first draft r15a xray

r15a_xray/tex/results.tex

@@ -1,2 +1,28 @@
 \section{Results and discussions}
+\subsection{Titanium}
+Number of stopped muons in the natural titanium target was:
+\begin{equation}
+  N_{\mu} = (88296 \pm 9) \times 10^3 \,.
+  \label{eqn:Nmu_Ti_Tsc}
+\end{equation}
 
+Fitting the peak around \SI{931}{keV} in the photon spectrum gives the 
+center of gravity at \SI{931.6 \pm 0.7}{keV} (see~\cref{fig:ti_931keV_fit}),
+consistent with previously reported value~\cite{Wohlfahrt1981}.
+Number of $(2p-1s)$ X-rays in the \SI{931.6}{keV} peak is:
+\begin{equation}
+  N_{931.6} = (20750 \pm 764) \,.
+\end{equation}
+
+\begin{figure}[tbp]
+  \centering
+  \includegraphics[width=0.8\textwidth]{figs/ti_931keV_fit}
+  \caption{Fitting $(2p-1s)$ peaks}
+  \label{fig:ti_931keV_fit}
+\end{figure}
+
+The emission rate of the $(2p-1s)$ muonic X-rays is calculated as:
+\begin{equation}
+  R_{Ti} = \frac{N_{931.6}}{A_{931.6} \times N_{\mu} \times f_{capTi}} = 0.90
+  \pm 0.04 \,.
+\end{equation}