2003/06/12 by Thomas D. Cohen, Richard F. Lebed · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.68.056003
published as Phys.Rev. D68 (2003) 056003 · 16 pages, Revtex4
arxiv created 2003/06/12 · openalex publication_date 2003/09/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We demonstrate that the two major complementary pictures of large Nc baryon resonances---as single-quark orbital excitations about a closed-shell core [giving SU(2NF)\ifmmode×\else\texttimes\fiO(3) multiplets], and as resonances in meson-baryon scattering amplitudes---are completely compatible in a specific sense: Both pictures give rise to a set of multiplets of degenerate states, for which any complete spin-flavor multiplet within one picture fills the quantum numbers of complete multiplets in the other picture. This result is demonstrated by (i) straightforward computation of the lowest multiplets in both pictures, (ii) a study of the nature of quark excitations in a hedgehog picture, and (iii) direct group-theoretical comparison of the constraints in the two pictures.