Consistency of the baryon-multimeson amplitudes for large- Nc QCD feynman diagrams

C. S. Lam; K. F. Liu

doi:10.1103/PhysRevLett.79.597

Consistency of the baryon-multimeson amplitudes for large- N_c QCD feynman diagrams

C. S. Lam
, K. F. Liu

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We study the pion-baryon scattering process π + B → (n − 1)π + B in a QCD theory with a large number (N_c) of colors. It is known that this scattering amplitude 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_cto be canceled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.

Original language	English
Pages (from-to)	597-600
Number of pages	4
Journal	Physical Review Letters
Volume	79
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.79.597
State	Published - Jan 1 1997

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.79.597

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title = "Consistency of the baryon-multimeson amplitudes for large- Nc QCD feynman diagrams",

abstract = "We study the pion-baryon scattering process π + B → (n − 1)π + B in a QCD theory with a large number (Nc) of colors. It is known that this scattering amplitude decreases with Nc like Nc1-n/2, and that its individual tree diagrams grow like Ncn/2. The only way these two can be consistent is for n − 1 powers of Ncto be canceled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.",

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T1 - Consistency of the baryon-multimeson amplitudes for large- Nc QCD feynman diagrams

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AU - Liu, K. F.

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N2 - We study the pion-baryon scattering process π + B → (n − 1)π + B in a QCD theory with a large number (Nc) of colors. It is known that this scattering amplitude decreases with Nc like Nc1-n/2, and that its individual tree diagrams grow like Ncn/2. The only way these two can be consistent is for n − 1 powers of Ncto be canceled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.

AB - We study the pion-baryon scattering process π + B → (n − 1)π + B in a QCD theory with a large number (Nc) of colors. It is known that this scattering amplitude decreases with Nc like Nc1-n/2, and that its individual tree diagrams grow like Ncn/2. The only way these two can be consistent is for n − 1 powers of Ncto be canceled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.

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JO - Physical Review Letters

JF - Physical Review Letters

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Consistency of the baryon-multimeson amplitudes for large- N_c QCD feynman diagrams

Abstract

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