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Asymptotic properties of self-energy coefficients
Ulrich D Jentschura1, Eric-Olivier Le Bigot, Peter J Mohr
1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.
Physical Review Letters
|May 7, 2003
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 spectroscopic measurements.