Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions

TL;DR

This paper calculates the hyperfine splitting in high-Z boronlike ions, incorporating radiative and interelectronic-interaction corrections, and compares results with experimental data to improve accuracy.

Contribution

It introduces a combined approach using perturbation theory and configuration-interaction methods to accurately compute hyperfine splitting in highly charged ions.

Findings

Calculated hyperfine splitting energies for several B-like ions.

Improved theoretical results using experimental data for lead and bismuth.

Reduced uncertainties in nuclear effects through comparison with experiments.

Abstract

The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale configuration-interaction Dirac-Fock-Sturm method. The screened QED corrections are evaluated utilizing an effective screening potential approach. Total hyperfine splitting energies are presented for several B-like ions of particular interest: {}^{45}Sc{}^{16+}, {}^{57}Fe{}^{21+}, {}^{207}Pb{}^{77+}, and {}^{209}Bi{}^{78+}. For lead and bismuth the experimental values of the 1s hyperfine splitting are employed to improve significantly the theoretical results by reducing the uncertainty due to the nuclear effects.