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

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

Research output: Contribution to journalArticle

Abstract

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
Volume68
Issue number4
DOIs
Publication statusPublished - Jan 1 2003

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perturbation
hydrogen ions
estimates
energy
logarithms
ions
energy levels
expansion
coefficients
spectroscopy
electrons

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Perturbation approach to the self-energy of non-S hydrogenic states. / Le Bigot, Eric Olivier; Jentschura, U.; Mohr, Peter J.; Indelicato, Paul; Soff, Gerhard.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 68, No. 4, 01.01.2003.

Research output: Contribution to journalArticle

Le Bigot, Eric Olivier ; Jentschura, U. ; Mohr, Peter J. ; Indelicato, Paul ; Soff, Gerhard. / Perturbation approach to the self-energy of non-S hydrogenic states. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2003 ; Vol. 68, No. 4.
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