nam/writeup
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity

submitted to preevaluation committee

Browse Source
This commit is contained in:
nam
2014-10-31 17:23:14 +09:00
parent 6cfbcc9ac9
commit befa19706a
6 changed files with 113 additions and 61 deletions
Download Patch File Download Diff File Expand all files Collapse all files

14
thesis/chapters/chap4_alcap_phys.tex
View File

@@ -736,7 +736,7 @@ smaller in cases of Al and Cu, and about 10 times higher in case of AgBr
\begin{center}
\begin{tabular}{l l c}
\toprule
\textbf{Nucleus} & \textbf{Exp.$\times 10^3$} & \textbf{MEC cal.$\times
\textbf{Nucleus} & \textbf{Experiment$\times 10^3$} & \textbf{Calculation$\times
10^3$}\\
\midrule
Al & $1.38 \pm 0.09$ & 0.3\\
@@ -748,9 +748,10 @@ smaller in cases of Al and Cu, and about 10 times higher in case of AgBr
\bottomrule
\end{tabular}
\end{center}
\caption{Probability of proton emission with $E_p \ge 40$
\si{\MeV}~as calculated by Lifshitz and
Singer~\cite{LifshitzSinger.1988} in comparison with available data.}
\caption{Probability of proton emission with $E_p \ge \SI{40}{\MeV}$
calculated by Lifshitz and
Singer~\cite{LifshitzSinger.1988} with the two-nucleon capture hypothesis
in comparison with available data.}
\label{tab:lifshitzsinger_cal_proton_rate_1988}
\end{table}
% subsection theoretical_models (end)
@@ -825,7 +826,7 @@ 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 optimised. The limited information available makes it difficult to
arrive at a conclusive detector design. The proton emission rate could be 0.97\%
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 in
\eqref{eqn:wyttenbach_ratio}; or as high as 15-20\% from silicon and neon.
@@ -836,7 +837,8 @@ 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 \exp{-\frac{T}{T_0})},
p(T) = A\left(1-\frac{T_{th}}{T}\right)^\alpha
\exp{\left(-\frac{T}{T_0}\right)},
\label{eqn:EH_pdf}
\end{equation}
where $T$ is the kinetic energy of the proton in \si{\MeV}, and the fitted