Zeeman effect of the hyperfine structure levels in lithiumlike ions

Abstract

The fully relativistic theory of the Zeeman splitting of the $(1s{)}^{2}2s$ hyperfine-structure levels in lithiumlike ions with $Z=6-32$ is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections to the Breit -- Rabi formula are calculated and discussed including the one-electron contributions as well as the interelectronic-interaction effects of order 1/Z. The 1/Z corrections are evaluated within a rigorous QED approach. These corrections are combined with other interelectronic-interaction, QED, nuclear recoil, and nuclear size corrections to obtain high-precision theoretical values for the Zeeman splitting in Li-like ions with nonzero nuclear spin. The results can be used for a precise determination of nuclear magnetic moments from $g$-factor experiments.

25 pages, 5 figures

References in corpus (17)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Complete two-loop correction to the bound-electron g factor
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• Self-energy correction to the bound-electron g factor in H-like ions
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• QED theory of the nuclear recoil effect on the atomic g factor
• Relativistic and QED corrections to the g factor of Li-like ions
• Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom
• Nuclear-polarization correction to the bound-electron g factor in heavy hydrogenlike ions
• Anomalous magnetic moment of a bound electron
• Screened QED corrections to the g factor of Li-like ions
• Mass Measurements and the Bound--Electron g Factor
• Zeeman effect of the hyperfine structure levels in hydrogenlike ions
• QED Effects in Heavy Few-Electron Ions
• g factor in a light two body atomic system: a determination of fundamental constants to test QED
• g factor of Li-like ions with nonzero nuclear spin

Cited by in corpus (4)

• Progress in quantum electrodynamics theory of highly charged ions
• Theory of bound-electron g factor in highly charged ions
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike ions
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor