The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD

Abstract

We show that nuclear interactions are SU(4) symmetric at leading order in chiral perturbation theory in the large-N limit of QCD. The nucleons and delta resonances form a 20-dimensional representation of SU(4) and we show how Wigner's supermultiplet symmetry SU(4)_{sm}, under which the nucleons transform as a 4-dimensional representation, follows as an accidental low energy symmetry. Exploiting SU(4) symmetry allows one to express the 18 independent leading nucleon, delta interaction operators invariant under spin and isospin symmetries in terms of only two couplings. The three flavor analogue allows one to express the 28 leading octet, decuplet interactions also in terms of only two couplings, which has implications for hypernuclei and strangeness in ``neutron'' stars.

Discussion of the form of the Savage-Wise coefficients corrected; reference added

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• Three-Body Interactions Among Nucleons and Pions
• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
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• Decays of $\ell =1$ Baryons --- Quark Model versus Large-$N_c$
• Baryon Magnetic Moments in the 1/N Expansion
• Constraints from $b\to s\gamma$ on gauge-mediated supersymmetry breaking models
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