TY - JOUR

T1 - QED corrections of order α(Zα)2EF to the hyperfine splitting of P1/2 and P3/2 states in hydrogenlike ions

AU - Jentschura, Ulrich D.

AU - Yerokhin, Vladimir A.

PY - 2010/1/25

Y1 - 2010/1/25

N2 - 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.

AB - 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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U2 - 10.1103/PhysRevA.81.012503

DO - 10.1103/PhysRevA.81.012503

M3 - Article

AN - SCOPUS:74549182045

VL - 81

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 012503

ER -