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

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

Access to Document

10.1103/PhysRevLett.79.597

Cite this

@article{d828dff58adb45f199ad76e9638fef65,

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.",

author = "Lam, {C. S.} and Liu, {K. F.}",

year = "1997",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.79.597",

language = "English",

volume = "79",

pages = "597--600",

number = "4",

}

TY - JOUR

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

AU - Lam, C. S.

AU - Liu, K. F.

PY - 1997/1/1

Y1 - 1997/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=4243894817&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243894817&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.79.597

DO - 10.1103/PhysRevLett.79.597

M3 - Article

AN - SCOPUS:4243894817

SN - 0031-9007

VL - 79

SP - 597

EP - 600

JO - Physical Review Letters

JF - Physical Review Letters

IS - 4

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this