Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms

Details Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms

2000-01-31

arxiv.org/abs/hep-ph/0001327v1

Phys.Rev. A62 (2000) 012508

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex, 19 pages, 4 figures

Scientific paper

10.1103/PhysRevA.62.012508

We present a numerical evaluation of the loop-after-loop contribution to the second-order self-energy for the ground state of hydrogenlike atoms with low nuclear charge numbers Z. The calculation is carried out in the Fried-Yennie gauge and without an expansion in Z \alpha. Our calculation confirms the results of Mallampalli and Sapirstein and disagrees with the calculation by Goidenko and coworkers. A discrepancy between different calculations is investigated. An accurate fitting of the numerical results provides a detailed comparison with analytic calculations based on an expansion in the parameter Z \alpha. We confirm the analytic results of order \alpha^2 (Z\alpha)^5 but disagree with Karshenboim's calculation of the \alpha^2 (Z \alpha)^6 \ln^3(Z \alpha)^{-2} contribution.

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