The Nucleon-nucleon potential in the 1/N(c) expansion

Dec, 1996
17 pages
Published in:
  • Phys.Rev.C 56 (1997) 76-83
e-Print:
Report number:
  • DOE-ER-40561-302,
  • INT-96-00-156,
  • UW-PT-96-32,
  • UCSD-PTH-96-10

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199820052012201920250246810
Abstract:
The nucleon-nucleon potential is analysed using the 1/N_c expansion of QCD. The NN potential is shown to have an expansion in 1/N_c~2, 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-N_c analysis explains many of the qualitative features observed in the nucleon-nucleon interaction. The 1/N_c expansion implies an effective Wigner supermultiplet symmetry for light nuclei. Results for baryons containing strange quarks are presented in an appendix.
  • quantum chromodynamics
  • nucleon nucleon: potential
  • expansion 1/N: color
  • spin: orbit
  • force
  • baryon baryon: interaction
  • quark: strangeness
  • nuclear properties: symmetry
  • effective Hamiltonian
  • Hartree approximation