Phys. Rev. Lett. 95, 180404 (2005) [4 pages]Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic StatesSee Also: Publisher's Note Received 8 August 2005; published 27 October 2005; corrected 28 October 2005 General expressions for quantum electrodynamic corrections to the one-loop self-energy [of order α(Zα)6] and for the two-loop Lamb shift [of order α2(Zα)6] 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 Δn=n3ΔE(nS)-ΔE(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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.180404
DOI:
10.1103/PhysRevLett.95.180404
PACS:
12.20.Ds, 06.20.Jr, 31.15.−p, 31.30.Jv
See AlsoPublisher's Note: Andrzej Czarnecki, Ulrich D. Jentschura, and Krzysztof Pachucki, Publisher’s Note: Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States [Phys. Rev. Lett. 95, 180404 (2005)], Phys. Rev. Lett. 95, 199903 (2005). |
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