Study of atomic effects on electron spectrum in bound-muon decay process

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Hauptverfasser: Kaygorodov, M. Y., Kozhedub, Y. S., Malyshev, A. V., Davydov, A. O., Wu, Y., Zhang, S. B.
Format: Preprint
Veröffentlicht: 2025
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author Kaygorodov, M. Y.
Kozhedub, Y. S.
Malyshev, A. V.
Davydov, A. O.
Wu, Y.
Zhang, S. B.
author_facet Kaygorodov, M. Y.
Kozhedub, Y. S.
Malyshev, A. V.
Davydov, A. O.
Wu, Y.
Zhang, S. B.
contents For the bound-muon decay process, the study of atomic effects on the electron spectrum near its endpoint is performed within the framework of the Fermi effective theory. The analysis takes into account for corrections due to finite-nuclear-size, nuclear-deformation, electron-screening, and vacuum-polarization effects, all of which are incorporated self-consistently into the Dirac equation. Furthermore, the nuclear-recoil correction to the muon binding energy is included. Calculations are carried out for the isotopes of C, Al, and Si, which are of a particular importance for forthcoming experiments aimed at search for the charged-lepton flavor-violating process of muon-to-electron conversion in a nuclear field.
format Preprint
id arxiv_https___arxiv_org_abs_2506_02416
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Study of atomic effects on electron spectrum in bound-muon decay process
Kaygorodov, M. Y.
Kozhedub, Y. S.
Malyshev, A. V.
Davydov, A. O.
Wu, Y.
Zhang, S. B.
Atomic Physics
High Energy Physics - Phenomenology
For the bound-muon decay process, the study of atomic effects on the electron spectrum near its endpoint is performed within the framework of the Fermi effective theory. The analysis takes into account for corrections due to finite-nuclear-size, nuclear-deformation, electron-screening, and vacuum-polarization effects, all of which are incorporated self-consistently into the Dirac equation. Furthermore, the nuclear-recoil correction to the muon binding energy is included. Calculations are carried out for the isotopes of C, Al, and Si, which are of a particular importance for forthcoming experiments aimed at search for the charged-lepton flavor-violating process of muon-to-electron conversion in a nuclear field.
title Study of atomic effects on electron spectrum in bound-muon decay process
topic Atomic Physics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.02416