Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions

Abstract

The screened QED corrections of the first orders in αand 1/Z to the g factor and the hyperfine splitting of lithiumlike ions are evaluated within ab initio quantum electrodynamical approach. The complete gauge-invariant set of the two-electron self-energy diagrams in the presence of the magnetic field and a dominant part of the two-electron vacuum-polarization diagrams are calculated. The most accurate values of the g factor of Li-like lead and uranium are presented. The theoretical prediction for the specific difference of the hyperfine splittings of H- and Li-like bismuth is improved.

REVTeX, 29 pages, 3 figures

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• Observation of the hyperfine transition in lithium-like Bismuth ${}^{209}{\text{Bi}}^{80+}$: Towards a test of QED in strong magnetic fields
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• Progress in quantum electrodynamics theory of highly charged ions
• Theory of bound-electron g factor in highly charged ions
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• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
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• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Nuclear recoil effect on $g$ factor of heavy ions: prospects for tests of quantum electrodynamics in a new region
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• Electron correlation effects on the $g$ factor of lithiumlike ions
• Ground-state hyperfine splitting of B-like ions in high-Z region
• Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• Testing inter-electronic interaction in lithium-like tin
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• QED approach to valence-hole excitation in closed shell systems
• Insight into the prospective evaluation of third-order interelectronic corrections on Li-like ions