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Full-Text Articles in Physical Sciences and Mathematics
Self-Energy Correction To The Hyperfine Splitting And The Electron G Factor In Hydrogenlike Ions, Vladimir A. Yerokhin, Ulrich D. Jentschura
Self-Energy Correction To The Hyperfine Splitting And The Electron G Factor In Hydrogenlike Ions, Vladimir A. Yerokhin, Ulrich D. Jentschura
Physics Faculty Research & Creative Works
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 …
Qed Corrections Of Order Α(Zα)²EF To The Hyperfine Splitting Of P1/2 And P3/2 States In Hydrogenlike Ions, Ulrich D. Jentschura, Vladimir A. Yerokhin
Qed Corrections Of Order Α(Zα)²EF To The Hyperfine Splitting Of P1/2 And P3/2 States In Hydrogenlike Ions, Ulrich D. Jentschura, Vladimir A. Yerokhin
Physics Faculty Research & Creative Works
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 …
Self-Energy Correction To The Bound-Electron G Factor Of P States, Ulrich D. Jentschura
Self-Energy Correction To The Bound-Electron G Factor Of P States, Ulrich D. Jentschura
Physics Faculty Research & Creative Works
The radiative self-energy correction to the bound-electron g factor of 2P1/2 and 2P3/2 states in one-electron ions is evaluated to order α(Zα)2. The contribution of high-energy virtual photons is treated by means of an effective Dirac equation, and the result is verified by an approach based on long-wavelength quantum electrodynamics. The contribution of low-energy virtual photons is calculated both in the velocity and in the length gauge, and gauge invariance is verified explicitly. The results compare favorably to recently available numerical data for hydrogenlike systems with low nuclear charge numbers.