skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Baryonic mass formula in large N{sub c} QCD versus quark model

Abstract

We establish a connection between the quark model results and the 1/N{sub c} expansion mass formula used in the description of baryon resonances. We show that a remarkable compatibility exists between the two methods.

Authors:
;  [1]; ;  [2]
  1. Groupe de Physique Nucleaire Theorique, Universite de Mons-Hainaut, Academie universitaire Wallonie-Bruxelles, Place du Parc 20, BE-7000 Mons (Belgium)
  2. University of Liege, Institute of Physics B5, Sart Tilman, B-4000 Liege 1 (Belgium)
Publication Date:
OSTI Identifier:
21020514
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.75.096001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; MASS FORMULAE; QUANTUM CHROMODYNAMICS; QUARK MODEL; RESONANCE PARTICLES

Citation Formats

Semay, Claude, Buisseret, Fabien, Matagne, Nicolas, and Stancu, Florica. Baryonic mass formula in large N{sub c} QCD versus quark model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.096001.
Semay, Claude, Buisseret, Fabien, Matagne, Nicolas, & Stancu, Florica. Baryonic mass formula in large N{sub c} QCD versus quark model. United States. doi:10.1103/PHYSREVD.75.096001.
Semay, Claude, Buisseret, Fabien, Matagne, Nicolas, and Stancu, Florica. Tue . "Baryonic mass formula in large N{sub c} QCD versus quark model". United States. doi:10.1103/PHYSREVD.75.096001.
@article{osti_21020514,
title = {Baryonic mass formula in large N{sub c} QCD versus quark model},
author = {Semay, Claude and Buisseret, Fabien and Matagne, Nicolas and Stancu, Florica},
abstractNote = {We establish a connection between the quark model results and the 1/N{sub c} expansion mass formula used in the description of baryon resonances. We show that a remarkable compatibility exists between the two methods.},
doi = {10.1103/PHYSREVD.75.096001},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 75,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}
  • A previous work establishing a connection between a quark model, with relativistic kinematics and a Y-confinement plus one gluon exchange, and the 1/N{sub c} expansion mass formula is extended to strange baryons. Both methods predict values for the SU(3)-breaking mass terms which are in good agreement with each other. Strange and nonstrange baryons are shown to exhibit Regge trajectories with an equal slope, but with an intercept depending on the strangeness. Both approaches agree on the value of the slope and of the intercept, and on the existence of a single good quantum number labeling the baryons within a givenmore » Regge trajectory.« less
  • Cited by 4
  • Cited by 14
  • We study hadronic two-body decays of the orbitally excited, SU(6) 70-plet baryons in order to test the hypothesis that the successes of the nonrelativistic quark model have a natural explanation in the large-[ital N][sub [ital c]] limit of QCD. By working in a Hartree approximation, we isolate a specific set of operators that contribute to the observed [ital s]- and [ital d]-wave decays in leading order in 1/[ital N][sub [ital c]]. We fit our results to the current experimental decay data, and make predictions for a number of allowed but unobserved modes. Our tentative conclusion is that there is moremore » to the nonrelativistic quark model of baryons than large [ital N][sub [ital c]].« less
  • Recently, the 1/N{sub c} expansion has been applied to the study of exotic baryons containing both quarks and antiquarks. We extend this approach to exotic states with mixed-symmetric spin-flavor symmetry, which correspond in the quark model to negative parity pentaquarks, and discuss the large N{sub c} predictions for their mass spectrum. The heavy exotics Qq{sup 4} transform as 3,6,15 and 15{sup '} under SU(3), while the light states qq{sup 4} include the exotic multiplets 10,27,35. We give mass relations among these multiplets in the 1/N{sub c} expansion. In the quark model, the mass splittings between these states are given bymore » color-spin interactions. Using the observation of an anticharmed exotic by the H1 Collaboration, we give predictions for the masses of other expected heavy pentaquarks.« less