Improved analysis for μ − e − → e − e − in muonic atoms by photonic interaction
Studies of the charged lepton flavor violating process of μ−e−→e−e− in muonic atoms by the four Fermi interaction [Y. Uesaka et al., Phys. Rev. D 93, 076006 (2016)] are extended to include the photonic interaction. The wave functions of a muon and electrons are obtained by solving the Dirac equation...
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| Veröffentlicht in: | Physical review. D 2018-01, Vol.97 (1), Article 015017 |
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| creator | Uesaka, Yuichi Kuno, Yoshitaka Sato, Joe Sato, Toru Yamanaka, Masato |
| description | Studies of the charged lepton flavor violating process of μ−e−→e−e− in muonic atoms by the four Fermi interaction [Y. Uesaka et al., Phys. Rev. D 93, 076006 (2016)] are extended to include the photonic interaction. The wave functions of a muon and electrons are obtained by solving the Dirac equation with the Coulomb interaction of a finite nuclear charge distribution. We find suppression of the μ−e−→e−e− rate over the initial estimation for the photonic interaction, in contrast to enhancement for the four Fermi interaction. It is due to the Coulomb interaction of scattering states and relativistic lepton wave functions. This finding suggests that the atomic number dependence of the μ−e−→e−e− rate could be used to distinguish between the photonic and the four Fermi interactions. |
| doi_str_mv | 10.1103/PhysRevD.97.015017 |
| format | Article |
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Uesaka et al., Phys. Rev. D 93, 076006 (2016)] are extended to include the photonic interaction. The wave functions of a muon and electrons are obtained by solving the Dirac equation with the Coulomb interaction of a finite nuclear charge distribution. We find suppression of the μ−e−→e−e− rate over the initial estimation for the photonic interaction, in contrast to enhancement for the four Fermi interaction. It is due to the Coulomb interaction of scattering states and relativistic lepton wave functions. 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We find suppression of the μ−e−→e−e− rate over the initial estimation for the photonic interaction, in contrast to enhancement for the four Fermi interaction. It is due to the Coulomb interaction of scattering states and relativistic lepton wave functions. This finding suggests that the atomic number dependence of the μ−e−→e−e− rate could be used to distinguish between the photonic and the four Fermi interactions.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevD.97.015017</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Atomic properties Charge distribution Dependence Dirac equation Flavor (particle physics) Leptons Photonics Quantum theory Wave functions |
| title | Improved analysis for μ − e − → e − e − in muonic atoms by photonic interaction |
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