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.

13 pages

References in corpus (10)

• 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
• Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom
• Virtual light-by-light scattering and the g factor of a bound electron
• Nuclear-polarization correction to the bound-electron g factor in heavy hydrogenlike ions

Cited by in corpus (10)

• Progress in quantum electrodynamics theory of highly charged ions
• Theory of bound-electron g factor in highly charged ions
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• Electron shielding of the nuclear magnetic moment in hydrogen-like atom
• Zeeman effect of the hyperfine structure levels in lithiumlike ions
• Precision spectroscopy on ${}^9$Be overcomes limitations from nuclear structure
• g factor of Li-like ions with nonzero nuclear spin
• CPT and Lorentz symmetry tests with hydrogen using a novel in-beam hyperfine spectroscopy method applicable to antihydrogen experiments
• Hydrogen Spectroscopy with a Lamb-shift Polarimeter - An Alternative Approach Towards Anti-Hydrogen Spectroscopy Experiments
• Fermion selective tests of new physics with the bound electron g-factor