Perturbation Approach to the Self Energy of non-S Hydrogenic States

Details Perturbation Approach to the Self Energy of non-S Hydrogenic States Perturbation Approach to the Self Energy of non-S Hydrogenic States

2003-04-18

arxiv.org/abs/physics/0304068v2

Phys. Rev. A 68 (2003) 042101

Physics

Atomic Physics

18 pages (in 2-column format), 21 figures. Version 2 (June 20, 2003) includes minor modifications

Scientific paper

10.1103/PhysRevA.68.042101

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 A60 perturbative coefficient, which can be considered as a relativistic Bethe logarithm. Precise values of A60 are given for many P, D, F and G states, while estimates are given for other electronic 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.

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