phys."} +MACRO {npb} {"Nucl. Phys.~B"} +MACRO {npbps} {"Nucl. Phys. B (Proc. Suppl.)"} +MACRO {nt/f} {"Nucl. Tech./Fusion"} +MACRO {pf} {"Phys. Fluids"} +MACRO {pl} {"Phys. Lett."} +MACRO {plb} {"Phys. Lett.~B"} +MACRO {pnas} {"Proc. Nat. Acad. Sci. USA"} +MACRO {pp} {"Plasma Phys."} +MACRO {physrep} {"Phys. Rep."} +MACRO {physrev} {"Phys. Rev."} +MACRO {pr} {"Phys. Rev."} +MACRO {prd} {"Phys. Rev.~D"} +MACRO {prl} {"Phys. Rev. Lett."} +MACRO {procroysoc} {"Proc. Roy. Soc"} +MACRO {ps} {"Physica Scripta"} +MACRO {rmp} {"Rev. Mod. Phys."} +MACRO {rsi} {"Rev. Sci. Instrum."} +MACRO {sjnp} {"Sov. J. Nucl. Phys."} +MACRO {sjpp} {"Sov. J. Plasma Phys."} +MACRO {spd} {"Sov. Phys.-Dokl."} +MACRO {sptp} {"Sov. Phys.-Tech. Phys."} +MACRO {spu} {"Sov. Phys.-Usp."} +MACRO {zp} {"Z. Phys."} +MACRO {zpc} {"Z. Phys.~C"} +READ +STRINGS { longest.label } +INTEGERS { number.label longest.label.width } +FUNCTION {initialize.longest.label} +{ "" 'longest.label := +#1 'number.label := +#0 'longest.label.width := +} +FUNCTION {longest.label.pass} +{ number.label int.to.str$ 'label := +number.label #1 + 'number.label := +label width$ longest.label.width > +{ label 'longest.label := +label width$ 'longest.label.width := +} +'skip$ +if$ +} +EXECUTE {initialize.longest.label} +ITERATE {longest.label.pass} +FUNCTION {begin.bib} +{ preamble$ empty$ +'skip$ +{ preamble$ write$ newline$ } +if$ +"\begin{thebibliography}{" longest.label * "}" * write$ newline$ +} +EXECUTE {begin.bib} +EXECUTE {init.state.consts} +ITERATE {call.type$} +FUNCTION {end.bib} +{ newline$ +"\end{thebibliography}" write$ newline$ +} +EXECUTE {end.bib} diff --git a/thesis2/mythesis.sty b/thesis2/mythesis.sty new file mode 100644 index 0000000..9b9f834 --- /dev/null +++ b/thesis2/mythesis.sty @@ -0,0 +1,50 @@ +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mythesis} + +%% ------------------------------------- +%% Standard packages +%% ------------------------------------- +\RequirePackage[top=1in, bottom=1in, +%inner=1.25in, outer=1in]{geometry} +inner=1.25in, outer=1in, twoside]{geometry} +\RequirePackage{amsmath} + +\RequirePackage[% +colorlinks=true,% color links instead of using boxes +linkcolor=red,% color for internal (intra-document) links +citecolor=green,% color for bibliographic links +urlcolor=blue,% color for URL links +hyperfootnotes=false,% disable links to footnotes (because feature broken) +hyperindex,% make page numbers in index into hyperlinks +pdfstartview={FitH},% startup page view: fit width of page to window +bookmarks +]{hyperref} +\RequirePackage[all]{hypcap} + +\RequirePackage{booktabs} +\RequirePackage{cite} +%\RequirePackage{morefloats} +\RequirePackage{mathrsfs} % script font +\RequirePackage{afterpage} +%% Using Babel allows other languages to be used and mixed-in easily +\RequirePackage[ngerman,english]{babel} +\selectlanguage{english} +\RequirePackage[babel]{csquotes} + +\RequirePackage{subfig} +\RequirePackage{tikz} +\RequirePackage{fixltx2e} +\RequirePackage{setspace} +\RequirePackage{verbatim} +\RequirePackage{lipsum} +\RequirePackage[]{siunitx} +\RequirePackage{tabularx} +\RequirePackage{color} +\RequirePackage{pifont} +\RequirePackage{soul} +\RequirePackage[]{dcolumn} +\RequirePackage[]{sidecap} +\RequirePackage[]{wrapfig} +\RequirePackage{feynmp} +\RequirePackage[]{afterpage} +\RequirePackage[]{multirow} diff --git a/thesis2/thesis.bib b/thesis2/thesis.bib new file mode 100644 index 0000000..f4f825e --- /dev/null +++ b/thesis2/thesis.bib @@ -0,0 +1,2655 @@ +% This file was created with JabRef 2.10. +% Encoding: MacRoman + + +@Article{Ueberall.1974a, + Title = {Study of nuclear structure by muon capture}, + Author = {{\"U}berall, H}, + Year = {1974}, + Pages = {1--38}, + + Booktitle = {Nuclear Physics}, + Owner = {NT}, + Publisher = {Springer}, + Timestamp = {2014-05-03}, + Url = {http://link.springer.com/content/pdf/10.1007/BFb0041335.pdf} +} + +@Article{Aaij.etal.2013, + Title = {{Searches for violation of lepton flavour and baryon + number in tau lepton decays at LHCb}}, + Author = {Aaij, R and others}, + Journal = {Phys.Lett.}, + Year = {2013}, + Pages = {36-45}, + Volume = {B724}, + + Archiveprefix = {arXiv}, + Collaboration = {LHCb collaboration}, + Doi = {10.1016/j.physletb.2013.05.063}, + Eprint = {1304.4518}, + File = {Published version:refs/Aaij.etal.2013.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ex}, + Reportnumber = {LHCB-PAPER-2013-014, CERN-PH-EP-2013-062}, + Slaccitation = {%%CITATION = ARXIV:1304.4518;%%}, + Timestamp = {2014-04-01} +} + +@Article{AbadaDas.etal.2012, + Title = {{Enhancing lepton flavour violation in the supersymmetric + inverse seesaw beyond the dipole contribution}}, + Author = {Abada, Asmaa and Das, Debottam and Vicente, Avelino and + Weiland, Cedric}, + Journal = {JHEP}, + Year = {2012}, + Pages = {015}, + Volume = {1209}, + + Archiveprefix = {arXiv}, + Doi = {10.1007/JHEP09(2012)015}, + Eprint = {1206.6497}, + File = {Published version:refs/AbadaDas.etal.2012.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {LPT-ORSAY-12-36, LPT-12-36}, + Slaccitation = {%%CITATION = ARXIV:1206.6497;%%}, + Timestamp = {2014-04-01} +} + +@Article{Abrams.etal.2012, + Title = {{Mu2e Conceptual Design Report}}, + Author = {Abrams, R.J. and others}, + Year = {2012}, + + Archiveprefix = {arXiv}, + Collaboration = {Mu2e Collaboration}, + Eprint = {1211.7019}, + File = {arXiv v1:refs/Abrams.etal.2012-eprintv1.pdf:PDF}, + Owner = {nam}, + Primaryclass = {physics.ins-det}, + Reportnumber = {FERMILAB-TM-2545}, + Slaccitation = {%%CITATION = ARXIV:1211.7019;%%}, + Timestamp = {2014.02.10} +} + +@Article{Adam.etal.2013, + Title = {{New constraint on the existence of the $mu^+ \to e^+\gamma$ decay}}, + Author = {Adam, J. and others}, + Journal = {Phys.Rev.Lett.}, + Year = {2013}, + Number = {20}, + Pages = {201801}, + Volume = {110}, + + Archiveprefix = {arXiv}, + Collaboration = {MEG Collaboration}, + Doi = {10.1103/PhysRevLett.110.201801}, + Eprint = {1303.0754}, + File = {Published version:refs/Adam.etal.2013.pdf:PDF}, + Owner = {nam}, + Primaryclass = {hep-ex}, + Slaccitation = {%%CITATION = ARXIV:1303.0754;%%}, + Timestamp = {2014-03-31} +} + +@Article{Adye.2011, + Title = {{Unfolding algorithms and tests using RooUnfold}}, + Author = {{Adye}, T.}, + Journal = {ArXiv e-prints}, + Year = {2011}, + + Month = may, + + Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, + Adsurl = {http://adsabs.harvard.edu/abs/2011arXiv1105.1160A}, + Archiveprefix = {arXiv}, + Eprint = {1105.1160}, + File = {arXiv v1:refs/Adye.2011-eprintv1.pdf:PDF}, + Keywords = {Physics - Data Analysis, Statistics and Probability, High Energy Physics - Experiment}, + Owner = {NT}, + Primaryclass = {physics.data-an}, + Timestamp = {2014-04-09} +} + +@Article{AhmadAzuelos.etal.1988, + Title = {Search for muon-electron and muon-positron conversion}, + Author = {Ahmad, S and Azuelos, G and Blecher, M and Bryman, DA and Burnham, RA and Clifford, ETH and Depommier, P and Dixit, MS and Gotow, K and Hargrove, CK and others}, + Journal = {Physical Review D}, + Year = {1988}, + Number = {7}, + Pages = {2102}, + Volume = {38}, + + File = {Published version:refs/AhmadAzuelos.etal.1988.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-04-24}, + Url = {http://prd.aps.org/abstract/PRD/v38/i7/p2102_1} +} + +@Article{AhmadAzuelos.etal.1987, + Title = {Searches for muon-electron and muon-positron conversion in titanium}, + Author = {Ahmad, S and Azuelos, G and Blecher, M and Bryman, D and Burnham, RA and Clifford, ETH and Depommier, P and Dixit, MS and Gotow, K and Hargrove, CK and others}, + Journal = {Physical review letters}, + Year = {1987}, + Number = {9}, + Pages = {970}, + Volume = {59}, + + File = {Published version:refs/AhmadAzuelos.etal.1987.