The charged lepton flavor violating (CLFV) processes of μ−e−→e−e− 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 Z increases, the μ−e−→e−e− decay rates increase more rapidly than the result of the previous work of Z3, suggesting this decay as one of the promising processes to search for CLFV interaction.
@article{arxiv.1603.01522,
title = {Improved analyses for $\mu^-e^-\rightarrow e^-e^-$ in muonic atoms by contact interactions},
author = {Yuichi Uesaka and Yoshitaka Kuno and Joe Sato and Toru Sato and Masato Yamanaka},
journal= {arXiv preprint arXiv:1603.01522},
year = {2016}
}