Zeeman effect of the hyperfine structure levels in hydrogenlike ions

Abstract

The fully relativistic theory of the Zeeman splitting of the 1s hyperfine structure levels in hydrogenlike ions 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. The results can be used for a precise determination of nuclear magnetic moments from g factor experiments.

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