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-04-24}, + Url = {http://prl.aps.org/abstract/PRL/v59/i9/p970_1} +} + +@TechReport{COMET.2012, + Title = {Experimental Proposal for Phase-I of the COMET + Experiment at J-PARC}, + Author = {R. Akhmetshin and A. Bondar and L. Epshteyn and + G. Fedotovich and D. Grigoriev and V. Kazanin and A. Ryzhenenkov and + D. Shemyakin and Yu. Yudin and others}, + Year = {2012}, + Month = {7}, + Number = {KEK/J-PARC-PAC 2012-10}, + + Aainstitution = {J-PARC}, + Aatype = {Proposal}, + Collaboration = {The COMET Collaboration}, + File = {Published version:COMET.2012.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014-04-30}, + Url = {http://j-parc.jp/researcher/Hadron/en/pac_1207/pdf/E21_2012-10.pdf} +} + +@Article{AlonsoGavela.etal.2013, + Title = {{Neutrino and Charged Lepton Flavour Today}}, + Author = {Alonso, R. and Gavela, M.B. and Hernandez, D. and Merlo, L. and Rigolin, S.}, + Year = {2013}, + + Archiveprefix = {arXiv}, + Eprint = {1311.1724}, + File = {arXiv v2:refs/AlonsoGavela.etal.2013-eprintv2.pdf:PDF}, + Owner = {nam}, + Primaryclass = {hep-ph}, + Slaccitation = {%%CITATION = ARXIV:1311.1724;%%}, + Timestamp = {2014.02.10} +} + +@Article{AltmannshoferBuras.etal.2010a, + Title = {{Anatomy and Phenomenology of FCNC and CPV Effects in + SUSY Theories}}, + Author = {Altmannshofer, Wolfgang and Buras, Andrzej J. and Gori, + Stefania and Paradisi, Paride and Straub, David M.}, + Journal = {Nucl.Phys.}, + Year = {2010}, + Pages = {17-94}, + Volume = {B830}, + + Archiveprefix = {arXiv}, + Doi = {10.1016/j.nuclphysb.2009.12.019}, + Eprint = {0909.1333}, + File = {Published version:refs/AltmannshoferBuras.etal.2010a.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {TUM-HEP-727-09, MPP-2009-133}, + Slaccitation = {%%CITATION = ARXIV:0909.1333;%%}, + Timestamp = {2014-04-16} +} + +@Article{AltmannshoferHarnik.etal.2013, + Title = {{Low Energy Probes of PeV Scale Sfermions}}, + Author = {Altmannshofer, Wolfgang and Harnik, Roni and Zupan, Jure}, + Journal = {JHEP}, + Year = {2013}, + Pages = {202}, + Volume = {1311}, + + Archiveprefix = {arXiv}, + Doi = {10.1007/JHEP11(2013)202}, + Eprint = {1308.3653}, + File = {Published version:refs/AltmannshoferHarnik.etal.2013.pdf:PDF}, + Owner = {nam}, + Primaryclass = {hep-ph}, + Reportnumber = {FERMILAB-PUB-13-319-T}, + Slaccitation = {%%CITATION = ARXIV:1308.3653;%%}, + Timestamp = {2014.02.10} +} + +@Article{Amaro1997529, + Title = {Radiative pion capture in nuclei: a continuum shell-model approach }, + Author = {J.E Amaro and A.M Lallena and J Nieves}, + Journal = {Nuclear Physics A }, + Year = {1997}, + Number = {3Ð4}, + Pages = {529 - 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Bryman and R. Palmer and Y. Iwashita and M. + Aoki and Y. Arimoto and Md. I. Hossain and T. Itahashi and Y. Kuno and A. + Sato and M. Yoshida and Y. Takubo and Y. Igarashi and S. Ishimoto and T. + Ogitsu and M. Tomizawa and A. Yamamoto and K. Yoshimura and T. Numao}, + Institution = {J-PARC}, + Year = {2007}, + Month = {11}, + Number = {P21}, + Type = {Proposal}, + + Collaboration = {The COMET Collaboration}, + File = {Published version:refs/COMET.2007.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014-04-30}, + Url = {http://j-parc.jp/researcher/Hadron/en/pac_0801/pdf/Kuno.pdf} +} + +@Article{BudyashovZinov.etal.1971, + Title = {{Charged particles produced in capture of negative muons + by si-28, s-32, ca-40 and cu-64 nuclei}}, + Author = {Budyashov, Yu.G. and Zinov, V.G. and Konin, A.D. and + Mukhin, A.I. and Chatrchian, A.M.}, + Journal = {Sov.Phys.JETP}, + Year = {1971}, + Pages = {11}, + Volume = {33}, + + File = {Published version:refs/BudyashovZinov.etal.1971.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = SPHJA,33,11;%%}, + Timestamp = {2014-04-07}, + Url = {http://www.jetp.ac.ru/cgi-bin/e/index/e/33/1/p11?a=list} +} + +@Article{BurasDe.etal.2013, + Title = {{The Anatomy of Neutral Scalars with FCNCs in the Flavour Precision Era}}, + Author = {Buras, Andrzej J. and De Fazio, Fulvia and Girrbach, Jennifer and Knegjens, Robert and Nagai, Minoru}, + Journal = {JHEP}, + Year = {2013}, + Pages = {111}, + Volume = {1306}, + + Archiveprefix = {arXiv}, + Doi = {10.1007/JHEP06(2013)111}, + Eprint = {1303.3723}, + File = {Published version:refs/BurasDe.etal.2013.pdf:PDF}, + Owner = {nam}, + Primaryclass = {hep-ph}, + Reportnumber = {FLAVOUR(267104)-ERC-38, BARI-TH-13-671, NIKHEF-2013-008, UT-13-09}, + Slaccitation = {%%CITATION = ARXIV:1303.3723;%%}, + Timestamp = {2014.02.10} +} + +@Article{ChengLi.1977c, + Title = {{Muon Number Nonconservation Effects in a Gauge Theory + with V A Currents and Heavy Neutral Leptons}}, + Author = {Cheng, Ta-Pei and Li, Ling-Fong}, + Journal = {Phys.Rev.}, + Year = {1977}, + Pages = {1425}, + Volume = {D16}, + + Doi = {10.1103/PhysRevD.16.1425}, + File = {Published version:refs/ChengLi.1977c.pdf:PDF}, + Owner = {NT}, + Reportnumber = {UMSL-77-2, CMU-COO-3066-86}, + Slaccitation = {%%CITATION = PHRVA,D16,1425;%%}, + Timestamp = {2014-04-03} +} + +@Article{COMET.2009, + Title = {Conceptual design report for experimental search for lepton flavor violating $\mu$-- e- conversion at sensitivity of 10^{-16} with a slow-extracted bunched proton beam}, + Author = {COMET}, + Journal = {KEK Report}, + Year = {2009}, + Pages = {2009}, + Volume = {10}, + + Owner = {NT}, + Timestamp = {2014-07-13} +} + +@Article{ConfortoConversi.etal.1962, + Title = {Search for neutrinoless coherent nuclear capture of mu-mesons}, + Author = {Conforto, G. and Conversi, M. and Lella, L. and Penso, G. and Rubbia, C. and Toller, M.}, + Journal = {Il Nuovo Cimento}, + Year = {1962}, + Number = {2}, + Pages = {261-282}, + Volume = {26}, + + Doi = {10.1007/BF02787041}, + File = {Published version:refs/raey.pdf:PDF}, + ISSN = {0029-6341}, + Owner = {NT}, + Publisher = {Societˆ Italiana di Fisica}, + Timestamp = {2014-04-21}, + Url = {http://dx.doi.org/10.1007/BF02787041} +} + +@Article{ConversiLella.etal.1961, + Title = {On the Nuclear Capture of Muons with Electron Emission}, + Author = {Conversi, M. and di Lella, L. and Egidi, A. and Rubbia, C. and Toller, M.}, + Journal = {Phys. Rev.}, + Year = {1961}, + + Month = {Apr}, + Pages = {687--695}, + Volume = {122}, + + Doi = {10.1103/PhysRev.122.687}, + File = {Published version:refs/ConversiLella.etal.1961.pdf:PDF}, + Issue = {2}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-21} +} + +@Article{ConversiPancini.etal.1947, + Title = {{On the Disintegration of Negative Mesons}}, + Author = {Conversi, M. and Pancini, E. and Piccioni, O.}, + Journal = {Phys.Rev.}, + Year = {1947}, + Pages = {209-210}, + Volume = {71}, + + Doi = {10.1103/PhysRev.71.209}, + File = {Published version:refs/ConversiPancini.etal.1947.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,71,209;%%}, + Timestamp = {2014-04-03} +} + +@Article{CookDArcy.etal.2013, + Title = {{First measurements of muon production rate using a novel pion capture system at MuSIC}}, + Author = {Cook, S. and D'Arcy, R. and Fukuda, M. and Hatanaka, K. and Hino, Y. and others}, + Journal = {J.Phys.Conf.Ser.}, + Year = {2013}, + Pages = {012079}, + Volume = {408}, + + Doi = {10.1088/1742-6596/408/1/012079}, + File = {Published version:refs/CookDArcy.etal.2013.