Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region

TL;DR

This paper provides detailed calculations of the hyperfine structure of H-, Li-, and B-like ions in the middle-Z region using advanced QED and configuration-interaction methods, accounting for nuclear effects and interelectronic interactions.

Contribution

It introduces a comprehensive QED-based approach combined with large-scale CI methods to evaluate hyperfine structures across multiple ion species and Z values, including nuclear and interelectronic effects.

Findings

Accurate hyperfine splitting values for Z=7-28 ions.

Reduced uncertainties in nuclear structure corrections.

Calculated specific differences between H- and Li-like ions.

Abstract

The hyperfine splitting of the ground state of H-, Li-, and B-like ions is investigated in details within the range of nuclear numbers Z = 7-28. The rigorous QED approach together with the large-scale configuration-interaction Dirac-Fock-Sturm method are employed for the evaluation of the interelectronic-interaction contributions of first and higher orders in 1/Z. The screened QED corrections are evaluated to all orders in (\alpha Z) utilizing an effective potential approach. The influence of nuclear magnetization distribution is taken into account within the single-particle nuclear model. The specific differences between the hyperfine-structure level shifts of H- and Li-like ions, where the uncertainties associated with the nuclear structure corrections are significantly reduced, are also calculated.