Physics – Atomic Physics
Scientific paper
2009-08-26
Phys. Rev. A 80, 040501(R) (2009)
Physics
Atomic Physics
4 pages, 1 table, 3 figures
Scientific paper
The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for treatment of Feynman diagrams in the mixed coordinate-momentum representation, which yields significant improvement in numerical accuracy as compared to previous results. An extrapolation of the all-order numerical data towards Z=1 yields a result for the higher-order remainder function for hydrogen. The previously reported disagreement between the all-order and the perturbative approaches is reduced to the marginal agreement.
Yerokhin Vladimir A.
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