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arXiv · hep-ph/9704235

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

C. S. Lam·K. F. Liu
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Abstract

We study the pion-baryon scattering process $π+B \to (n-1)π+B$ 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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C. S. Lam, K. F. Liu. 1997-04-04. Consistency of the Baryon-Multimeson Amplitudes for Large-N_c QCD. https://doi.org/10.1103/physrevlett.79.597

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