Corrections to hyperfine splitting and Lamb shift induced by diagrams with second order radiative insertions in the electron line

We consider three-loop radiative corrections to the Lamb shift and hyperfine splitting. Corrections of order α3(Zα)5m are the largest still unknown contributions to the Lamb shift in hydrogen. We calculate radiative corrections to the Lamb shift and hyperfine splitting generated by the diagrams with insertions of one radiative photon and electron polarization loops in the graphs with two external photons. We also obtain corrections generated by the gauge-invariant sets of diagrams with two reducible radiative photon insertions in the electron line and a polarization operator insertion in one of the radiative photons, and diagrams with two reducible radiative photon insertions in the electron line and a polarization operator insertion in one of the external photons. Corrections to the Lamb shift and hyperfine splitting generated by the diagrams with insertions of the three-loop one-particle reducible diagrams with radiative photons in the electron line are calculated in the Yennie gauge.PACS Nos.: 12.20.Ds, 31.30.Jv, 32.10.Fn, 36.10.Dr

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First corrections of order α2 (Zα)5 to hyperfine splitting and Lamb shift induced by two-loop insertions in the electron line

Physics Letters B ◽

10.1016/0370-2693(93)91093-3 ◽

1993 ◽

Vol 312 (3) ◽

pp. 358-366 ◽

Cited By ~ 31

Author(s):

Michael I. Eides ◽

Savely G. Karshenboim ◽

Valery A. Shelyuto

Keyword(s):

Hyperfine Splitting ◽

Lamb Shift ◽

Electron Line

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Tests of quantum electrodynamics with EBIT

Canadian Journal of Physics ◽

10.1139/p07-098 ◽

2008 ◽

Vol 86 (1) ◽

pp. 25-31 ◽

Cited By ~ 12

Author(s):

J Sapirstein ◽

K T Cheng

Keyword(s):

Present Status ◽

Feynman Diagram ◽

Quantum Electrodynamics ◽

Nuclear Physics ◽

Hyperfine Splitting ◽

Lamb Shift ◽

Nuclear Recoil ◽

Correct Treatment ◽

Charged Ions ◽

Large Quantum

A Feynman-diagram-based approach to calculating the spectra of highly charged ions is described and applied to lithiumlike and sodiumlike ions. Discrepancies between calculations excluding the two-loop Lamb shift and experiment allow that shift to be determined, as the accuracy of EBIT experiments is well below the size of the effect. The present status of the theory of hyperfine splitting is described, where a large quantum electrodynamics (QED) effect is made difficult to observe because of nuclear physics uncertainties. The importance of a correct treatment of nuclear recoil at present levels of accuracy is stressed, and prospects for a full QED treatment of copperlike ions are discussed. PACS Nos.: 31.30.Jv, 32.30.Rj, 31.25.–v, 31.15.Ar

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