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = 00462,408,012079;%%}, + Timestamp = {2014.02.10} +} + +@Article{Cowan.2002, + Title = {{A survey of unfolding methods for particle physics}}, + Author = {Cowan, G.}, + Journal = {Conf.Proc.}, + Year = {2002}, + Pages = {248-257}, + Volume = {C0203181}, + + Owner = {NT}, + Slaccitation = {%%CITATION = CONFP,C0203181,248;%%}, + Timestamp = {2014-04-10}, + Url = {http://www.ippp.dur.ac.uk/Workshops/02/statistics/proceedings/cowan.ps} +} + +@Article{CrittendenWalker.etal.1961, + Title = {{Radiative decay modes of the muon}}, + Author = {Crittenden, R.R. and Walker, W.D. and Ballam, J.}, + Journal = {Phys.Rev.}, + Year = {1961}, + Pages = {1823-1832}, + Volume = {121}, + + Doi = {10.1103/PhysRev.121.1823}, + File = {Published version:refs/CrittendenWalker.etal.1961.pdf:PDF}, + Owner = {NT}, + Reportnumber = {TID-6386}, + Slaccitation = {%%CITATION = PHRVA,121,1823;%%}, + Timestamp = {2014-04-08} +} + +@Article{CzarneckiMarciano.etal.2007a, + Title = {{Electroweak radiative corrections to muon capture}}, + Author = {Czarnecki, Andrzej and Marciano, William J. and Sirlin, + Alberto}, + Journal = {Phys.Rev.Lett.}, + Year = {2007}, + Pages = {032003}, + Volume = {99}, + + Archiveprefix = {arXiv}, + Doi = {10.1103/PhysRevLett.99.032003}, + Eprint = {0704.3968}, + File = {Published version:refs/CzarneckiMarciano.etal.2007a.pdf:PDF;arXiv v1:refs/CzarneckiMarciano.etal.2007a-eprintv1.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Slaccitation = {%%CITATION = ARXIV:0704.3968;%%}, + Timestamp = {2014-05-02} +} + +@Article{DAgostini.2010, + Title = {{Improved iterative Bayesian unfolding}}, + Author = {{D'Agostini}, G.}, + Journal = {ArXiv e-prints}, + Year = {2010}, + + Month = oct, + + Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, + Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1010.0632D}, + Archiveprefix = {arXiv}, + Eprint = {1010.0632}, + File = {arXiv v1:refs/DAgostini.2010-eprintv1.pdf:PDF}, + Keywords = {Physics - Data Analysis, Statistics and Probability}, + Owner = {NT}, + Primaryclass = {physics.data-an}, + Timestamp = {2014-04-09} +} + +@Article{DAgostini.1995, + Title = {{A Multidimensional unfolding method based on Bayes' + theorem}}, + Author = {D'Agostini, G.}, + Journal = {Nucl.Instrum.Meth.}, + Year = {1995}, + Pages = {487-498}, + Volume = {A362}, + + Doi = {10.1016/0168-9002(95)00274-X}, + File = {Published version:refs/DAgostini.1995.pdf:PDF}, + Owner = {NT}, + Reportnumber = {DESY-94-099}, + Slaccitation = {%%CITATION = NUIMA,A362,487;%%}, + Timestamp = {2014-04-09} +} + +@Article{DAgostini.1995a, + Title = {{Probability and measurement uncertainty in physics: A + Bayesian primer}}, + Author = {D'Agostini, Giulio}, + Year = {1995}, + + Archiveprefix = {arXiv}, + Eprint = {hep-ph/9512295}, + File = {arXiv v2:refs/DAgostini.1995a-eprintv2.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {DESY-95-242, ROME-1070-1995}, + Slaccitation = {%%CITATION = HEP-PH/9512295;%%}, + Timestamp = {2014-04-09} +} + +@Article{DanbyGaillard.etal.1962, + Title = {{Observation of High-Energy Neutrino Reactions and the + Existence of Two Kinds of Neutrinos}}, + Author = {Danby, G. and Gaillard, J.M. and Goulianos, Konstantin A. + and Lederman, L.M. and Mistry, Nari B. and others}, + Journal = {Phys.Rev.Lett.}, + Year = {1962}, + Pages = {36-44}, + Volume = {9}, + + Doi = {10.1103/PhysRevLett.9.36}, + File = {Published version:refs/DanbyGaillard.etal.1962.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PRLTA,9,36;%%}, + Timestamp = {2014-04-11} +} + +@InProceedings{Dembinski.2011, + Title = {ARU--towards automatic unfolding of detector effects}, + Author = {Dembinski, HP and Roth, M}, + Booktitle = {Proceedings of the PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, CERN, Geneva Switzerland}, + Year = {2011}, + Pages = {17--20}, + + File = {Published version:Dembinski.2011.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014-04-09}, + Url = {http://indico.cern.ch/event/107747/session/1/contribution/71/material/paper/0.pdf} +} + +@Article{EcksteinPratt.1959, + Title = {Radiative muon decay }, + Author = {S.G Eckstein and R.H Pratt}, + Journal = {Annals of Physics }, + Year = {1959}, + Number = {2}, + Pages = {297 - 309}, + Volume = {8}, + + Doi = {http://dx.doi.org/10.1016/0003-4916(59)90024-7}, + File = {Published version:refs/EcksteinPratt.1959.pdf:PDF}, + ISSN = {0003-4916}, + Owner = {NT}, + Timestamp = {2014-04-08}, + Url = {http://www.sciencedirect.com/science/article/pii/0003491659900247} +} + +@Article{Ejiri.2000, + Title = {Nuclear spin isospin responses for low-energy neutrinos }, + Author = {Hiroyasu Ejiri}, + Journal = {Physics Reports }, + Year = {2000}, + Number = {3}, + Pages = {265 - 351}, + Volume = {338}, + + Doi = {http://dx.doi.org/10.1016/S0370-1573(00)00044-2}, + File = {Published version:Ejiri.2000.pdf:PDF}, + ISSN = {0370-1573}, + Keywords = {Nuclear responses for neutrinos}, + Owner = {NT}, + Timestamp = {2014-08-12}, + Url = {http://www.sciencedirect.com/science/article/pii/S0370157300000442} +} + +@Article{EllisHisano.etal.2002a, + Title = {{CP violation in the minimal supersymmetric seesaw + model}}, + Author = {Ellis, John R. and Hisano, Junji and Lola, Smaragda and + Raidal, Martti}, + Journal = {Nucl.Phys.}, + Year = {2002}, + Pages = {208-234}, + Volume = {B621}, + + Archiveprefix = {arXiv}, + Doi = {10.1016/S0550-3213(01)00583-1}, + Eprint = {hep-ph/0109125}, + File = {Published version:refs/EllisHisano.etal.2002a.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {CERN-TH-2001-236, KEK-TH-779}, + Slaccitation = {%%CITATION = HEP-PH/0109125;%%}, + Timestamp = {2014-04-01} +} + +@Article{EllisHisano.etal.2002, + Title = {{Lepton electric dipole moments in nondegenerate + supersymmetric seesaw models}}, + Author = {Ellis, John R. and Hisano, Junji and Raidal, Martti and + Shimizu, Yasuhiro}, + Journal = {Phys.Lett.}, + Year = {2002}, + Pages = {86-96}, + Volume = {B528}, + + Archiveprefix = {arXiv}, + Doi = {10.1016/S0370-2693(02)01197-8}, + Eprint = {hep-ph/0111324}, + File = {Published version:refs/EllisHisano.etal.2002.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {CERN-TH-2001-311, KEK-TH-791, DPNU-01-32}, + Slaccitation = {%%CITATION = HEP-PH/0111324;%%}, + Timestamp = {2014-04-01} +} + +@Article{EngferWalter.1986, + Title = {{MUON DECAY EXPERIMENTS}}, + Author = {Engfer, R. and Walter, H.K.}, + Journal = {Ann.Rev.Nucl.Part.Sci.}, + Year = {1986}, + Pages = {327-359}, + Volume = {36}, + + Doi = {10.1146/annurev.ns.36.120186.001551}, + File = {Published version:refs/EngferWalter.1986.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = ARNUA,36,327;%%}, + Timestamp = {2014-04-29} +} + +@Article{raey, + Title = {Radiative pion capture by32S}, + Author = {Eramzhyan, R.A. and Majling, L. and ?’zek, J. and Sakaev, R.A.}, + Journal = {Czechoslovak Journal of Physics B}, + Year = {1978}, + Number = {10}, + Pages = {1081-1092}, + Volume = {28}, + + Doi = {10.1007/BF01602795}, + File = {Published version:raey.pdf:PDF}, + ISSN = {0011-4626}, + Language = {English}, + Owner = {NT}, + Publisher = {Kluwer Academic Publishers}, + Timestamp = {2014-08-12}, + Url = {http://dx.doi.org/10.1007/BF01602795} +} + +@Article{FeinbergKabir.etal.1959, + Title = {Transformation of Muons into Electrons}, + Author = {Feinberg, G. and Kabir, P. and Weinberg, S.}, + Journal = {Phys. Rev. Lett.