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arXiv · 2105.14597

Cross section of the Coulomb excitation of $^{229m}$Th by low energy muons

E. V. Tkalya
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Abstract

The inelastic scattering cross section for muons, $\mu^-$, with energies $E$=9--100~eV from the $^{229}$Th nuclei is calculated in the framework of the second order of the perturbation theory for the quantum electrodynamics. The dominant contribution to the excitation of the low energy isomer $^{229m}$Th$(3/2^+,8.19\pm0.12$~eV) comes from the $E2$ multipole. The excitation cross section reaches the value of $10^{-21}$ cm$^2$ in the range $E\approx$10~eV. This is four to five orders of magnitude larger than the electron excitation cross section and enough for efficient excitation of $^{229m}$Th on the muon beam at the next generation of muon colliders.

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E. V. Tkalya. 2021-05-30. Cross section of the Coulomb excitation of $^{229m}$Th by low energy muons. https://doi.org/10.1088/1674-1137%2Fac0b3a

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