The two-loop self-energy: diagrams in the coordinate-momentum representation

Details The two-loop self-energy: diagrams in the coordinate-momentum representation The two-loop self-energy: diagrams in the coordinate-momentum representation

2010-01-29

arxiv.org/abs/1001.5436v1

Eur.Phys.J.D58:57-68,2010

Physics

Atomic Physics

12 pages, 3 figures, 2 tables

Scientific paper

10.1140/epjd/e2010-00089-4

The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions with the nuclear charge numbers Z=10-30. The numerical accuracy is considerably improved as compared to the previous calculations. The higher-order (in Z\alpha) remainder function is inferred from the numerical results and extrapolated towards Z=0 and 1. The extrapolated value for hydrogen is consistent (but still not in perfect agreement) with the analytical result obtained within the perturbative approach.

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