g factor of Li-like ions with nonzero nuclear spin

TL;DR

This paper presents a high-precision relativistic calculation of the g factor for Li-like ions with nonzero nuclear spin, incorporating hyperfine, interelectronic, QED, recoil, and size effects to aid nuclear magnetic moment measurements.

Contribution

It introduces a comprehensive relativistic theoretical framework for the g factor of Li-like ions with nonzero nuclear spin, including hyperfine and interelectronic interactions.

Findings

Calculated high-precision g factor values for Li-like ions

Quantified hyperfine-interaction corrections including interelectronic effects

Results facilitate accurate nuclear magnetic moment determination

Abstract

The fully relativistic theory of the g factor of Li-like ions with nonzero nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole hyperfine-interaction correction to the atomic g factor is calculated including the one-electron contributions as well as the interelectronic-interaction effects of order 1/Z. This correction is combined with the interelectronic-interaction, QED, nuclear recoil, and nuclear size corrections to obtain high-precision theoretical values for the g factor of Li-like ions with nonzero nuclear spin. The results can be used for a precise determination of nuclear magnetic moments from g factor experiments.