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arXiv · 2303.07973

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

Eugen Dizer·Zoltán Harman
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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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Eugen Dizer, Zoltán Harman. 2023-03-14. Hadronic vacuum polarization correction to the bound-electron $g$ factor. https://doi.org/10.1103/physreva.108.042808

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