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Time-reversal-invariance-violating nucleon-nucleon potential in the 1/N_c expansion
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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.
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Cited by 1 Pith paper
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The Baryon-Baryon Interaction in the Large-$N_c$ Limit
A large-N_c analysis of the chiral baryon-baryon potential cuts the leading-order contact couplings from fifteen to three and fixes F/D=2/3 and C/D=2.
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