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

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.

References in corpus (12)

• High-precision measurement of the atomic mass of the electron
• Complete two-loop correction to the bound-electron g factor
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Nonrelativistic QED approach to the bound-electron g factor
• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Direct measurement of the ${}^3$He${}^{+}$ magnetic moments
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Two-loop binding corrections to the electron gyromagnetic factor
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• QED corrections to the $g$ factor of Li- and B-like ions
• One-loop binding corrections to the electron $g$ factor
• Hadronic vacuum polarization correction to atomic energy levels

Cited by in corpus (4)

• Critical evaluation of reference charge radii and applications in mirror nuclei
• Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
• $g$ Factor of Boron-like Tin
• Influence of a Perfectly Conducting Plate on the Uehling Potential of QED