Interelectronic-interaction contribution to the nuclear recoil effect on the $g$ factor of boronlike ions

TL;DR

This paper investigates the nuclear recoil effect on the ground-state g factor of highly charged boronlike ions, focusing on interelectronic interactions within a relativistic framework to improve accuracy.

Contribution

It introduces two independent methods to evaluate interelectronic-interaction contributions, reducing uncertainties especially for low- and middle-Z ions.

Findings

Interelectronic-interaction contributions are quantified using two approaches.

Uncertainty in nuclear recoil g-factor contributions is significantly reduced.

Results improve the precision of theoretical predictions for boronlike ions.

Abstract

The nuclear recoil effect on the ground-state $g$ factor of highly charged boronlike ions is considered within the relativistic framework. The interelectronic-interaction contribution is evaluated within the Breit approximation employing two independent approaches: the second-order perturbation theory and the configuration-interaction Dirac-Fock-Sturm method. The uncertainty of the nuclear recoil $g$-factor contributions is significantly reduced, especially for low- and middle-$Z$ ions.