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

Vladimir A. Yerokhin, U. Jentschura

Research output: Contribution to journalArticle

28 Citations (Scopus)

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 hydrogenlike 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.

Original languageEnglish
Article number012502
JournalPhysical Review A
Volume81
Issue number1
DOIs
Publication statusPublished - 2010

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hyperfine structure
magnetic fields
ions
electrons
nuclear spin
energy
probes
shift

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Self-energy correction to the hyperfine splitting and the electron g factor in hydrogenlike ions. / Yerokhin, Vladimir A.; Jentschura, U.

In: Physical Review A, Vol. 81, No. 1, 012502, 2010.

Research output: Contribution to journalArticle

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