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