Related papers: Hadronic vacuum polarization correction to the bound-electron $g$ factor

Hadronic vacuum polarization correction to the bound-electron $g$ factor

URL: http://arxiv.org/abs/2303.07973v1
Date: Tue, 14 Mar 2023 15:28:44 GMT
Title: Hadronic vacuum polarization correction to the bound-electron $g$ factor
Authors: Eugen Dizer and Zolt\'an Harman
Abstract summary: The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. In heavy ions, such effects are found to be much larger than for the free-electron $g$ factor.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is employed to calculate $g$ 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 $g$ 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 $g$ factor.

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