diff --git a/thesis/chapters/chap4_alcap_phys.tex b/thesis/chapters/chap4_alcap_phys.tex index 0a33eb7..af630d9 100644 --- a/thesis/chapters/chap4_alcap_phys.tex +++ b/thesis/chapters/chap4_alcap_phys.tex @@ -548,8 +548,8 @@ The classical Coulomb barrier $V$ they used are given by: \label{eqn:classical_coulomb_barrier} \end{equation} where $z$ and $Z$ are the charges of the outgoing particle and of the residual -nucleus respectively, $e^2 = 1.44 \si{\MeV}$, $r_0 = 1.35 \textrm{ fm}$, and -$\rho = 0 \textrm{ fm}$ for protons were taken. +nucleus respectively, $e^2 = 1.44 \si{\MeV}\cdot\textrm{fm}$, $r_0 = 1.35 +\textrm{ fm}$, and $\rho = 0 \textrm{ fm}$ for protons were taken. \begin{figure}[htb] \centering \includegraphics[width=0.48\textwidth]{figs/wyttenbach_rate_1p} @@ -684,25 +684,25 @@ al.~\cite{VilgelmovaEvseev.etal.1971} observed. %nucleus & calculation & experiment & calculation & experiment \\ %\textbf{Col1}\\ \midrule - $^{27}_{13}$Al & 9.7 & {(4.7)} & 40 & {$> 28 \pm 4$} &(70)\\ + $^{27}_{13}$Al & 9.7 & {(4.7)} & 40 & {$> 28 $} &(70)\\ $^{28}_{14}$Si & 32 & 53 \pm 10 & 144 & 150 \pm 30 & \\ - $^{31}_{15}$P & 6.7 & {(6.3)} & 35 & {$> 61 \pm 6$}&(91) \\ + $^{31}_{15}$P & 6.7 & {(6.3)} & 35 & {$> 61$}&(91) \\ $^{39}_{19}$K & 19 & 32 \pm 6 & 67 & {} \\ - $^{41}_{19}$K & 5.1 & {(4.7)} & 30 & {$> 28 \pm 4$} &(70)\\ - $^{51 }_{23}$V &3.7 &2.9 \pm 0.4 &25 &{$>20 \pm 1.8$}& (32)\\ - $^{55 }_{25}$Mn &2.4 &2.8 \pm 0.4 &16 &{$>26 \pm 2.5$}& (35)\\ - $^{59 }_{27}$Co &3.3 &1.9 \pm 0.2 &21 &{$>37 \pm 3.4$}& (50)\\ - $^{60 }_{28}$Ni &8.9 &21.4 \pm 2.3 &49 &40 \pm 5&\\ - $^{63 }_{29}$Cu &4.0 &2.9 \pm 0.6 &25 &{$>17 \pm 3 $}& (36)\\ - $^{65 }_{29}$Cu &1.2 &{(2.3)} &11 &{$>35 \pm 4.5$}& (36)\\ - $^{75 }_{33}$As &1.5 &1.4 \pm 0.2 &14 &{$>14 \pm 1.3$}& (19)\\ - $^{79 }_{35}$Br &2.7 &{} &22 & &\\ - $^{107}_{47}$Ag &2.3 &{} &18 & &\\ - $^{115}_{49}$In &0.63 &{(0.77)} &7.2 &{$>11 \pm 1$} &(12)\\ - $^{133}_{55}$Cs &0.75 &0.48 \pm 0.07 &8.7 &{$>4.9 \pm 0.5$} &(6.7)\\ - $^{165}_{67}$Ho &0.26 &0.30 \pm 0.04 &4.1 &{$>3.4 \pm 0.3$} &(4.6)\\ - $^{181}_{73}$Ta &0.15 &0.26 \pm 0.04 &2.8 &{$>0.7 \pm 0.1$} &(3.0)\\ - $^{208}_{82}$Pb &0.14 &0.13 \pm 0.02 &1.1 &{$>3.0 \pm 0.8$} &(4.1)\\ + $^{41}_{19}$K & 5.1 & {(4.7)} & 30 & {$> 28$} &(70)\\ + %$^{51 }_{23}$V &3.7 &2.9 \pm 0.4 &25 &{$>20 \pm 1.8$}& (32)\\ + %$^{55 }_{25}$Mn &2.4 &2.8 \pm 0.4 &16 &{$>26 \pm 2.5$}& (35)\\ + %$^{59 }_{27}$Co &3.3 &1.9 \pm 0.2 &21 &{$>37 \pm 3.4$}& (50)\\ + %$^{60 }_{28}$Ni &8.9 &21.4 \pm 2.3 &49 &40 \pm 5&\\ + %$^{63 }_{29}$Cu &4.0 &2.9 \pm 0.6 &25 &{$>17 \pm 3 $}& (36)\\ + %$^{65 }_{29}$Cu &1.2 &{(2.3)} &11 &{$>35 \pm 4.5$}& (36)\\ + %$^{75 }_{33}$As &1.5 &1.4 \pm 0.2 &14 &{$>14 \pm 1.3$}& (19)\\ + %$^{79 }_{35}$Br &2.7 &{} &22 & &\\ + %$^{107}_{47}$Ag &2.3 &{} &18 & &\\ + %$^{115}_{49}$In &0.63 &{(0.77)} &7.2 &{$>11 \pm 1$} &(12)\\ + %$^{133}_{55}$Cs &0.75 &0.48 \pm 0.07 &8.7 &{$>4.9 \pm 0.5$} &(6.7)\\ + %$^{165}_{67}$Ho &0.26 &0.30 \pm 0.04 &4.1 &{$>3.4 \pm 0.3$} &(4.6)\\ + %$^{181}_{73}$Ta &0.15 &0.26 \pm 0.04 &2.8 &{$>0.7 \pm 0.1$} &(3.0)\\ + %$^{208}_{82}$Pb &0.14 &0.13 \pm 0.02 &1.1 &{$>3.0 \pm 0.8$} &(4.1)\\ \bottomrule \end{tabular} \end{center} diff --git a/thesis/chapters/chap6_analysis.tex b/thesis/chapters/chap6_analysis.tex index b84f3eb..19c9b66 100644 --- a/thesis/chapters/chap6_analysis.tex +++ b/thesis/chapters/chap6_analysis.tex @@ -178,7 +178,7 @@ which is consistent with the number of X-rays counted using the active target. \toprule \textbf{Efficiency and intensity} & \textbf{Value} & \textbf{Absolute error} & \textbf{Relative error} \\ \midrule - Detector efficiency & \num{4.40E-4} & \num{0.978E-5} & 0.02 \\ + Detector efficiency & \num{4.40E-4} & \num{0.10E-4} & 0.02 \\ X-ray intensity & 0.803 & 0.008 & 0.009 \\ \vspace{0.03em}\\ \toprule @@ -336,7 +336,7 @@ With the aid from MC study (\cref{fig:pid_sim}), the banding on The band of protons is then extracted by cut on likelihood probability calculated as: \begin{equation} - p_{i} = \dfrac{1}{\sqrt{2\pi}\sigma_{\Delta E}} + P_{i} = \dfrac{1}{\sqrt{2\pi}\sigma_{\Delta E}} \exp{\left[\dfrac{(\Delta E_{meas.} - \Delta E_i)^2} {2\sigma^2_{\Delta E}}\right]} \end{equation} diff --git a/thesis/chapters/chap7_results.tex b/thesis/chapters/chap7_results.tex index fd471d8..359d6b1 100644 --- a/thesis/chapters/chap7_results.tex +++ b/thesis/chapters/chap7_results.tex @@ -57,20 +57,20 @@ layer due to these protons with different absorber thickness are shown in \cref{tab:proton_cdc_hitrate}. \begin{table}[htb] \begin{center} - \begin{tabular}{S S S S S} + \begin{tabular}{S S S S S S} \toprule {\textbf{Absorber}} &{\textbf{Inner wall}} & {\textbf{Total CFRP}}& - {\textbf{Proton}} & {\textbf{Momentum}}\\ + {\textbf{Proton}} & {\textbf{Momentum}} & {\textbf{Integrated charge}}\\ {\textbf{thickness}} &{\textbf{thickness}} & {\textbf{thickness}}& - {\textbf{hit rate}} &{\textbf{spread $\Delta p$}}\\ + {\textbf{hit rate}} &{\textbf{spread $\Delta p$}} &{\textbf{300 days}}\\ {(\si{\mm})} & {(\si{\mm})} & {(\si{\mm})} & {(\si{\Hz})} - & {(\si{\keV\per\cc)}}\\ + & {(\si{\keV\per\cc)}} &{(mC/cm)}\\ \midrule - 1 &0.5&1.5 & 2 & 195\\ - 0.5 &0.5&1.0 & 126 & 167\\ - 0 &0.5&0.5 & 1436 & 133\\ - 0 &0.3&0.3 & 8281 & {-}\\ - 0 &0.1&0.1 & 15011& {-}\\ + 1 &0.5&1.5 & 2 & 195 & 25\\ + 