Finite nuclear size corrections to the recoil effect in hydrogenlike ions

TL;DR

This paper calculates how the finite size of the nucleus affects the recoil effect in hydrogen-like ions using relativistic quantum mechanics, revealing significant corrections for heavy ions.

Contribution

It provides new calculations of nuclear size corrections to recoil effects in H-like ions across a wide range of atomic numbers, including heavy ions.

Findings

Corrections are about 20% for heavy ions.

Results are compared with previous evaluations.

Calculations cover states 1s, 2s, and 2p_{1/2}.

Abstract

The finite nuclear size corrections to the relativistic recoil effect in H-like ions are calculated within the Breit approximation. The calculations are performed for the $1s$, $2s$, and $2p_{1/2}$ states in the range $Z =$ 1-110. The obtained results are compared with previous evaluations of this effect. It is found that for heavy ions the previously neglected corrections amount to about 20% of the total nuclear size contribution to the recoil effect calculated within the Breit approximation.