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

• Verfasst von: Yerokhin, Vladimir [VerfasserIn]
• Verfasst von: Jentschura, Ulrich D. [VerfasserIn]
• Titel: Self-energy correction to the hyperfine splitting and the electron g factor in hydrogenlike ions
• Verf.angabe: Vladimir A. Yerokhin (Max-Planck-Institut für Kernphysik Heidelberg, and Center for Advanced Studies, St. Petersburg State Polytechnical University), Ulrich D. Jentschura (Department of Physics, Missouri University of Science and Technology and Institut für Theoretische Physik, Universität Heidelberg
• E-Jahr: 2010
• Jahr: January 2010
• Umfang: 14 S.
• Illustrationen: Diagramme
• Fussnoten: Gesehen am 31.05.2024
• Titel Quelle: Enthalten in: Physical review. A, Atomic, molecular, and optical physics
• Ort Quelle: College Park, Md. : [Verlag nicht ermittelbar], 1970
• Jahr Quelle: 2010
• Band/Heft Quelle: 81(2010), 1 vom: Jan., Artikel-ID 012502, Seite 1-14
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.81.012502
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1890439169

Abstract

The hyperfine structure (hfs) and the ???? 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 ???? 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 2⁢???? states and for ???????? states with ????=1,2,3.