Zeeman effect of the hyperfine structure levels in lithiumlike ions

Details Zeeman effect of the hyperfine structure levels in lithiumlike ions Zeeman effect of the hyperfine structure levels in lithiumlike ions

2007-12-21

arxiv.org/abs/0712.3640v1

Phys. Rev. A 77, 063421 (2008)

Physics

Atomic Physics

25 pages, 5 figures

Scientific paper

10.1103/PhysRevA.77.063421

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.

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