We investigate the asymptotic properties of higher-order binding corrections to the one-loop self-energy of excited states in atomic hydrogen. We evaluate the historically problematic A60 coefficient for all P states with principal quantum numbers n ≤ 7 and D states with n ≤ 8 and find that a satisfactory representation of the n dependence of the coefficients requires a three-parameter fit. For the high-energy contribution to A60, we find exact formulas. The results obtained are relevant for the interpretation of high-precision laser spectroscopic measurements.
U. D. Jentschura et al., "Asymptotic Properties of Self-Energy Coefficients," Physical Review Letters, vol. 90, no. 16, pp. 163001/1 - 163001/4, American Physical Society (APS), Apr 2003.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.90.163001
Keywords and Phrases
Asymptotic Stability; Electrodynamics; Electron Energy Levels; Laser Applications; Numerical Analysis; Spectroscopic Analysis; Quantum Electrodynamics; Self Energy; Ultrahigh Resolution Spectroscopy; Quantum Theory
International Standard Serial Number (ISSN)
Article - Journal
© 2003 American Physical Society (APS), All rights reserved.
01 Apr 2003