Time-reversal-invariance-violating nucleon-nucleon potential in the 1/N_c expansion

Abstract

We apply the large-$N_c$ expansion to the time-reversal-invariance-violating (TV) nucleon-nucleon potential. The operator structures contributing to next-to-next-to-leading order in the large-$N_c$ counting are constructed. For the TV and parity-violating case we find a single operator structure at leading order. The TV but parity-conserving potential contains two leading-order terms, which however are suppressed by 1/$N_c$ compared to the parity-violating potential. Comparison with phenomenological potentials, including the chiral EFT potential in the TV parity-violating case, leads to large-$N_c$ scaling relations for TV meson-nucleon and nucleon-nucleon couplings.

18 pages

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• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Electric dipole moment of the deuteron in the standard model with $NN-\Lambda N-\Sigma N$ coupling
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Large-$N_c$ operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Strong CP Violation and large-$N_c$ spin-flavor symmetry