Hadronic vacuum polarization correction to the bound-electron $g$ factor
High Energy Physics - Phenomenology
2023-11-28 v1 Atomic Physics
Quantum Physics
Abstract
The hadronic vacuum polarization correction to the factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of annihilation into hadrons is employed to calculate factor corrections for low-lying hydrogenic levels. Analytical Dirac-Coulomb wave functions, as well as bound wave functions accounting for the finite nuclear radius are used. Closed formulas for the factor shift in case of a point-like nucleus are derived. In heavy ions, such effects are found to be much larger than for the free-electron factor.
Cite
@article{arxiv.2303.07973,
title = {Hadronic vacuum polarization correction to the bound-electron $g$ factor},
author = {Eugen Dizer and Zoltán Harman},
journal= {arXiv preprint arXiv:2303.07973},
year = {2023}
}