English

Radiative $\bm{\alpha^7m}$ QED contribution to the helium Lamb shift

Atomic Physics 2021-01-13 v2 High Energy Physics - Phenomenology

Abstract

We present a derivation of the last unknown part of the α7m\alpha^7m contribution to the Lamb shift of a two-electron atom, induced by the radiative QED effects beyond the Bethe logarithm. This derivation is performed in the framework of nonrelativistic quantum electrodynamics and is valid for the triplet (spin S=1S = 1) atomic states. The obtained formulas are free from any divergences and are suitable for a numerical evaluation. This opens a way for a complete numerical calculation of the α7m\alpha^7m QED effects in helium, which will allow an accurate determination of the nuclear charge radius from measurements of helium transition frequencies.

Keywords

Cite

@article{arxiv.2012.00503,
  title  = {Radiative $\bm{\alpha^7m}$ QED contribution to the helium Lamb shift},
  author = {Vojtěch Patkóš and Vladimir A. Yerokhin and Krzysztof Pachucki},
  journal= {arXiv preprint arXiv:2012.00503},
  year   = {2021}
}

Comments

28 pages, corrected numerous misprints

R2 v1 2026-06-23T20:38:23.531Z