Consistency of the Baryon-Multimeson Amplitudes for Large-Nc QCD
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 amplitudes 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 Nc to be cancelled when the Feynman diagrams are summed. We prove this to be true in tree order for any n.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.