0.5 &0.5&1.0 & 126 & 167 & 60\\ + 0 &0.5&0.5 & 1436 & 133 & 160\\ + %0 &0.3&0.3 & 8281 & {-} & {-}\\ + %0 &0.1&0.1 & 15011& {-} & {-}\\ \bottomrule \end{tabular} \end{center} diff --git a/thesis/chapters/chap8_conclusions.tex b/thesis/chapters/chap8_conclusions.tex index 4c27f09..b61f6cc 100644 --- a/thesis/chapters/chap8_conclusions.tex +++ b/thesis/chapters/chap8_conclusions.tex @@ -24,7 +24,7 @@ was made. The main results are: with a decay constant of \SI{2.6}{\MeV}. The partial emission rate in the energy range from \SIrange{4}{8}{\MeV} is $(1.7 \pm 0.1)\%$, and the total emission rate assuming the shape holds for the whole spectrum is - $(3.5\pm0.2)$. + $(3.5\pm0.2)\%$. \end{enumerate} The emission rate is consistent with the lower limit of 2.8\% set by Wyttenbach et al.~\cite{WyttenbachBaertschi.etal.1978}. It is also compatible diff --git a/thesis/chapters/frontmatter.tex b/thesis/chapters/frontmatter.tex index f185e9a..fea1b50 100644 --- a/thesis/chapters/frontmatter.tex +++ b/thesis/chapters/frontmatter.tex @@ -14,7 +14,7 @@ Osaka University} violation (CLFV) process, the muon-to-electron conversion in the presence of a nucleus, \muec. The process is forbidden in the Standard Model (SM), however is -predicted to occur in various extensions of SM, such as . Current experimental +predicted to occur in various extensions of SM. Current experimental upper limit of the branching ratio is $BR(\mu^{-} + Au \rightarrow e^{-} + Au) < 7 \times 10^{-13}$, set by the SINDRUM II experiment [2]. diff --git a/thesis/mythesis.sty b/thesis/mythesis.sty index 47b7e24..c4ed552 100644 --- a/thesis/mythesis.sty +++ b/thesis/mythesis.sty @@ -12,10 +12,11 @@ inner=1.25in, outer=1in, twoside]{geometry} %$ Hyper-link .. \RequirePackage[% -colorlinks=false,% 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 +%colorlinks=false,% 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 +hidelinks, 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 diff --git a/thesis/thesis.tex b/thesis/thesis.tex index aec31ac..7c10071 100644 --- a/thesis/thesis.tex +++ b/thesis/thesis.tex @@ -30,13 +30,13 @@ for the COMET experiment} \mainmatter %%%\input{chapters/chap1_intro} -\input{chapters/chap2_mu_e_conv} -\input{chapters/chap3_comet} -\input{chapters/chap4_alcap_phys} -\input{chapters/chap5_alcap_setup} +%\input{chapters/chap2_mu_e_conv} +%\input{chapters/chap3_comet} +%\input{chapters/chap4_alcap_phys} +%\input{chapters/chap5_alcap_setup} \input{chapters/chap6_analysis} \input{chapters/chap7_results} -\input{chapters/chap8_conclusions} +%\input{chapters/chap8_conclusions} \begin{backmatter} \input{chapters/backmatter}