Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory

Abstract

We analyze magnetic and axial two-nucleon contact terms in a combined large-$N_c$ and pionless effective field theory expansion. These terms play important roles in correctly describing, e.g., the low-energy cross section of radiative neutron capture and the deuteron magnetic moment. We show that the large-$N_c$ expansion hints towards a hierarchy between the two leading-order magnetic terms that matches that found in phenomenological fits. We also comment on the issue of naturalness in different Lagrangian bases.

arXiv comment10 pages, 1 figure, version accepted for publication in Physical Review C

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• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Uncertainty quantification in electromagnetic observables of nuclei
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory