Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings

Abstract

We analyze two-derivative two-nucleon interactions in a combined pionless effective field theory and large-$N_c$ expansion. At leading order in the large-$N_c$ expansion, relationships among low-energy constants emerge. We find these to be consistent with experiment. However, it is critical to correctly address the subtraction-point dependence of the low-energy constants. These results provide additional confidence that the dual-expansion procedure is useful for analyzing low-energy few-body observables.

arXiv comment33 pages, 5 figures, version accepted for publication

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Cited by in corpus (9)

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• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Hidden spin-isospin exchange symmetry
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory