Perturbation approach to the self-energy of non-S hydrogenic states

Eric Olivier Le Bigot, Ulrich D. Jentschura, Peter J. Mohr, Paul Indelicato, Gerhard Soff

Research output: Contribution to journalArticle


We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self-energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self-energy of non-S states, and provide estimates of the so-called [Formula Presented] perturbation coefficient, which can be viewed as a relativistic Bethe logarithm. Precise values of [Formula Presented] are given for many P, D, F, and G states, while estimates are given for other states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

Original languageEnglish
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
Publication statusPublished - Jan 1 2003

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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