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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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21 pages, 7 tables

Scientific paper

10.1007/s004600050116

A specific combination of $s$-state Lamb shift $\Delta E_L(1s_{1/2}) - n^3 \Delta E_L(ns_{1/2})$ 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 $1 kHz$ 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.

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