Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions

TL;DR

This paper calculates the first-order screened QED corrections to the g factor and hyperfine splitting in lithiumlike ions using an ab initio approach, improving theoretical predictions for heavy ions.

Contribution

It provides the first comprehensive gauge-invariant evaluation of two-electron QED corrections including self-energy and vacuum polarization effects for lithiumlike ions.

Findings

Accurate g factor values for Li-like lead and uranium.

Improved theoretical prediction for hyperfine splitting difference in bismuth.

Complete set of two-electron QED diagrams calculated.

Abstract

The screened QED corrections of the first orders in \alpha and 1/Z to the g factor and the hyperfine splitting of lithiumlike ions are evaluated within ab initio quantum electrodynamical approach. The complete gauge-invariant set of the two-electron self-energy diagrams in the presence of the magnetic field and a dominant part of the two-electron vacuum-polarization diagrams are calculated. The most accurate values of the g factor of Li-like lead and uranium are presented. The theoretical prediction for the specific difference of the hyperfine splittings of H- and Li-like bismuth is improved.