Nonrelativistic QED approach to the Lamb shift
Abstract
We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and alpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems using the formalism of nonrelativistic quantum electrodynamics. We obtain general results valid for all hydrogenic states with nonvanishing orbital angular momentum and for the normalized difference of S-states. These results involve the expectation value of local effective operators and relativistic corrections to Bethe logarithms. The one-loop correction is in agreement with previous calculations for the particular cases of S, P, and D states. The two-loop correction in the order alpha^2(Zalpha)^6 includes the pure two-loop self-energy and all diagrams with closed fermion loops. The obtained results allow one to obtain improved theoretical predictions for all excited hydrogenic states.
Cite
@article{arxiv.physics/0603123,
title = {Nonrelativistic QED approach to the Lamb shift},
author = {Ulrich D. Jentschura and Andrzej Czarnecki and Krzysztof Pachucki},
journal= {arXiv preprint arXiv:physics/0603123},
year = {2009}
}
Comments
21 pages, RevTeX