QED theory of the nuclear magnetic shielding in hydrogen-like ions

TL;DR

This paper presents an ab initio calculation of nuclear magnetic shielding in hydrogen-like ions, incorporating relativistic, nuclear, and quantum electrodynamics effects to enable precise nuclear magnetic moment measurements.

Contribution

It provides a comprehensive QED-based calculation of nuclear magnetic shielding, including all orders in the nuclear binding strength parameter, advancing high-precision nuclear magnetic moment determination.

Findings

QED correction evaluated to all orders in the binding parameter

Results enable high-precision nuclear magnetic dipole moment extraction

Inclusion of relativistic and nuclear effects enhances accuracy

Abstract

The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all orders in the nuclear binding strength parameter and, independently, to the first order in the expansion in this parameter. The results obtained lay the basis for the high-precision determination of nuclear magnetic dipole moments from measurements of the g-factor of hydrogen-like ions.