Current quark mass dependence of nucleon magnetic moments and radii

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.

arXiv comment23 pages, 2 figures, 4 tables, 4 appendices

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• Explanation and Prediction of Observables using Continuum Strong QCD
• Electroexcitation of nucleon resonances
• Survey of nucleon electromagnetic form factors
• On unifying the description of meson and baryon properties
• Nucleon and $\Delta$ elastic and transition form factors
• Spectrum of hadrons with strangeness
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• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Delta-baryon mass in a covariant Faddeev approach
• Using baryon octet magnetic moments and masses to fix the pion cloud contribution
• Search for variation of fundamental constants and violations of fundamental symmetries using isotope comparisons
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• Variation of the quadrupole hyperfine structure and nuclear radius due to an interaction with scalar and axion dark matter