Self-energy correction to the hyperfine splitting and the electron g factor in hydrogen-like ions

Abstract

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe the bound-electron g factor. The self-energy corrections to these effects are more difficult to evaluate than those to the Lamb shift. Here, we describe a numerical approach for both effects in the notoriously problematic regime of hydrogen-like bound systems with low nuclear charge numbers. The calculation is nonperturbative in the binding Coulomb field. Accurate numerical values for the remainder functions are provided for 2P states and for nS states with n=1,2,3.

17 pages, 6 tables

References in corpus (3)

• 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

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