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.
E. O. Le Bigot et al., "Perturbation Approach to the Self-Energy of Non-S Hydrogenic States," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 68, American Physical Society (APS), Oct 2003.
The definitive version is available at https://doi.org/10.1103/PhysRevA.68.042101
Keywords and Phrases
Electron Energy Levels; Hydrogen; Perturbation Techniques; Relativity; Quantum Electrodynamics; Relativistic Bethe Logarithm; Self-energy Correction; Quantum Theory
International Standard Serial Number (ISSN)
Article - Journal
© 2003 American Physical Society (APS), All rights reserved.
01 Oct 2003