One-loop electron self-energy for the bound-electron $g$ factor

Abstract

We report calculations of the one-loop self-energy correction to the bound-electron $g$ factor of the $1s$ and $2s$ states of light hydrogen-like ions with the nuclear charge number $Z\le 20$. The calculation is carried out to all orders in the binding nuclear strength. We find good agreement with previous calculations and improve their accuracy by about two orders of magnitude.

Extrapolated results for Z=0, 1, and 2 are updated

References in corpus (5)

• 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
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor

Cited by in corpus (22)

• Advances in QED with intense background fields
• QED tests with highly-charged ions
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Two-loop binding corrections to the electron gyromagnetic factor
• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
• Recoil effect on the g factor of Li-like ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• Calculations of QED effects with the Dirac Green function
• Nuclear recoil effect on the g factor of highly charged Li-like ions
• QED corrections to the $g$ factor of Li- and B-like ions
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Nuclear recoil effect on the g factor of middle-Z boronlike ions
• Self-energy screening effects in the $g$ factor of Li-like ions
• One-loop binding corrections to the electron $g$ factor
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Non-perturbative analysis of nuclear shape effects on the bound electron g factor
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike ions
• Thermal corrections to the bound-electron $g$-factor
• Testing inter-electronic interaction in lithium-like tin
• Computation of the leading order contributions to the Lamb shift for the H atom using spectral regularization
• Fermion selective tests of new physics with the bound electron g-factor