Many body study of $g$-factor in boron-like argon

TL;DR

This paper presents a detailed theoretical study of the g-factor in boron-like argon ions, using advanced quantum electrodynamics methods to compare with high-precision experimental measurements and test modern bound-state QED.

Contribution

It provides a comprehensive many-body calculation of the g-factor in boron-like argon, including correlation effects, using high-order coupled cluster and configuration interaction theories.

Findings

Results are consistent with previous studies.

Correlation effects significantly influence the g-factor.

Theoretical values aid in interpreting experimental measurements.

Abstract

Highly accurate measurements of the $g$-factor of boronlike Ar are currently implemented within the ARTEMIS experiment at GSI (Darmstadt, Germany) and within the ALPHATRAP experiment at the MPIK (Heidelberg, Germany). A comparison with the corresponding theoretical predictions will allow one to test the modern methods of bound-state QED. However, at least three different theoretical values of the \emph{g}-factor have been published up to date. The systematic study of the \emph{g} factor value of Ar$^{13+}$ in the ground $[(1s)^2(2s)^2 2p]^2P_{1/2}$ and the first excited $[(1s)^2(2s)^2 2p]^2P_{3/2}$ states is performed within the high order coupled cluster and configuration interaction theories up to the full configuration interaction treatment. Correlation contributions are discussed and results are compared with previous studies.