Electron self-energy for the K and L shells at low nuclear charge

Ulrich D. Jentschura, Peter J. Mohr, Gerhard Soff

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A nonperturbative numerical evaluation of the one-photon self-energy correction in hydrogenlike ions was presented. The evaluation was carried out in ions with low nuclear charge numbers from 1 to 5. A detailed description of the method of evaluation for the ground state and excited state was provided. The results were obtained for the self-energy remainder function with a precision of about 0.8*Z4 Hz for the ground state of atomic hydrogen and 1.0*Z4 for the 2S state. A comparison of numerical results with the results based on known terms in the expansion of the self-energy in powers of Zα was also carried out.

Original languageEnglish
Article number0425121
Pages (from-to)425121-425129
Number of pages9
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Issue number4
Publication statusPublished - Apr 2001


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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