2010/01/31 by N. Matagne, Nicolas Matagne, Fl. Stancu · 1 citation
Physics and Astronomy · #Baryon #Excited state #Hadron #High-Energy Particle Collisions Research #Isoscalar #Mathematical physics #Multiplet #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Spectral line #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.81.116002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 81(11) (American Physical Society) · 19 pages, 7 tables, comments added in the introduction and in the section 3, to be published in Phys. Rev. D
arxiv created 2010/05/14 · openalex publication_date 2010/06/16 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using group theory arguments we extend and complete our previous work by deriving all SU(6) exact wave functions associated with the spectrum of mixed symmetric baryon states [Nc\ensuremath-1,1] in the 1/Nc expansion. The extension to SU(6) enables us to study the mass spectra of both strange and nonstrange baryons, while previous work was restricted to nonstrange baryons described by SU(4). The wave functions are specially written in a form to allow a comparison with the approximate, customarily used wave functions, where the system is separated into a ground state core and an excited quark. We show that the matrix elements of the flavor operator calculated with the exact wave functions acquire the same asymptotic form at large Nc, irrespective of the spin-flavor multiplet contained in [Nc\ensuremath-1,1], while with the approximate wave function one cannot obtain a similar behavior. The isoscalar factors of the permutation group of Nc particles derived here can be used in any problem where a given fermion system is described by the partition [Nc\ensuremath-1,1], and one fermion has to be separated from the rest.