QED corrections of order α(Zα)2EF to the hyperfine splitting of P1/2 and P3/2 states in hydrogenlike ions

• Verfasst von: Jentschura, Ulrich D. [VerfasserIn]
• Verfasst von: Yerokhin, Vladimir [VerfasserIn]
• Titel: QED corrections of order α(Zα)2EF to the hyperfine splitting of P1/2 and P3/2 states in hydrogenlike ions
• Verf.angabe: Ulrich D. Jentschura (Department of Physics, Missouri University of Science and Technology, Rolla, Missouri, USA and Institut für Theoretische Physik, Universität Heidelberg, Germany), Vladimir A. Yerokhin (Max-Planck-Institut für Kernphysik, Heidelberg, Germany and Center for Advanced Studies, St. Petersburg State Polytechnical University, St. Petersburg, Russia)
• E-Jahr: 2010
• Jahr: 11 January 2010
• Umfang: 10 S.
• Illustrationen: Diagramme
• Fussnoten: Die 2 in α(Zα)2EF ist hochgestellt, das F ist tiefgestellt, die Ziffern in P1/2 and P3/2 sind tiefgestellt ; Gesehen am 24.08.2023
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2010
• Band/Heft Quelle: 81(2010) vom: Jan., Artikel-ID 012503, Seite 1-10
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.81.012503
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1857900979

Abstract

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher order self-energy corrections to the HFS of bound P states. These are expressed in a semianalytic expansion involving powers of Zα and ln(Zα), where Z is the nuclear charge number and α is the fine-structure constant. We find that the correction of relative order α(Zα)2 involves only a single logarithm ln(Zα) for P1/2 states [but no term of order α(Zα)2ln2(Zα)], whereas for P3/2 states, even the single logarithm vanishes. By a Foldy-Wouthuysen transformation, we identify a nuclear-spin-dependent correction to the electron’s transition current, which contributes to the HFS of P states. A comparison of the obtained analytic results to a numerical approach is made.