\begin{document}$ \mu^- $\end{document}, with energies \begin{document}$ E $\end{document} = 9–100 eV from the \begin{document}$ ^{229} $\end{document}Th nuclei is calculated in the framework of the second order of the perturbation theory for quantum electrodynamics. The dominant contribution to the excitation of the low energy isomer \begin{document}$ ^{229m} $\end{document}Th\begin{document}$ (3/2^+,8.19\pm0.12 $\end{document} eV) originates from the \begin{document}$ E2 $\end{document} multipole. The excitation cross section reaches the value of \begin{document}$ 10^{-21} $\end{document} cm\begin{document}$ ^2 $\end{document} in the range \begin{document}$ E\approx $\end{document}10 eV. This value is four to five orders of magnitude larger than the electron excitation cross section and is sufficient for the efficient excitation of \begin{document}$ ^{229m} $\end{document}Th on the muon beam at the next generation of muon colliders."> Cross section of the Coulomb excitation of <inline-formula><tex-math id="Z-20210819142820">\begin{document}${^{\boldsymbol{229m}}{\bf{Th}}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/d1f28071-7d1a-40ce-8273-0958d1ce20da/CPC-2021-0226_Z-20210819142820.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/d1f28071-7d1a-40ce-8273-0958d1ce20da/CPC-2021-0226_Z-20210819142820.png"/></alternatives></inline-formula> by low energy muons -
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