Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States

2006/03/15 by Andrzej Czarnecki, Ulrich D. Jentschura, Krzysztof Pachucki · 1 citation
Physics and Astronomy · #physics.atom-ph

paper · pdf · doi:10.1103/physrevlett.95.180404

published as Phys.Rev.Lett. 95 (2005) 180404 · 4 pages, RevTeX

arxiv created 2006/03/15 · arxiv updated 2009/12/01

Abstract

General expressions for quantum electrodynamic corrections to the one-loop self-energy [of order alpha(Zalpha)⁶] and for the two-loop Lamb shift [of order alpha²(Zα)^] are derived. The latter includes all diagrams with closed fermion loops. The general results are valid for arbitrary excited non-S hydrogenic states and for the normalized Lamb shift difference of S states, defined as Delta_n = n³ DeltaE(nS) - DeltaE(1S). We present numerical results for one-loop and two-loop corrections for excited S, P and D states. In particular, the normalized Lamb shift difference of S states is calculated with an uncertainty of order 0.1 kHz.

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