Baryon-Pion Couplings from Large-N QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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(12 pages, 2 figs, uses harvmac and uufiles), UCSD/PTH 93-16

Scientific paper

10.1016/0370-2693(93)91635-Z

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 $SU(2N_f)$ spin-flavor symmetry (where $N_f$ is the number of light flavors) is a symmetry of the baryon-pion couplings in the large-N 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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