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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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latex file with two postscript figures

Scientific paper

10.1103/PhysRevLett.79.597

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.

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