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

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 $1⩽Z⩽20$ 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.

arXiv comment8 pages, 6 figures, 4 tables

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Cited by in corpus (6)

• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• QED theory of the normal mass shift in few-electron atoms
• Relativistic calculation of the nuclear recoil effect on the $g$ factor of the ${}^2{P}_{3/2}$ state in highly charged B-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions
• Relativistic Correction to the Magnetic Moment of the Charged Lepton