### 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 language | English |
---|---|

Article number | 012502 |

Journal | Physical Review A |

Volume | 81 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2010 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*81*(1), [012502]. https://doi.org/10.1103/PhysRevA.81.012502

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

Research output: Contribution to journal › Article

*Physical Review A*, vol. 81, no. 1, 012502. https://doi.org/10.1103/PhysRevA.81.012502

}

TY - JOUR

T1 - Self-energy correction to the hyperfine splitting and the electron g factor in hydrogenlike ions

AU - Yerokhin, Vladimir A.

AU - Jentschura, U.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=74549137840&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74549137840&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.81.012502

DO - 10.1103/PhysRevA.81.012502

M3 - Article

AN - SCOPUS:74549137840

VL - 81

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 012502

ER -