dorsal/arxiv
View SchemaNonrelativistic QED approach to the Lamb shift
| Authors | Ulrich D. Jentschura, Andrzej Czarnecki, Krzysztof Pachucki |
|---|---|
| Categories | |
| ArXiv ID | physics/0603123 |
| URL | https://arxiv.org/abs/physics/0603123 |
| DOI | 10.1103/PhysRevA.72.062102 |
| Journal | Phys.Rev.A 72 (2005) 062102 |
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.
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"abstract": "We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and\nalpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems\nusing the formalism of nonrelativistic quantum electrodynamics. We obtain\ngeneral results valid for all hydrogenic states with nonvanishing orbital\nangular momentum and for the normalized difference of S-states. These results\ninvolve the expectation value of local effective operators and relativistic\ncorrections to Bethe logarithms. The one-loop correction is in agreement with\nprevious calculations for the particular cases of S, P, and D states. The\ntwo-loop correction in the order alpha^2(Zalpha)^6 includes the pure two-loop\nself-energy and all diagrams with closed fermion loops. The obtained results\nallow one to obtain improved theoretical predictions for all excited hydrogenic\nstates.",
"arxiv_id": "physics/0603123",
"authors": [
"Ulrich D. Jentschura",
"Andrzej Czarnecki",
"Krzysztof Pachucki"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.72.062102",
"journal_ref": "Phys.Rev.A 72 (2005) 062102",
"title": "Nonrelativistic QED approach to the Lamb shift",
"url": "https://arxiv.org/abs/physics/0603123"
},
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