Matrix elements of generators for baryons with arbitrary quarks in mixed symmetric states

2008/12/31 by N. Matagne, Nicolas Matagne, Fl. Stancu · 10 citations
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Excited state #Matrix (chemical analysis) #Nuclear physics #Omega baryon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Quark model #Strange quark #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2009.05.092

published in Nuclear Physics A 826(1-2), 161-177 (Elsevier BV) · 18 pages, 5 tables, 1 figure, version of the article in press, Nucl. Phys. A (2009)

openalex publication_date 2009/05/31 · arxiv created 2009/06/08 · arxiv updated 2010/04/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive general analytic formulae for the matrix elements of the SU(6) generators for mixed symmetric [N_c-1,1] spin-flavor states with an arbitrary number N_c of quarks. They are relevant for baryon spectroscopy in the 1/N_c expansion method applied to light baryons and can be used to study excited states. In this way previous work on non-strange baryons can be extended to both non-strange and strange baryons.

Citations

• LARGE-Nc BARYONS
• The Octet Model and its Clebsch-Gordan Coefficients
• A planar diagram theory for strong interactions
• Wave function of[70,1−]baryons in the1/Ncexpansion

Cited by

• [70,ℓ+]baryons in largeNcQCD revisited: The effect on Regge trajectories
• Group theoretical study of nonstrange and strange mixed symmetric baryon states[Nc−1,1]in the1/Ncexpansion
• SU(3) flavor symmetry breaking in large Nc excited hyperons