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.

8 pages, 6 figures, 4 tables

References in corpus (10)

• High-precision measurement of the atomic mass of the electron
• g factor of lithiumlike silicon 28Si11+
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• Many-electron QED corrections to the g factor of lithiumlike ions
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Recoil effect on the g factor of Li-like ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• Nuclear recoil correction to the g factor of boron-like argon
• Zeeman effect of the hyperfine structure levels in lithiumlike ions

Cited by in corpus (4)

• 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
• $g$ factor of the $2p_j$ excited states in lithium-like ions
• Relativistic Correction to the Magnetic Moment of the Charged Lepton