Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth

Abstract

The rigorous calculation of the vacuum-polarization screening corrections to the hyperfine splitting in Li-like bismuth is presented. The two-electron diagrams with electric and magnetic vacuum-polarization loops are evaluated to all orders in alpha*Z, including the Wichmann-Kroll contributions. This improves the accuracy of the theoretical prediction for the specific difference of the hyperfine splitting values of H- and Li-like bismuth.

18 pages with 4 figures

References in corpus (5)

• Test of many-electron QED effects in the hyperfine splitting of heavy high-Z ions
• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions
• QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium
• Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions

Cited by in corpus (12)

• Highly charged ions: optical clocks and applications in fundamental physics
• QED tests with highly-charged ions
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• Observation of the hyperfine transition in lithium-like Bismuth ${}^{209}{\text{Bi}}^{80+}$: Towards a test of QED in strong magnetic fields
• Progress in quantum electrodynamics theory of highly charged ions
• Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+
• High-precision measurements of $n=2\to n=1$ transition energies and level widths in He- and Be-like Argon Ions
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Ground-state hyperfine splitting of B-like ions in high-Z region
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• Vacuum polarization corrections to hyperfine structure in many-electron atoms