Time-reversal-invariance-violating nucleon-nucleon potential in the 1/Nc expansion
Abstract
We apply the large-Nc 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-Nc 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/Nc compared to the parity-violating potential. Comparison with phenomenological potentials, including the chiral EFT potential in the TV parity-violating case, leads to large-Nc scaling relations for TV meson-nucleon and nucleon-nucleon couplings.
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