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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 …