Asymptotic Properties of Self-Energy Coefficients

Published

April 1, 2003

Author(s)

U Jentschura, E O. LeBigot, Peter J. Mohr, Paul Indelicato, G Soff

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 {less then or equal to} 7 and D states with n {less then or equal to} 8, and find that a satisfactory representation of the n dependence of the coefficients requires a three-parameter fit. The data obtained are consistent with a limit A₆₀ -> cost. as n -> {variation} for constant orbital and total electron.

Citation

Physical Review Letters

Volume

90

Issue

No. 16

Pub Type

Journals

Keywords

A60 coefficient, asymptotic behavior, highly-excited states, hydroben, hydrogenlike ions, perturbation expansion self-energy

Citation

Jentschura, U. , LeBigot, E. , Mohr, P. , Indelicato, P. and Soff, G. (2003), Asymptotic Properties of Self-Energy Coefficients, Physical Review Letters (Accessed October 12, 2025)