2003/01/31 by Dan Pirjol, Carlos Schat · 62 citations
Chemistry · Physics and Astronomy · #Baryon #Chemistry #Condensed matter physics #Crystallography #Degenerate energy levels #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Spins #hep-ph
paper · pdf · doi:10.1103/physrevd.67.096009
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(9) (American Physical Society) · 15 pages, 5 figures included, final version to appear in Phys.Rev.D. Ref-no: DUKE-TH-03-235
arxiv created 2003/04/29 · openalex publication_date 2003/05/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the large Nc limit, the mass spectrum of the L=1 orbitally excited baryons N* has a very simple structure, with states degenerate in pairs of spins J=((1)/(2),(3)/(2)),((3)/(2),(5)/(2)), corresponding to irreducible representations (towers) of the contracted SU(4)c symmetry group. The mixing angles are completely determined in this limit. Using a mass operator approach, we study 1/Nc corrections to this picture, pointing out a fourfold ambiguity in the correspondence of the observed baryons with the large Nc states. For each of the four possible assignments, we fit the coefficients of the quark operators contributing to the mass spectrum to O(Nc^\ensuremath-1). We comment on the implications of our results for the constituent quark model description of these states.