}, + Year = {1959}, + + Month = {Dec}, + Pages = {527--530}, + Volume = {3}, + + Doi = {10.1103/PhysRevLett.3.527}, + File = {Published version:refs/FeinbergKabir.etal.1959.pdf:PDF}, + Issue = {11}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-23} +} + +@Article{FermiTeller.1947, + Title = {{The capture of negative mesotrons in matter}}, + Author = {Fermi, E. and Teller, E.}, + Journal = {Phys.Rev.}, + Year = {1947}, + Pages = {399-408}, + Volume = {72}, + + Doi = {10.1103/PhysRev.72.399}, + File = {Published version:refs/FermiTeller.1947.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,72,399;%%}, + Timestamp = {2014-04-29} +} + +@Article{FermiTeller.etal.1947, + Title = {{The decay of negative mesotrons in matter}}, + Author = {Fermi, E. and Teller, E. and Weisskopf, V.}, + Journal = {Phys.Rev.}, + Year = {1947}, + Pages = {314-315}, + Volume = {71}, + + Doi = {10.1103/PhysRev.71.314}, + File = {Published version:refs/FermiTeller.etal.1947.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,71,314;%%}, + Timestamp = {2014-04-03} +} + +@Article{FetscherGerber.etal.1986, + Title = {{Muon Decay: Complete Determination of the Interaction + and Comparison with the Standard Model}}, + Author = {Fetscher, W. and Gerber, H.J. and Johnson, K.F.}, + Journal = {Phys.Lett.}, + Year = {1986}, + Pages = {102}, + Volume = {B173}, + + Doi = {10.1016/0370-2693(86)91239-6}, + File = {Published version:refs/FetscherGerber.etal.1986.pdf:PDF}, + Owner = {NT}, + Reportnumber = {ETHZ-IMP-P86/3}, + Slaccitation = {%%CITATION = PHLTA,B173,102;%%}, + Timestamp = {2014-04-08} +} + +@Article{FeynmanGell-Mann.1958, + Title = {{Theory of Fermi interaction}}, + Author = {Feynman, R.P. and Gell-Mann, Murray}, + Journal = {Phys.Rev.}, + Year = {1958}, + Pages = {193-198}, + Volume = {109}, + + Doi = {10.1103/PhysRev.109.193}, + File = {Published version:refs/FeynmanGell-Mann.1958.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,109,193;%%}, + Timestamp = {2014-04-28} +} + +@TechReport{Foroughli.1997, + Title = {$\pi$E1 secondary beam line}, + Author = {F Foroughli}, + Institution = {PSI}, + Year = {1997}, + Month = {10}, + Type = {Technical note}, + + File = {Published version:Foroughli.1997.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014.05.14}, + Url = {http://aea.web.psi.ch/beam2lines/pie1.pdf} +} + +@Article{FronsdalUberall.1959, + Title = {{mu-Meson Decay with Inner Bremsstrahlung}}, + Author = {Fronsdal, C. and Uberall, H.}, + Journal = {Phys.Rev.}, + Year = {1959}, + Pages = {654-657}, + Volume = {113}, + + Doi = {10.1103/PhysRev.113.654}, + File = {Published version:refs/FronsdalUberall.1959.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,113,654;%%}, + Timestamp = {2014-04-08} +} + +@Article{GadioliGadioli.1987, + Title = {Nuclear reactions induced by ${$\pi${}}^{\mathrm{-}}$ at rest}, + Author = {Gadioli, E. and Gadioli Erba, E.}, + Journal = {Phys. Rev. C}, + Year = {1987}, + + Month = {Aug}, + Pages = {741--757}, + Volume = {36}, + + __markedentry = {[NT:]}, + Doi = {10.1103/PhysRevC.36.741}, + File = {Published version:GadioliGadioli.1987.pdf:PDF}, + Issue = {2}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-08-12}, + Url = {http://link.aps.org/doi/10.1103/PhysRevC.36.741} +} + +@Article{Gornov198442, + Title = {Two-arm semiconductor spectrometer for charged particles for the investigation of absorption by nuclei of stopped negative pions }, + Author = {M.G. Gornov and Yu.B. Gurov and A.S. Lukin and P.V. Morokhov and V.A. Pechkurov and A.P. Pichugin and V.I. Saveliev and R.R. Shafigullin and F.M. Sergeev and A.A. Khomutov and K.O. Oganesian and B.P. Osipenko and V.G. Sandukovsky}, + Journal = {Nuclear Instruments and Methods in Physics Research }, + Year = {1984}, + Number = {1}, + Pages = {42 - 50}, + Volume = {225}, + + Doi = {http://dx.doi.org/10.1016/0167-5087(84)91335-8}, + File = {Published version:Gornov198442.pdf:PDF}, + ISSN = {0167-5087}, + Owner = {NT}, + Timestamp = {2014-08-12}, + Url = {http://www.sciencedirect.com/science/article/pii/0167508784913358} +} + +@Article{GorringeFearing.2003, + Title = {Induced pseudoscalar coupling of the proton weak interaction}, + Author = {Gorringe, Tim and Fearing, Harold W.}, + Journal = {Rev. Mod. Phys.}, + Year = {2003}, + + Month = {Dec}, + Pages = {31--91}, + Volume = {76}, + + Doi = {10.1103/RevModPhys.76.31}, + File = {Published version:refs/GorringeFearing.2003.pdf:PDF}, + Issue = {1}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-05-01}, + Url = {http://link.aps.org/doi/10.1103/RevModPhys.76.31} +} + +@Article{Grossman.2010, + Title = {{Introduction to flavor physics}}, + Author = {Grossman, Yuval}, + Year = {2010}, + Pages = {111-144}, + + Archiveprefix = {arXiv}, + Eprint = {1006.3534}, + File = {arXiv v1:refs/Grossman.2010-eprintv1.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {CERN-2010-002}, + Slaccitation = {%%CITATION = ARXIV:1006.3534;%%}, + Timestamp = {2014-04-01} +} + +@Article{Grupen.2013, + Title = {{The History of Cosmic Ray Studies after Hess}}, + Author = {Grupen, Claus}, + Journal = {Nucl.Phys.Proc.Suppl.}, + Year = {2013}, + Pages = {19-25}, + Volume = {239-240}, + + Doi = {10.1016/j.nuclphysbps.2013.05.003}, + File = {Published version:refs/Grupen.2013.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = NUPHZ,239-240,19;%%}, + Timestamp = {2014-03-31} +} + +@Article{HardyTowner.2005b, + Title = {{Superallowed 0+ ---\&gt; 0+ nuclear beta decays: A + Critical survey with tests of CVC and the standard model}}, + Author = {Hardy, J.C. and Towner, I.S.}, + Journal = {Phys.Rev.}, + Year = {2005}, + Pages = {055501}, + Volume = {C71}, + + Archiveprefix = {arXiv}, + Doi = {10.1103/PhysRevC.71.055501}, + Eprint = {nucl-th/0412056}, + File = {Published version:refs/HardyTowner.2005b.pdf:PDF}, + Owner = {NT}, + Primaryclass = {nucl-th}, + Slaccitation = {%%CITATION = NUCL-TH/0412056;%%}, + Timestamp = {2014-05-02} +} + +@Article{Henley.1952, + Title = {$\pi$-Meson Production by Protons on Nuclei}, + Author = {Henley, Ernest M}, + Journal = {Physical Review}, + Year = {1952}, + Number = {2}, + Pages = {204}, + Volume = {85}, + + File = {Published version:refs/Henley.1952.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-05-03}, + Url = {http://prola.aps.org/abstract/PR/v85/i2/p204_1} +} + +@Article{HincksPontecorvo.1948, + Title = {{Search for gamma-radiation in the 2.2-microsecond meson decay process}}, + Author = {Hincks, E.P. and Pontecorvo, B.}, + Journal = {Phys.Rev.}, + Year = {1948}, + Pages = {257-258}, + Volume = {73}, + + Doi = {10.1103/PhysRev.73.257}, + File = {Published version:refs/HincksPontecorvo.1948.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = PHRVA,73,257;%%}, + Timestamp = {2014.02.10} +} + +@Article{HockerKartvelishvili.1996, + Title = {{SVD approach to data unfolding}}, + Author = {Hocker, Andreas and Kartvelishvili, Vakhtang}, + Journal = {Nucl.Instrum.Meth.}, + Year = {1996}, + Pages = {469-481}, + Volume = {A372}, + + Archiveprefix = {arXiv}, + Doi = {10.1016/0168-9002(95)01478-0}, + Eprint = {hep-ph/9509307}, + File = {Published version:refs/HockerKartvelishvili.1996.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {M-C-TH-95-15, LAL-95-55}, + Slaccitation = {%%CITATION = HEP-PH/9509307;%%}, + Timestamp = {2014-04-09} +} + +@Article{Huff.1961, + Title = {Decay rate of bound muons }, + Author = {Robert W Huff}, + Journal = {Annals of Physics }, + Year = {1961}, + Number = {2}, + Pages = {288 - 317}, + Volume = {16}, + + Doi = {http://dx.doi.org/10.1016/0003-4916(61)90039-2}, + File = {Published version:Huff.1961.pdf:PDF;Published version:refs/Huff.1961.pdf:PDF}, + ISSN = {0003-4916}, + Url = {http://www.sciencedirect.com/science/article/pii/0003491661900392} +} + +@Article{IlakovacPilaftsis.2011, + Title = {{Charged LFV in a low-scale seesaw mSUGRA model}}, + Author = {Ilakovac, Amon and Pilaftsis, Apostolos}, + Journal = {Nucl.Phys.Proc.Suppl.