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

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Jentschura,  Ulrich David
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Citation

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. doi:10.1103/PhysRevLett.95.180404.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-87F7-D
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 S states, defined as Deltan=n3DeltaE(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.