g factor of Li-like ions with nonzero nuclear spin

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.

20 pages, 5 figures

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• Zeeman effect of the hyperfine structure levels in lithiumlike ions
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike ions
• Lifetimes and g-factors of the HFS states in H-like and Li-like bismuth