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Title: Excited state baryon spectroscopy from lattice QCD

Abstract

We present a calculation of the Nucleon and Delta excited state spectra on dynamical anisotropic clover lattices. A method for operator construction is introduced that allows for the reliable identification of the continuum spins of baryon states, overcoming the reduced symmetry of the cubic lattice. Using this method, we are able to determine a spectrum of single-particle states for spins up to and including J=(7/2), of both parities, the first time this has been achieved in a lattice calculation. We find a spectrum of states identifiable as admixtures of SU(6) x O(3) representations and a counting of levels that is consistent with the nonrelativistic qqq constituent quark model. This dense spectrum is incompatible with quark-diquark model solutions to the 'missing resonance problem' and shows no signs of parity doubling of states.

Authors:
;  [1];  [1];  [2];  [3]
  1. Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
  2. (United States)
  3. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
Publication Date:
OSTI Identifier:
21607803
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.074508; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; BARYON SPECTROSCOPY; CUBIC LATTICES; EXCITED STATES; NUCLEONS; O GROUPS; QUANTUM CHROMODYNAMICS; QUARK MODEL; QUARKS; RESONANCE; SPECTRA; SPIN; SU-6 GROUPS; SYMMETRY; ANGULAR MOMENTUM; BARYONS; COMPOSITE MODELS; CRYSTAL LATTICES; CRYSTAL STRUCTURE; DYNAMICAL GROUPS; ELEMENTARY PARTICLES; ENERGY LEVELS; FERMIONS; FIELD THEORIES; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SPECTROSCOPY; SU GROUPS; SYMMETRY GROUPS

Citation Formats

Edwards, Robert G., Richards, David G., Dudek, Jozef J., Department of Physics, Old Dominion University, Norfolk, Virginia 23529, and Wallace, Stephen J. Excited state baryon spectroscopy from lattice QCD. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.074508.
Edwards, Robert G., Richards, David G., Dudek, Jozef J., Department of Physics, Old Dominion University, Norfolk, Virginia 23529, & Wallace, Stephen J. Excited state baryon spectroscopy from lattice QCD. United States. doi:10.1103/PHYSREVD.84.074508.
Edwards, Robert G., Richards, David G., Dudek, Jozef J., Department of Physics, Old Dominion University, Norfolk, Virginia 23529, and Wallace, Stephen J. Sat . "Excited state baryon spectroscopy from lattice QCD". United States. doi:10.1103/PHYSREVD.84.074508.
@article{osti_21607803,
title = {Excited state baryon spectroscopy from lattice QCD},
author = {Edwards, Robert G. and Richards, David G. and Dudek, Jozef J. and Department of Physics, Old Dominion University, Norfolk, Virginia 23529 and Wallace, Stephen J.},
abstractNote = {We present a calculation of the Nucleon and Delta excited state spectra on dynamical anisotropic clover lattices. A method for operator construction is introduced that allows for the reliable identification of the continuum spins of baryon states, overcoming the reduced symmetry of the cubic lattice. Using this method, we are able to determine a spectrum of single-particle states for spins up to and including J=(7/2), of both parities, the first time this has been achieved in a lattice calculation. We find a spectrum of states identifiable as admixtures of SU(6) x O(3) representations and a counting of levels that is consistent with the nonrelativistic qqq constituent quark model. This dense spectrum is incompatible with quark-diquark model solutions to the 'missing resonance problem' and shows no signs of parity doubling of states.},
doi = {10.1103/PHYSREVD.84.074508},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}