}, + Year = {2011}, + Pages = {26-31}, + Volume = {218}, + + Archiveprefix = {arXiv}, + Doi = {10.1016/j.nuclphysbps.2011.06.006}, + Eprint = {1012.2823}, + File = {Published version:refs/IlakovacPilaftsis.2011.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Slaccitation = {%%CITATION = ARXIV:1012.2823;%%}, + Timestamp = {2014-04-01} +} + +@Article{IlakovacPilaftsis.etal.2013, + Title = {{Charged lepton flavor violation in supersymmetric + low-scale seesaw models}}, + Author = {Ilakovac, Amon and Pilaftsis, Apostolos and Popov, Luka}, + Journal = {Phys.Rev.}, + Year = {2013}, + Number = {5}, + Pages = {053014}, + Volume = {D87}, + + Archiveprefix = {arXiv}, + Doi = {10.1103/PhysRevD.87.053014}, + Eprint = {1212.5939}, + File = {Published version:refs/IlakovacPilaftsis.etal.2013.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ph}, + Reportnumber = {MAN-HEP-2012-22}, + Slaccitation = {%%CITATION = ARXIV:1212.5939;%%}, + Timestamp = {2014-04-01} +} + +@Article{Ishii.1959, + Title = {An Analysis of the Charged Particles Emitted Following Negative Muon Absorptions in Photographic Emulsions}, + Author = {Ishii, Chikai}, + Journal = {Progress of Theoretical Physics}, + Year = {1959}, + Number = {5}, + Pages = {663-675}, + Volume = {21}, + + Abstract = {Calculations have been performed for the energy distribution of alpha particles and protons following the negative muon absorption in photographic emulsions. Three shapes, (I) Chew-Goldberger distribution, (II) Fermi gas at kT=0 and (III) Fermi gas at kT =9 Mev, are assumed for the proton momentum distributions in the nucleus and the muon absorption probability is calculated for the single particle process. Assuming that the total kinetic energy of produced neutron is imparted into the compound nucleus, we apply the statistical theory to emission processes.With the assumption of (III) for Ag and Br, the energy distributions of emitted alpha particles have been well explained by the calculations using the statistical theory, but the rate or proton emission has come out to be too small. If it is assumed that most of produced neutrons were directly emitted, (I) may explain the energy spectrum of emitted particles. In (II), the emission rate is too small. As for the absorption probability, all three shapes show reasonable agreement with experiment.}, + Doi = {10.1143/PTP.21.663}, + File = {Published version:refs/Ishii.1959.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014-04-07}, + Url = {http://ptp.oxfordjournals.org/content/21/5/663.abstract} +} + +@Article{Jonkmans1996, + Title = {{Radiative muon capture on hydrogen and the induced + pseudoscalar coupling}}, + Author = {Jonkmans, G. and Ahmad, S. and Armstrong, D.S. and + Azuelos, G. and Bertl, Wilhelm H. and others}, + Journal = {Phys.Rev.Lett.}, + Year = {1996}, + Pages = {4512-4515}, + Volume = {77}, + + Archiveprefix = {arXiv}, + Doi = {10.1103/PhysRevLett.77.4512}, + Eprint = {nucl-ex/9608005}, + File = {Published version:Jonkmans1996.pdf:PDF}, + Owner = {NT}, + Primaryclass = {nucl-ex}, + Reportnumber = {TRI-PP-96-40}, + Slaccitation = {%%CITATION = NUCL-EX/9608005;%%}, + Timestamp = {2014.05.10} +} + +@Article{KammelKubodera.2010, + Title = {{Precision muon capture}}, + Author = {Kammel, Peter and Kubodera, Kuniharu}, + Journal = {Ann.Rev.Nucl.Part.Sci.}, + Year = {2010}, + Pages = {327-353}, + Volume = {60}, + + Doi = {10.1146/annurev-nucl-100809-131946}, + File = {Published version:refs/KammelKubodera.2010.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = ARNUA,60,327;%%}, + Timestamp = {2014-05-01} +} + +@TechReport{AlCap.2013, + Title = {Study of Muon Capture for Muon to Electron + Conversion Experiments}, + Author = {Peter Kammel and Yoshitaka Kuno and others}, + Institution = {PSI}, + Year = {2012}, + Month = {12}, + Number = {R-13-03.1}, + Type = {Proposal}, + + Collaboration = {AlCap Collaboration}, + File = {Published version:AlCap.2013.pdf:PDF}, + Owner = {NT}, + Timestamp = {2014-04-30}, + Url = {http://133.1.141.121/~nam/upload/AlCapProposalPSI.pdf} +} + +@Article{KinoshitaSirlin.1959, + Title = {Radiative Decay of the Muon}, + Author = {Kinoshita, Toichiro and Sirlin, Alberto}, + Journal = {Phys. Rev. Lett.}, + Year = {1959}, + + Month = {Feb}, + Pages = {177--178}, + Volume = {2}, + + Doi = {10.1103/PhysRevLett.2.177}, + File = {Published version:refs/KinoshitaSirlin.1959.pdf:PDF}, + Issue = {4}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-08}, + Url = {http://link.aps.org/doi/10.1103/PhysRevLett.2.177} +} + +@Article{KinoshitaSirlin.1957, + Title = {{Polarization of Electrons in Muon Decay with General + Parity-Nonconserving Interactions}}, + Author = {Kinoshita, Toichiro and Sirlin, Alberto}, + Journal = {Phys.Rev.}, + Year = {1957}, + Pages = {844-850}, + Volume = {108}, + + Doi = {10.1103/PhysRev.108.844}, + File = {Published version:refs/KinoshitaSirlin.1957.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,108,844;%%}, + Timestamp = {2014-04-08} +} + +@Article{KitanoKoike.etal.2007, + Title = {Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D 66, 096002 (2002)]}, + Author = {Kitano, Ryuichiro and Koike, Masafumi and Okada, Yasuhiro}, + Journal = {Phys. Rev. D}, + Year = {2007}, + + Month = {Sep}, + Pages = {059902}, + Volume = {76}, + + Doi = {10.1103/PhysRevD.76.059902}, + File = {Published version:refs/KitanoKoike.etal.2007.pdf:PDF}, + Issue = {5}, + Numpages = {1}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-02}, + Url = {http://link.aps.org/doi/10.1103/PhysRevD.76.059902} +} + +@Article{KitanoKoike.etal.2002a, + Title = {Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei}, + Author = {Kitano, Ryuichiro and Koike, Masafumi and Okada, Yasuhiro}, + Journal = {Phys. Rev. D}, + Year = {2002}, + + Month = {Nov}, + Pages = {096002}, + Volume = {66}, + + Doi = {10.1103/PhysRevD.66.096002}, + File = {Published version:refs/KitanoKoike.etal.2002a.pdf:PDF}, + Issue = {9}, + Numpages = {14}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-02}, + Url = {http://link.aps.org/doi/10.1103/PhysRevD.66.096002} +} + +@Article{Knoepfel.etal.2013, + Title = {{Feasibility Study for a Next-Generation Mu2e + Experiment}}, + Author = {Knoepfel, K. and others}, + Year = {2013}, + + Archiveprefix = {arXiv}, + Collaboration = {mu2e Collaboration}, + Eprint = {1307.1168}, + File = {arXiv v2:refs/Knoepfel.etal.2013-eprintv2.pdf:PDF}, + Owner = {NT}, + Reportnumber = {FERMILAB-CONF-13-254}, + Slaccitation = {%%CITATION = ARXIV:1307.1168;%%}, + Timestamp = {2014-04-02} +} + +@Article{KoikeKitano.etal.2003, + Title = {{Lepton flavor violating mu - e conversion rate for + various nuclei}}, + Author = {Koike, M. and Kitano, R. and Okada, Y.}, + Journal = {J.Phys.}, + Year = {2003}, + Pages = {2051-2054}, + Volume = {G29}, + + Doi = {10.1088/0954-3899/29/8/401}, + File = {Published version:refs/KoikeKitano.etal.2003.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = JPHGB,G29,2051;%%}, + Timestamp = {2014-04-02} +} + +@Article{KosmasVergados.1990, + Title = {{Study of the flavor violating (mu-, e-) conversion in + nuclei}}, + Author = {Kosmas, T.S. and Vergados, J.D.}, + Journal = {Nucl.Phys.}, + Year = {1990}, + Pages = {641-670}, + Volume = {A510}, + + Doi = {10.1016/0375-9474(90)90353-N}, + File = {Published version:refs/KosmasVergados.1990.