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Czarnecki A, Jentschura UD, Pachucki K. Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states. Phys Rev Lett. 2005;95(18):180404doi: 10.1103/PhysRevLett.95.180404.
Czarnecki, A., Jentschura, U. D., & Pachucki, K. (2005). Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states. Physical review letters, 95(18), 180404. https://doi.org/10.1103/PhysRevLett.95.180404
Czarnecki, Andrzej, et al. "Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states." Physical review letters vol. 95,18 (2005): 180404. doi: https://doi.org/10.1103/PhysRevLett.95.180404
Czarnecki A, Jentschura UD, Pachucki K. Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states. Phys Rev Lett. 2005 Oct 28;95(18):180404. doi: 10.1103/PhysRevLett.95.180404. Epub 2005 Oct 27. PMID: 16383880.
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Phys Rev Lett. 2005 Oct 28;95(18):180404. doi: 10.1103/PhysRevLett.95.180404. Epub 2005 Oct 27.

Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states.

Physical review letters

Andrzej Czarnecki, Ulrich D Jentschura, Krzysztof Pachucki

Affiliations

  1. Department of Physics, University of Alberta, Edmonton, AB, Canada T6G 2J1.

PMID: 16383880 DOI: 10.1103/PhysRevLett.95.180404

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(Zalpha)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 states, defined as Delta N = n3deltaE(nS) - delta E(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 states is calculated with an uncertainty of order 0.1 kHz.

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