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.

21 pages, 7 tables

References in corpus (2)

• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$

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