Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth

TL;DR

This paper presents a precise calculation of vacuum-polarization screening corrections to hyperfine splitting in Li-like bismuth, enhancing theoretical accuracy by including all-order two-electron diagrams and Wichmann-Kroll contributions.

Contribution

It provides a comprehensive all-order evaluation of vacuum-polarization screening corrections, including previously neglected Wichmann-Kroll effects, for hyperfine splitting in Li-like bismuth.

Findings

Improved theoretical predictions for hyperfine splitting differences.

Inclusion of all-order two-electron diagrams and Wichmann-Kroll contributions.

Enhanced accuracy in quantum electrodynamics calculations for heavy ions.

Abstract

The rigorous calculation of the vacuum-polarization screening corrections to the hyperfine splitting in Li-like bismuth is presented. The two-electron diagrams with electric and magnetic vacuum-polarization loops are evaluated to all orders in alpha*Z, including the Wichmann-Kroll contributions. This improves the accuracy of the theoretical prediction for the specific difference of the hyperfine splitting values of H- and Li-like bismuth.