Improved analyses for ๐œ‡โˆ’โข๐‘’โˆ’โ†’๐‘’โˆ’โข๐‘’โˆ’ in muonic atoms by contact interactions

Yuichi Uesaka1, Yoshitaka Kuno1, Joe Sato2, Toru Sato1,3, and Masato Yamanaka4

1Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan
2Physics Department, Saitama University, 255 Shimo-Okubo, Sakura-ku, Saitama, Saitama 338-8570, Japan
3J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, Tokai, Ibaraki 319-1106, Japan
4Department of Physics, Nagoya University, Nagoya 464-8602, Japan

Phys. Rev. D 93, 076006
4/18/16
https://doi.org/10.1103/PhysRevD.93.076006

The charged lepton flavor violating (CLFV) processes of ๐œ‡โˆ’โข๐‘’โˆ’โ†’๐‘’โˆ’โข๐‘’โˆ’ decay by four Fermi contact interactions in a muonic atom for various atoms are investigated. The wave functions of bound and scattering state leptons are properly treated by solving Dirac equations with Coulomb interaction of the finite nuclear charge distributions. This new effect contributes significantly in particular for heavier atoms, where the obtained decay rate is about one order of magnitude larger than the previous estimation for 208Pb. We find that, as the atomic number ๐‘increases, the ๐œ‡โˆ’โข๐‘’โˆ’โ†’๐‘’โˆ’โข๐‘’โˆ’ decay rates increase more rapidly than the result of the previous work of ๐‘3, suggesting this decay as one of the promising processes to search for CLFV interaction.

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