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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 P_1/2 states [but no term of order …