Nuclear magnetic shielding in highly charged ions

TL;DR

This paper presents a fully relativistic calculation of nuclear magnetic shielding in highly charged ions, crucial for precise nuclear magnetic moment measurements from high-precision g-factor experiments.

Contribution

It introduces a relativistic approach including interelectronic interactions for calculating nuclear magnetic shielding in highly charged ions.

Findings

Relativistic calculations for ions with Z=32-92.

First-order perturbation theory applied to Li- and B-like ions.

Finite-field method used for numerical solutions.

Abstract

The nuclear magnetic shielding is considered within the fully relativistic approach for the ground state of H-, Li-, and B-like ions in the range Z=32-92. The interelectronic interaction is evaluated to the first order of the perturbation theory in Li- and B-like ions. The calculations are based on the finite-field method. The numerical solution of the Dirac equation with the magnetic-field and hyperfine interactions included within the dual-kinetic-balance method is employed. The nuclear magnetic shielding constant is an important ingredient for accurate determination of the nuclear magnetic moments from the high-precision g-factor measurements.