Consistency of the Baryon-Multimeson Amplitudes for Large-N_c QCD

Abstract

We study the pion-baryon scattering process $\pi +B\to (n-1)\pi +B$ in a QCD theory with a large number (N_c) of colors. It is known that this scattering amplitudes decreases with N_c like N_c^{1-n/2}, and that its individual tree diagrams grow like N_c^{n/2}. The only way these two can be consistent is for n-1 powers of N_c to be cancelled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.

latex file with two postscript figures

References in corpus (1)

• Large-N Baryons, Chiral Loops, and the Emergence of the Constituent Quark

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