QED corrections of order α(Zα)2EF to the hyperfine splitting of P1/2 and P3/2 states in hydrogenlike ions
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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 January 2010
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| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 2010, Volume: 81, Pages: 1-10 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.81.012503 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.81.012503 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.81.012503 
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| Author Notes: | 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) |
| Summary: | 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. |
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| Item Description: | 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 |
| Physical Description: | Online Resource |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.81.012503 |