The Nucleon-Nucleon Potential in the 1/Nc Expansion
David B. Kaplan, Aneesh V. Manohar
Abstract
The nucleon-nucleon potential is analysed using the 1/Nc expansion of QCD. The NN potential is shown to have an expansion in 1/Nc2, and the strengths of the leading order central, spin-orbit, tensor, and quadratic spin-orbit forces (including isospin dependence) are determined. Comparison with a successful phenomenological potential (Nijmegen) shows that the large-Nc analysis explains many of the qualitative features observed in the nucleon-nucleon interaction. The 1/Nc expansion implies an effective Wigner supermultiplet symmetry for light nuclei. Results for baryons containing strange quarks are presented in an appendix.
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