Non-perturbative analysis of nuclear shape effects on the bound electron g factor

TL;DR

This paper presents a non-perturbative numerical analysis of how nuclear shape deformations influence the bound electron g factor across a broad range of nuclei, revealing significant differences from previous analytical methods.

Contribution

It introduces a non-perturbative numerical approach to calculate nuclear deformation effects on the electron g factor, highlighting shell structure influences.

Findings

Nuclear deformation corrections differ significantly from analytical predictions.

Low g factor values observed near filled nuclear shells.

Results span nuclei with charge numbers Z=16 to Z=98.

Abstract

The theory of the g factor of an electron bound to a deformed nucleus is considered non-perturbatively and results are presented for a wide range of nuclei with charge numbers from Z=16 up to Z=98. We calculate the nuclear deformation correction to the bound electron g factor within a numerical approach and reveal a sizable difference compared to previous state-of-the-art analytical calculations. We also note particularly low values in the region of filled proton or neutron shells, and thus a reflection of the nuclear shell structure both in the charge and neutron number.