QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

TL;DR

This paper provides ab initio QED calculations of second-order Zeeman splitting in highly charged hydrogen-like ions, including self-energy and vacuum polarization corrections across a broad range of nuclear charges.

Contribution

It introduces rigorous QED-based methods to compute quantum electrodynamical corrections to Zeeman splitting in highly charged ions, extending previous models.

Findings

Self-energy correction evaluated using rigorous QED approach.

Vacuum polarization correction calculated within electric-loop approximation.

Results span nuclear charge numbers Z=14 to Z=92.

Abstract

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy correction is evaluated using the rigorous QED approach. The vacuum polarization correction is evaluated within the electric-loop approximation. Calculations are performed for the wide range of nuclear charge number: $Z = 14 - 92$.