The second-order electron self-energy in hydrogen-like ions

Details The second-order electron self-energy in hydrogen-like ions The second-order electron self-energy in hydrogen-like ions

1999-04-08

arxiv.org/abs/quant-ph/9904035v1

Phys.Rev.Lett.83:2312,1999

Physics

Quantum Physics

13 LaTex pages, 2 figures

Scientific paper

10.1103/PhysRevLett.83.2312

A calculation of the simplest part of the second-order electron self-energy (loop after loop irreducible contribution) for hydrogen-like ions with nuclear charge numbers $3 \leq Z \leq 92$ is presented. This serves as a test for the more complicated second-order self-energy parts (loop inside loop and crossed loop contributions) for heavy one-electron ions. Our results are in strong disagreement with recent calculations of Mallampalli and Sapirstein for low $Z$ values but are compatible with the two known terms of the analytical $Z\alpha$-expansion.

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