Asymptotic properties of self-energy coefficients

Abstract

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 spectrocopic measurements.

arXiv comment4 pages

References in corpus (4)

• Calculation of the Electron Self Energy for Low Nuclear Charge
• Higher-order binding corrections to the Lamb shift of 2P states
• The Lamb Shift of Excited S-Levels in Hydrogen and Deuterium Atoms
• Lamb Shift of 3P and 4P states and the determination of $\alpha$

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