1997/04/04 by C. S. Lam, K. F. Liu · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.79.597
published as Phys.Rev.Lett. 79 (1997) 597-600 · latex file with two postscript figures
arxiv created 1997/04/04 · openalex publication_date 1997/07/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the pion-baryon scattering process \ensuremathπ+B\ensuremath→(n\ensuremath-1)\ensuremathπ+B in a QCD theory with a large number ( Nc) of colors. It is known that this scattering amplitude decreases with Nc like Nc^1\ensuremath-n/2, and that its individual tree diagrams grow like Ncn/2. The only way these two can be consistent is for n\ensuremath-1 powers of Nc to be canceled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.