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = NUPHA,A510,641;%%}, + Timestamp = {2014-04-23} +} + +@Article{KosmasVergados.etal.1998, + Title = {{Muon number violating processes in nuclei}}, + Author = {Kosmas, T.S. and Vergados, J.D. and Faessler, Amand}, + Journal = {Phys.Atom.Nucl.}, + Year = {1998}, + Pages = {1161-1174}, + Volume = {61}, + + Archiveprefix = {arXiv}, + Eprint = {nucl-th/9712016}, + File = {arXiv v1:refs/KosmasVergados.etal.1998-eprintv1.pdf:PDF}, + Owner = {NT}, + Primaryclass = {nucl-th}, + Slaccitation = {%%CITATION = NUCL-TH/9712016;%%}, + Timestamp = {2014-04-23} +} + +@Article{KotelchuckTyler.1968, + Title = {Search for a Conserved-Vector-Current Mechanism in the Emission of Protons from $\mu$-Stars in Emulsion}, + Author = {Kotelchuck, D and Tyler, James V}, + Journal = {Physical Review}, + Year = {1968}, + Number = {4}, + Pages = {1190}, + Volume = {165}, + + File = {Published version:refs/KotelchuckTyler.1968.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-05-03}, + Url = {http://prola.aps.org/abstract/PR/v165/i4/p1190_1} +} + +@Article{KraneSharma.etal.1979, + Title = {Energetic charged-particle spectrum following $\mu$-capture by nuclei}, + Author = {Krane, KS and Sharma, TC and Swenson, LW and McDaniels, DK and Varghese, P and Wood, BE and Silbar, RR and Wohlfahrt, HD and Goulding, CA}, + Journal = {Physical Review C}, + Year = {1979}, + Number = {5}, + Pages = {1873}, + Volume = {20}, + + File = {Published version:refs/KraneSharma.etal.1979.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-05-03}, + Url = {http://prc.aps.org/abstract/PRC/v20/i5/p1873_1} +} + +@Article{KronfeldTschirhart.etal.2013, + Title = {{Project X: Physics Opportunities}}, + Author = {Kronfeld, Andreas S. and Tschirhart, Robert S. and + Al-Binni, Usama and Altmannshofer, Wolfgang and + Ankenbrandt, Charles and others}, + Year = {2013}, + + Archiveprefix = {arXiv}, + Editor = {Kronfeld, Andreas S.}, + Eprint = {1306.5009}, + File = {arXiv v2:refs/KronfeldTschirhart.etal.2013-eprintv2.pdf:PDF}, + Owner = {NT}, + Primaryclass = {hep-ex}, + Reportnumber = {FERMILAB-TM-2557, BNL-101116-2013-BC-81834, + JLAB-ACP-13-1725, UASLP-IF-13-001, SLAC-R-1029, + ANL-PHY-13-2, PNNL-22523, LBNL-6334E}, + Slaccitation = {%%CITATION = ARXIV:1306.5009;%%}, + Timestamp = {2014-04-02} +} + +@Article{KrulischAxtmann.1967, + Title = {Energy dependence of the pulse height defect in silicon particle detectors }, + Author = {A.H. Krulisch and R.C. Axtmann}, + Journal = {Nuclear Instruments and Methods }, + Year = {1967}, + Number = {0}, + Pages = {238 - 248}, + Volume = {55}, + + Doi = {http://dx.doi.org/10.1016/0029-554X(67)90128-0}, + File = {Published version:KrulischAxtmann.1967.pdf:PDF}, + ISSN = {0029-554X}, + Owner = {NT}, + Timestamp = {2014-07-14}, + Url = {http://www.sciencedirect.com/science/article/pii/0029554X67901280} +} + +@Article{Kuno.2013, + Title = {{A search for muon-to-electron conversion at J-PARC: The COMET experiment}}, + Author = {Kuno, Yoshitaka}, + Journal = {PTEP}, + Year = {2013}, + Pages = {022C01}, + Volume = {2013}, + + Collaboration = {COMET Collaboration}, + Doi = {10.1093/ptep/pts089}, + File = {Published version:refs/Kuno.2013.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = INSPIRE-1223754;%%}, + Timestamp = {2014.02.10} +} + +@Article{Kuno.2012, + Title = {{COMET and PRISM: Search for charged lepton flavor violation with muons}}, + Author = {Kuno, Yoshitaka}, + Journal = {Nucl.Phys.Proc.Suppl.}, + Year = {2012}, + Pages = {228-231}, + Volume = {225-227}, + + Doi = {10.1016/j.nuclphysbps.2012.02.047}, + File = {Published version:refs/Kuno.2012.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = NUPHZ,225-227,228;%%}, + Timestamp = {2014-02-10} +} + +@Article{KunoOkada.2001, + Title = {{Muon decay and physics beyond the standard model}}, + Author = {Kuno, Yoshitaka and Okada, Yasuhiro}, + Journal = {Review of Modern Physics}, + Year = {2001}, + Number = {January}, + Pages = {151--202}, + Volume = {73}, + + Doi = {10.1103/RevModPhys.73.151}, + File = {Published version:refs/KunoOkada.2001.pdf:PDF}, + Mendeley-groups = {Mu3e/Nam-Detector}, + Owner = {NT}, + Timestamp = {2014-04-08}, + Url = {http://link.aps.org/doi/10.1103/RevModPhys.73.151} +} + +@Article{KuuselaPanaretos.2014, + Title = {{Empirical Bayes unfolding of elementary particle spectra + at the Large Hadron Collider}}, + Author = {Kuusela, Mikael and Panaretos, Victor M.}, + Year = {2014}, + + Archiveprefix = {arXiv}, + Eprint = {1401.8274}, + File = {arXiv v1:refs/KuuselaPanaretos.2014-eprintv1.pdf:PDF}, + Owner = {NT}, + Primaryclass = {stat.AP}, + Slaccitation = {%%CITATION = ARXIV:1401.8274;%%}, + Timestamp = {2014-04-09} +} + +@Article{LagarriguePeyrou.1952, + Author = {Lagarrigue, A. and Peyrou, C.}, + Journal = {Comptes Rendus Acad. Sci. Paris}, + Year = {1952}, + Pages = {1873}, + Volume = {234}, + + Owner = {NT}, + Source = {Scopus}, + Timestamp = {2014-04-21} +} + +@Article{Langley.1973, + Title = {Study of the response of silicon-barrier detectors to protons and $\alpha$-particles}, + Author = {Langley, Robert A}, + Journal = {Nuclear Instruments and Methods}, + Year = {1973}, + Number = {1}, + Pages = {109--112}, + Volume = {113}, + + File = {Published version:Langley.1973.pdf:PDF}, + Owner = {NT}, + Publisher = {Elsevier}, + Timestamp = {2014-05-31}, + Url = {http://dx.doi.org/10.1016/0029-554X(73)90485-0} +} + +@Article{LeeShrock.1977, + Title = {{Natural Suppression of Symmetry Violation in Gauge + Theories: Muon - Lepton and Electron Lepton Number + Nonconservation}}, + Author = {Lee, Benjamin W. and Shrock, Robert E.}, + Journal = {Phys.Rev.}, + Year = {1977}, + Pages = {1444}, + Volume = {D16}, + + Doi = {10.1103/PhysRevD.16.1444}, + File = {Published version:refs/LeeShrock.1977.pdf:PDF}, + Owner = {NT}, + Reportnumber = {FERMILAB-PUB-77-021-THY, FERMILAB-PUB-77-021-T}, + Slaccitation = {%%CITATION = PHRVA,D16,1444;%%}, + Timestamp = {2014-04-02} +} + +@Article{LeeWu.1965, + Title = {{WEAK INTERACTIONS}}, + Author = {Lee, T.D. and Wu, C.S.}, + Journal = {Ann.Rev.Nucl.Part.Sci.}, + Year = {1965}, + Pages = {381-476}, + Volume = {15}, + + Doi = {10.1146/annurev.ns.15.120165.002121}, + File = {Published version:refs/LeeWu.1965.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = ARNUA,15,381;%%}, + Timestamp = {2014-04-28} +} + +@Article{Lenard.1953, + Title = {{Inner Bremsstrahlung in mu-Meson Decay}}, + Author = {Lenard, A.}, + Journal = {Phys.Rev.}, + Year = {1953}, + Pages = {968-973}, + Volume = {90}, + + Doi = {10.1103/PhysRev.90.968}, + File = {Published version:refs/Lenard.1953.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,90,968;%%}, + Timestamp = {2014-04-08} +} + +@Article{LifshitzSinger.1988, + Title = {{HIGH MULTIPLICITY NEUTRON EMISSION FROM MUON CAPTURE}}, + Author = {Lifshitz, M. and Singer, P.}, + Journal = {Phys.Lett.}, + Year = {1988}, + Pages = {607}, + Volume = {B215}, + + Doi = {10.1016/0370-2693(88)90029-9}, + File = {Published version:refs/LifshitzSinger.1988.pdf:PDF}, + Owner = {NT}, + Reportnumber = {TECHNION-PH-88-32}, + Slaccitation = {%%CITATION = PHLTA,B215,607;%%}, + Timestamp = {2014-05-03} +} + +@Article{LifshitzSinger.1988a, + Title = {{MESON EXCHANGE CURRENTS AND ENERGETIC PARTICLE EMISSION + FROM mu- CAPTURE}}, + Author = {Lifshitz, M. and Singer, P.}, + Journal = {Nucl.Phys.