QED calculations of the nuclear recoil effect on the bound-electron $g$ factor

TL;DR

This paper presents a fully relativistic quantum electrodynamics (QED) calculation of the nuclear recoil effect on the bound-electron g factor in hydrogenlike ions, covering a range of atomic numbers and electronic states.

Contribution

It provides the first comprehensive all-orders in Z and first-order in m/M QED calculations of the nuclear recoil effect on the bound-electron g factor.

Findings

Calculated recoil corrections for Z=1 to 20.

Analyzed Z-dependence of the QED recoil contribution.

Results applicable to precision tests of QED in hydrogenlike ions.

Abstract

Fully relativistic approach is applied to evaluation of the nuclear recoil effect on the bound-electron $g$ factor in hydrogenlike ions to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in $\alpha Z$. The calculations are performed in the range $1 \leqslant Z \leqslant 20$ for the $g$ factors of $1s$, $2s$, $2p_{1/2}$, and $2p_{3/2}$ states. The $\alpha Z$-dependence of the nontrivial QED recoil contribution as a function of $Z$ is studied.