Pion photoproduction amplitude relations in the1/Ncexpansion

2004/12/20 by Thomas D. Cohen, Daniel C. Dakin, Richard F. Lebed +1 · 19 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.71.076010

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(7) (American Physical Society) · 19 pages, ReVTeX, 50 eps files combine into 5 compound figures

arxiv created 2004/12/20 · openalex publication_date 2005/04/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive expressions for pion photoproduction amplitudes in the 1/N_c expansion of QCD, and obtain linear relations directly from this expansion that relate electromagnetic multipole amplitudes at all energies. The leading-order relations in 1/N_c compare favorably with available data, while the next-to-leading-order relations seem to provide only a small improvement. However, when resonance parameters are compared directly, the agreement at O(1/N_c) or O(1/N_c²) is impressive.

Citations

• Compatibility of quark and resonant picture excited baryon multiplets in the1/Ncexpansion of QCD
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Phenomenology of the baryon resonance 70-plet at largeNc
• The large Nc baryon–meson It=Jt rule holds for three flavors