}, + Year = {1988}, + Pages = {684-700}, + Volume = {A476}, + + Doi = {10.1016/0375-9474(88)90330-2}, + File = {Published version:refs/LifshitzSinger.1988a.pdf:PDF}, + Owner = {NT}, + Reportnumber = {CERN-TH-4822/87}, + Slaccitation = {%%CITATION = NUPHA,A476,684;%%}, + Timestamp = {2014-05-03} +} + +@Article{LifshitzSinger.1980, + Title = {{The Nuclear Excitation Function and Particle Emission + From Complex Nuclei Following Muon Capture}}, + Author = {Lifshitz, Mordehai and Singer, Paul}, + Journal = {Phys.Rev.}, + Year = {1980}, + Pages = {2135-2150}, + Volume = {C22}, + + Doi = {10.1103/PhysRevC.22.2135}, + File = {Published version:refs/LifshitzSinger.1980.pdf:PDF}, + Owner = {NT}, + Reportnumber = {TECHNION-PH-79-72}, + Slaccitation = {%%CITATION = PHRVA,C22,2135;%%}, + Timestamp = {2014-05-03} +} + +@Article{LifshitzSinger.1978, + Title = {{Charged Particles Emission Following Muon Capture in + Complex Nuclei}}, + Author = {Lifshitz, Mordehai and Singer, Paul}, + Journal = {Phys.Rev.Lett.}, + Year = {1978}, + Pages = {18}, + Volume = {41}, + + Doi = {10.1103/PhysRevLett.41.18}, + File = {Published version:refs/LifshitzSinger.1978.pdf:PDF}, + Owner = {NT}, + Reportnumber = {TECHNION-PH-78-12}, + Slaccitation = {%%CITATION = PRLTA,41,18;%%}, + Timestamp = {2014-05-03} +} + +@Article{MakiNakagawa.etal.1962, + Title = {{Remarks on the unified model of elementary particles}}, + Author = {Maki, Ziro and Nakagawa, Masami and Sakata, Shoichi}, + Journal = {Prog.Theor.Phys.}, + Year = {1962}, + Pages = {870-880}, + Volume = {28}, + + Doi = {10.1143/PTP.28.870}, + File = {Published version:refs/MakiNakagawa.etal.1962.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PTPKA,28,870;%%}, + Timestamp = {2014-04-11} +} + +@Article{MangiarottiLopes.etal.2007, + Title = {A survey of energy loss calculations for heavy ions between 1 and 100 kev }, + Author = {A. Mangiarotti and M.I. Lopes and M.L. Benabderrahmane and V. Chepel and A. Lindote and J. Pinto da Cunha and P. Sona}, + Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment }, + Year = {2007}, + Note = {Proceedings of the 10 th International Symposium on Radiation Physics \{ISRP\} 10 }, + Number = {1}, + Pages = {114 - 117}, + Volume = {580}, + + Doi = {http://dx.doi.org/10.1016/j.nima.2007.05.048}, + File = {Published version:MangiarottiLopes.etal.2007.pdf:PDF}, + ISSN = {0168-9002}, + Keywords = {Energy loss}, + Owner = {NT}, + Timestamp = {2014-07-14}, + Url = {http://www.sciencedirect.com/science/article/pii/S0168900207008790} +} + +@Article{MarcianoSanda.1977, + Title = {{Exotic Decays of the Muon and Heavy Leptons in Gauge + Theories}}, + Author = {Marciano, W.J. and Sanda, A.I.}, + Journal = {Phys.Lett.}, + Year = {1977}, + Pages = {303}, + Volume = {B67}, + + Doi = {10.1016/0370-2693(77)90377-X}, + File = {Published version:refs/MarcianoSanda.1977.pdf:PDF}, + Owner = {NT}, + Reportnumber = {COO-2232B-116}, + Slaccitation = {%%CITATION = PHLTA,B67,303;%%}, + Timestamp = {2014-04-02} +} + +@Article{MarcianoMori.etal.2008, + Title = {{Charged Lepton Flavor Violation Experiments}}, + Author = {Marciano, William J. and Mori, Toshinori and Roney, J. Michael}, + Journal = {Ann.Rev.Nucl.Part.Sci.}, + Year = {2008}, + Pages = {315-341}, + Volume = {58}, + + Doi = {10.1146/annurev.nucl.58.110707.171126}, + File = {Published version:refs/MarcianoMori.etal.2008.pdf:PDF}, + Owner = {nam}, + Slaccitation = {%%CITATION = ARNUA,58,315;%%}, + Timestamp = {2014-02-10} +} + +@Article{MartoffCummings.etal.1991, + Title = {Nucleon pairing in ${\mathrm{$\mu${}}}^{\mathrm{-}}$ capture by $^{40}\mathrm{Ca}$}, + Author = {Martoff, C. J. and Cummings, W. J. and Poani\ifmmode \acute{c}\else \'{c}\fi{}, D. and Hanna, S. S. and Ullrich, H. and Furi\ifmmode \acute{c}\else \'{c}\fi{}, M. and Petkovi\ifmmode \acute{c}\else \'{c}\fi{}, T. and Kozlowski, T. and Perroud, J. P.}, + Journal = {Phys. Rev. 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Lee}, + Year = {2009}, + + Archiveprefix = {arXiv}, + Eprint = {0910.5417}, + File = {arXiv v1:refs/Roberts.2009-eprintv1.pdf:PDF}, + Owner = {nam}, + Primaryclass = {hep-ex}, + Slaccitation = {%%CITATION = ARXIV:0910.5417;%%}, + Timestamp = {2014-02-10} +} + +@Article{SardAlthaus.1948, + Title = {A Search for Delayed Photons from Stopped Sea Level Cosmic-Ray Mesons}, + Author = {Sard, R. D. and Althaus, E. J.}, + Journal = {Phys. Rev.}, + Year = {1948}, + + Month = {Nov}, + Pages = {1364--1371}, + Volume = {74}, + + Doi = {10.1103/PhysRev.74.1364}, + File = {Published version:refs/SardAlthaus.1948.pdf:PDF}, + Issue = {10}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-03}, + Url = {http://link.aps.org/doi/10.1103/PhysRev.74.1364} +} + +@Article{SardCrowe.etal.1961, + Title = {Search for Neutrinoless Conversion of Muon into Electron}, + Author = {Sard, R. D. and Crowe, K. M. and Kruger, H.}, + Journal = {Phys. 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Rev.}, + Year = {1961}, + + Month = {Dec}, + Pages = {1602--1609}, + Volume = {124}, + + Doi = {10.1103/PhysRev.124.1602}, + File = {Published version:refs/Singer.1961.pdf:PDF}, + Issue = {5}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-05-03}, + Url = {http://link.aps.org/doi/10.1103/PhysRev.124.1602} +} + +@Article{SobottkaWills.1968, + Title = {Energy Spectrum of Charged Particles Emitted Following Muon Capture in Si 28}, + Author = {Sobottka, Stanley E and Wills, Edward L}, + Journal = {Physical Review Letters}, + Year = {1968}, + Number = {12}, + Pages = {596}, + Volume = {20}, + + File = {Published version:refs/SobottkaWills.1968.pdf:PDF}, + Owner = {NT}, + Publisher = {APS}, + Timestamp = {2014-04-28}, + Url = {http://prl.aps.org/abstract/PRL/v20/i12/p596_1} +} + +@Article{SotiWauters.etal.2013, + Title = {Performance of Geant4 in simulating semiconductor particle detector response in the energy range below 1MeV}, + Author = {Soti, Gergely and Wauters, Frederik and Breitenfeldt, Martin and Finlay, Paul and Kraev, IS and Knecht, A and Porobi{\'c}, T and Z{\'a}kouck{\`y}, D and Severijns, Nathal}, + Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, + Year = {2013}, + Pages = {11--22}, + Volume = {728}, + + Doi = {10.1016/j.nima.2013.06.047}, + File = {Published version:SotiWauters.etal.2013.pdf:PDF}, + Owner = {NT}, + Publisher = {Elsevier}, + Timestamp = {2014-08-04} +} + +@Article{SteinbauerBauer.etal.1994, + Title = {Energy resolution of silicon detectors: approaching the physical limit}, + Author = {Steinbauer, E and Bauer, P and Geretschl{\"a}ger, M and Bortels, G and Biersack, JP and Burger, P}, + Journal = {Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms}, + Year = {1994}, + Number = {1}, + Pages = {642--649}, + Volume = {85}, + + File = {Published version:SteinbauerBauer.etal.1994.pdf:PDF}, + Owner = {NT}, + Publisher = {Elsevier}, + Timestamp = {2014-05-31}, + Url = { http://dx.doi.org/10.1016/0168-583X(94)95898-X} +} + +@Article{SteinbauerBortels.etal.1994, + Title = {A survey of the physical processes which determine the response function of silicon detectors to alpha particles}, + Author = {Steinbauer, E and Bortels, G and Bauer, P and Biersack, JP and Burger, P and Ahmad, I}, + Journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, + Year = {1994}, + Number = {1}, + Pages = {102--108}, + Volume = {339}, + + File = {Published version:SteinbauerBortels.etal.1994.pdf:PDF}, + Owner = {NT}, + Publisher = {Elsevier}, + Timestamp = {2014-05-31}, + Url = { http://dx.doi.org/10.1016/0168-9002(94)91787-6} +} + +@Article{SteinbergerWolfe.1955, + Title = {Electrons from Muon Capture}, + Author = {Steinberger, J. and Wolfe, Harry B.}, + Journal = {Phys. Rev.