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.
V. A. Yerokhin and U. D. Jentschura, "Self-Energy Correction to the Hyperfine Splitting and the Electron g Factor in Hydrogenlike Ions," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 81, no. 1, pp. 012502-1-012502-14, American Physical Society (APS), Jan 2010.
The definitive version is available at https://doi.org/10.1103/PhysRevA.81.012502
Keywords and Phrases
Bound Electrons; Coulomb Field; Electron G-factor; External Magnetic Field; G Factors; Hydrogenlike Ion; Hyperfine Splittings; Hyperfine Structure; Lamb Shifts; Nonperturbative; Nuclear Charge Numbers; Nuclear Spins; Numerical Approaches; Numerical Values; Self-energy Corrections; Spin Dynamics; Magnetic Fields
International Standard Serial Number (ISSN)
Article - Journal
© 2010 American Physical Society (APS), All rights reserved.
01 Jan 2010