Nuclear-size self-energy and vacuum-polarization corrections to the bound-electron g factor

Abstract

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in the nuclear binding strength parameter Zα (where Z is the nuclear charge and α is the fine structure constant) and for the Fermi model of the nuclear charge distribution. In the result, theoretical predictions for the isotope shift of the 1s bound-electron g factor are obtained, which can be used for the determination of the difference of nuclear charge radii from experimental values of the bound-electron g factors for different isotopes.

References in corpus (7)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Complete two-loop correction to the bound-electron g factor
• g factor of lithiumlike silicon 28Si11+
• Nuclear deformation effect on the binding energies in heavy ions
• 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
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor

Cited by in corpus (15)

• QED tests with highly-charged ions
• Stringent test of QED with hydrogenlike tin
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Two-loop binding corrections to the electron gyromagnetic factor
• Electron-correlation effects in the $g$-factor of light Li-like ions
• 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
• Testing Standard Model extensions with few-electron ions
• Self-energy screening effects in the $g$ factor of Li-like ions
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
• $g$ Factor of Boron-like Tin
• Improved bound-electron g-factor theory through complete two-loop QED calculations