The Lamb Shift of Excited S-Levels in Hydrogen and Deuterium Atoms

Abstract

A specific combination of $s$-state Lamb shift $\Delta E_L(1s_{1/2})-n^3\Delta E_L(n{s}_{1/2})$ is considered. Its value is calculated both in the hydrogen and deuterium atoms for $n$ up to 12. The result inludes all correction which can contribute $1kHz$ and particulary: one-loop self energy and vacuum polarization, two-loop contribution. Nuclear finite-size corrections for the isotopic difference of the combination are also evaluated.

Comments: 21 pages, 7 tables