Current quark mass dependence of nucleon magnetic moments and radii

TL;DR

This paper uses a Poincare' covariant Faddeev equation to analyze how nucleon magnetic moments and radii depend on current quark masses, aiding in constraining fundamental constant variations.

Contribution

It introduces a covariant Faddeev equation approach to calculate quark-mass dependence of nucleon electromagnetic properties, linking fundamental physics to observational constraints.

Findings

Nucleon magnetic moments depend on current quark masses.

Charge and magnetic radii influence hydrogen and deuterium energy levels.

Results suggest these observables can constrain variations in fundamental constants.

Abstract

A calculation of the current-quark-mass-dependence of nucleon static electromagnetic properties is necessary in order to use observational data as a means to place constraints on the variation of Nature's fundamental parameters. A Poincare' covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is used to calculate this dependence The results indicate that, like observables dependent on the nucleons' magnetic moments, quantities sensitive to their magnetic and charge radii, such as the energy levels and transition frequencies in Hydrogen and Deuterium, might also provide a tool with which to place limits on the allowed variation in Nature's constants.