Abstract

We calculate the one- and two-loop corrections of order α(Zα)6 and α2(Zα)6, respectively, to the Lamb shift in hydrogenlike 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 α2(Zα)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.

Department(s)

Physics

Keywords and Phrases

Lamb Shift; Nonrelativistic QED Approach; One-loop Correction; S States; Fermions; Finite Difference Method; Mathematical Operators; Quantum Theory; Electrodynamics

International Standard Serial Number (ISSN)

1050-2947

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2005 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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