Baryon-Pion Couplings from Large-N QCD
Roger Dashen, Aneesh V. Manohar
Abstract
We derive a set of consistency conditions for the pion-baryon coupling constants in the large-N 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(2Nf) spin-flavor symmetry (where Nf is the number of light flavors) is a symmetry of the baryon-pion couplings in the large-N limit of QCD. The symmetry breaking corrections to the pion-baryon couplings vanish to first order in 1/N. Consistency conditions for other couplings, such as the magnetic moments are also derived.
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