BARYON-PION COUPLINGS FROM LARGE-NC QCD

We derive a set of consistency conditions for the pion-baryon coupling constants in the large-N(c) limit of QCD. The consistency conditions have a unique solution which are precisely the values for the pion-baryon coupling constants in the Skyrme model. We also prove that non-relativistic SU (2N(f)) spin-flavor symmetry (where N(f) is the number of light flavors) is a symmetry of the baryon-pion couplings in the large-N(c) limit of QCD. The symmetry breaking corrections to the pion-baryon couplings vanish to first order in I/N(c). Consistency conditions for other couplings, such as the magnetic moments are also derived.