Screened QED corrections in lithiumlike heavy ions in the presence of magnetic fields

TL;DR

This paper provides precise calculations of QED corrections to hyperfine structure and g factors in lithiumlike heavy ions, accounting for gauge invariance and interelectronic interactions, enhancing theoretical accuracy for these atomic properties.

Contribution

It presents the first rigorous, gauge-invariant evaluation of screened one-loop QED corrections for hyperfine structure and g factors in lithiumlike heavy ions, improving theoretical predictions.

Findings

Most accurate predictions for hyperfine splitting in Bi ions

Precise g factor calculations for Pb ion

Validation of gauge invariance in QED corrections

Abstract

A rigorous evaluation of the complete gauge-invariant set of the screened one-loop QED corrections to the hyperfine structure and g factor in lithiumlike heavy ions is presented. The calculations are performed in both Feynman and Coulomb gauges for the virtual photon mediating the interelectronic interaction. As a result, the most accurate theoretical predictions for the specific difference between the hyperfine splitting values of H- and Li-like Bi ions as well as for the g factor of Li-like Pb ion are obtained.