Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+

TL;DR

This paper provides precise theoretical calculations of the ground-state hyperfine splitting in selected alkali-metal atoms and ions, incorporating quantum electrodynamics, nuclear magnetization effects, and many-body correlations, aiding parity violation research.

Contribution

It introduces a comprehensive theoretical framework combining QED corrections, nuclear effects, and many-body methods for hyperfine structure calculations in specific atoms and ions.

Findings

QED radiative corrections evaluated with extended Furry picture.

Nuclear magnetization distribution effects analyzed and uncertainties estimated.

Full many-body calculations completed for hyperfine structure description.

Abstract

We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms ^{87}Rb, ^{133}Cs, ^{211}Fr and alkali-metal-like ions ^{135}Ba^+, ^{225}Ra^+, which are of particular interest for parity violation studies. The quantum electrodynamic one-loop radiative corrections have been rigorously evaluated within an extended Furry picture employing core-Hartree and Kohn-Sham atomic potentials. Moreover, the effect of the nuclear magnetization distribution on the hyperfine structure intervals has been studied in detail and its uncertainty has been estimated. Finally, the theoretical description of the hyperfine structure has been completed with full many-body calculations performed in the all-orders correlation potential method.