Bound-electron self-energy calculations in Feynman and Coulomb gauges: detailed analysis
Authors
M. Reiter
E. Lazarev
D. Glazov
A. Malyshev
Abstract
The energy correction associated with the self-energy diagram is the leading (in magnitude) contribution to the Lamb shift in hydrogen-like ions. All conventional approaches to this correction rely on partial-wave expansions, which are a stumbling block limiting accuracy. To elucidate an issue, we perform a comparative analysis of partial-wave-expansion convergence in two gauges: Feynman and Coulomb. Some tricks for improving convergence are also discussed.
