Spectroscopy and physics of atoms and molecules

Nuclear magnetic shielding in highly charged ions

A. M. Volchkova, D. A. Glazov, V. M. Shabaev

Saint Petersburg State University

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.

Keywords: highly charged ions, $g$-factor, hyperfine structure, nuclear magnetic shielding.

Received: 27.08.2021
Revised: 27.08.2021
Accepted: 10.09.2021

DOI: 10.21883/OS.2021.12.51733.2682-21

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