Nuclear Shape Effect on the g Factor of Hydrogenlike Ions

TL;DR

This paper calculates how nuclear shape deformations affect the g factor of electrons in hydrogenlike ions across a range of elements, highlighting significant effects in mid to heavy Z ions.

Contribution

It provides analytical derivations of relativistic deformation corrections and evaluates their impact on quantum electrodynamic terms for the first time.

Findings

Deformation corrections become significant for mid-Z ions.

Corrections reach the 10^(-6) level for very heavy elements.

Relativistic effects are crucial for accurate g factor calculations.

Abstract

The nuclear shape correction to the g factor of a bound electron in 1S-state is calculated for a number of nuclei in the range of charge numbers from Z=6 up to Z=92. The leading relativistic deformation correction has been derived analytically and also its influence on one-loop quantum electrodynamic terms has been evaluated. We show the leading corrections to become significant for mid-Z ions and for very heavy elements to even reach the 10^(-6) level.