}, + Year = {1955}, + + Month = {Dec}, + Pages = {1490--1493}, + Volume = {100}, + + Doi = {10.1103/PhysRev.100.1490}, + File = {Published version:refs/SteinbergerWolfe.1955.pdf:PDF}, + Issue = {5}, + Numpages = {0}, + Owner = {NT}, + Publisher = {American Physical Society}, + Timestamp = {2014-04-21} +} + +@Article{StrassnerTruoel.etal.1979, + Title = {Excitation of $E1$ and $M2$ resonances via (${$\pi${}}^{-}$,$$\gamma${}$) reactions on $^{16,18}\mathrm{O}$}, + Author = {Strassner, G. and Tru\"ol, P. and Alder, J. C. and Gabioud, B. and Joseph, C. and Loude, J. F. and Morel, N. and Perrenoud, A. and Perroud, J. P. and Tran, M. T. and Winkelmann, E. and Dahme, W. and Panke, H. and Renker, D. and Medicus, H. A.}, + Journal = {Phys. Rev. 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Fiz.}, + Year = {1971}, + + Month = {3}, + Pages = {551}, + Volume = {13}, + + Owner = {NT}, + Timestamp = {2014-05-04} +} + +@Article{WeinbergFeinberg.1959, + Title = {{Electromagnetic Transitions Between mu Meson and + Electron}}, + Author = {Weinberg, S. and Feinberg, G.}, + Journal = {Phys.Rev.Lett.}, + Year = {1959}, + Pages = {111-114}, + Volume = {3}, + + Doi = {10.1103/PhysRevLett.3.111}, + File = {Published version:refs/WeinbergFeinberg.1959.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PRLTA,3,111;%%}, + Timestamp = {2014-04-24} +} + +@Article{Weyer1990295, + Title = {Pion absorption in light nuclei }, + Author = {Heinz J Weyer}, + Journal = {Physics Reports }, + Year = {1990}, + Number = {6}, + Pages = {295 - 367}, + Volume = {195}, + + Doi = {http://dx.doi.org/10.1016/0370-1573(90)90076-E}, + File = {Published version:Weyer1990295.pdf:PDF}, + ISSN = {0370-1573}, + Owner = {NT}, + Timestamp = {2014-08-12}, + Url = {http://www.sciencedirect.com/science/article/pii/037015739090076E} +} + +@Article{Wheeler.1949, + Title = {{Some Consequences of the Electromagnetic Interaction + between mu--Mesons and Nuclei}}, + Author = {Wheeler, John A.}, + Journal = {Rev.Mod.Phys.}, + Year = {1949}, + Pages = {133-143}, + Volume = {21}, + + Doi = {10.1103/RevModPhys.21.133}, + File = {Published version:refs/Wheeler.1949.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = RMPHA,21,133;%%}, + Timestamp = {2014-05-02} +} + +@Article{WilkinsFluss.etal.1971, + Title = {Pulse-height defects for heavy ions in a silicon surface-barrier detector}, + Author = {Wilkins, BD and Fluss, MJ and Kaufman, SB and Gross, CE and Steinberg, EP}, + Journal = {Nuclear Instruments and Methods}, + Year = {1971}, + Number = {3}, + Pages = {381--391}, + Volume = {92}, + + Doi = {http://dx.doi.org/10.1016/0029-554X(71)90414-9}, + File = {Published version:WilkinsFluss.etal.1971.pdf:PDF}, + Owner = {NT}, + Publisher = {Elsevier}, + Timestamp = {2014-07-14} +} + +@Article{Wright1998e, + Title = {{Measurement of the induced pseudoscalar coupling using + radiative muon capture on hydrogen}}, + Author = {Wright, D.H. and Ahmad, S. and Armstrong, D.S. and + Azuelos, G. and Bertl, W. and others}, + Journal = {Phys.Rev.}, + Year = {1998}, + Pages = {373-390}, + Volume = {C57}, + + Doi = {10.1103/PhysRevC.57.373}, + File = {Published version:Wright1998e.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = PHRVA,C57,373;%%}, + Timestamp = {2014.05.10} +} + +@Article{WuWilets.1969, + Title = {{Muonic atoms and nuclear structure}}, + Author = {Wu, C.S. and Wilets, L.}, + Journal = {Ann.Rev.Nucl.Part.Sci.}, + Year = {1969}, + Pages = {527-606}, + Volume = {19}, + + Doi = {10.1146/annurev.ns.19.120169.002523}, + File = {Published version:refs/WuWilets.1969.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = ARNUA,19,527;%%}, + Timestamp = {2014-04-29} +} + +@Article{WyttenbachBaertschi.etal.1978, + Title = {{Probabilities of Muon Induced Nuclear Reactions + Involving Charged Particle Emission}}, + Author = {Wyttenbach, A. and Baertschi, P. and Bajo, S. and + Hadermann, J. and Junker, K. and others}, + Journal = {Nucl.Phys.}, + Year = {1978}, + Pages = {278-292}, + Volume = {A294}, + + Doi = {10.1016/0375-9474(78)90218-X}, + File = {Published version:refs/WyttenbachBaertschi.etal.1978.pdf:PDF}, + Owner = {NT}, + Slaccitation = {%%CITATION = NUPHA,A294,278;%%}, + Timestamp = {2014-05-03} +} + +@comment{jabref-meta: groupsversion:3;} + +@comment{jabref-meta: groupstree: +0 AllEntriesGroup:; +1 ExplicitGroup:Data analysis\;0\;Adye.2011\;DAgostini.1995\;DAgostini +.1995a\;DAgostini.2010\;Dembinski.2011\;HockerKartvelishvili.1996\;Kuu +selaPanaretos.2014\;; +2 ExplicitGroup:Bayesian unfolding\;0\;DAgostini.1995\;DAgostini.1995a +\;DAgostini.2010\;; +2 ExplicitGroup:Regularised unfolding\;0\;Blobel.2002\;; +1 ExplicitGroup:CLFV Reviews\;0\;Adye.2011\;AlonsoGavela.etal.2013\;Be +rnsteinCooper.2013\;BurasDe.etal.2013\;Grossman.2010\;KunoOkada.2001\; +MarcianoMori.etal.2008\;MiharaMiller.etal.2013\;RaidalSchaaf.etal.2008 +\;Renga.2012\;; +1 ExplicitGroup:Muon decays\;0\;AndersonNeddermeyer.1936\;ChengLi.1977 +c\;ConversiPancini.etal.1947\;FermiTeller.etal.1947\;FetscherGerber.et +al.1986\;FronsdalUberall.1959\;HincksPontecorvo.1948\;MakiNakagawa.eta +l.1962\;MarcianoSanda.1977\;Michel.1950\;NeddermeyerAnderson.1937\;Pap +ouliasKosmas.2014\;Roberts.2009\;SardAlthaus.1948\;; +2 ExplicitGroup:Mu-e conversion\;0\;Abrams.etal.2012\;Bertl.etal.2006\ +;CookDArcy.etal.2013\;Knoepfel.etal.2013\;KoikeKitano.etal.2003\;Kronf +eldTschirhart.etal.2013\;Kuno.2012\;Kuno.2013\;Miyazaki.etal.2010\;; +2 ExplicitGroup:Mu-eg\;0\;Adam.etal.2013\;BaldiniCei.etal.2013\;; +2 ExplicitGroup:Mu-eee\;0\;Bertl.etal.1985\;; +1 ExplicitGroup:CLFV Theory\;0\;BlankeBuras.etal.2007\;IlakovacPilafts +is.2011\;IlakovacPilaftsis.etal.2013\;KitanoKoike.etal.2002a\;KitanoKo +ike.etal.2007\;LeeShrock.1977\;Mohanta.2011\;Nishijima.1957\;Schwinger +.1957\;; +1 ExplicitGroup:Muon captures\;0\;BalandinGrebenyuk.etal.1978\;Budyash +ovZinov.etal.1971\;CrittendenWalker.etal.1961\;EcksteinPratt.1959\;Ish +ii.1959\;KinoshitaSirlin.1957\;KinoshitaSirlin.1959\;KraneSharma.etal. +1979\;Lenard.1953\;LifshitzSinger.1978\;LifshitzSinger.1980\;LifshitzS +inger.1988\;LifshitzSinger.1988a\;Measday.2001\;MorinagaFry.1953\;Mukh +opadhyay.1977\;Pontecorvo.1947\;Primakoff1959\;Singer.1961\;Singer.197 +4\;VilgelmovaEvseev.etal.1971\;WyttenbachBaertschi.etal.1978\;; +1 ExplicitGroup:Weak interaction\;0\;FeynmanGell-Mann.1958\;LeeWu.1965 +\;; +} + diff --git a/thesis2/thesis.tex b/thesis2/thesis.tex new file mode 100644 index 0000000..11d34f3 --- /dev/null +++ b/thesis2/thesis.tex @@ -0,0 +1,36 @@ +%\documentclass[11pt,a4paper, singlespace,oneside]{book} +\documentclass[11pt,a4paper, singlespace,openany]{book} +%\usepackage[]{uva-seas-thesis} +\usepackage[]{mythesis} +\input{custom_macro} + +\usepackage{fancyhdr} +\pagestyle{fancy} +\fancyhf{} % clear all headers and footers +%\renewcommand{\headrulewidth}{0pt} % remove rule between header and text +\fancyhead[LE,RO]{\thepage} % put page number in left header on even pages, + % right header on odd pages +\fancyhead[RE]{\nouppercase{\leftmark}} % remove uppercase on chapter title +\renewcommand{\chaptermark}[1]{\markboth{#1}{}} % remove "Chapter N." prefix + +\author{John Doe} +\title{Awesome title} + +%\degree{Phd} +%\documenttype{thesis} +%\program{Physics} +%\graduationmonth{9} +%\graduationyear{2014} + +\begin{document} +\maketitle +%\include{chapters/chap2_mu_e_conv} +%\input{chapters/frontmatter} +\input{chapters/chap1_intro} +\input{chapters/chap2_mu_e_conv} +\lipsum[1-15] + +\begin{backmatter} + \input{chapters/backmatter} +\end{backmatter} +\end{document}