Excited state baryon spectroscopy from lattice QCD
Abstract
Here, we present a calculation of the Nucleon and Delta excited state spectrum 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 $SU(6) Ⓧ O(3)$ representations and a counting of levels that is consistent with the non-relativistic $qqq$ 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:
-
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept of Physics
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Maryland, College Park, MD (United States). Dept of Physics
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- Contributing Org.:
- Hadron Spectrum Collaboration
- OSTI Identifier:
- 1029187
- Alternate Identifier(s):
- OSTI ID: 1101062
- Report Number(s):
- JLAB-THY-11-1370; DOE/OR/23177-1542; arXiv:1104.5152
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1105657
- Grant/Contract Number:
- AC05-06OR23177; FG02-93ER-40762
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 7; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BARYON SPECTROSCOPY; BARYONS; CLOVER; CONSTRUCTION; CUBIC LATTICES; EXCITED STATES; NUCLEONS; PARITY; QUANTUM CHROMODYNAMICS; QUARK MODEL; SYMMETRY
Citation Formats
Robert G. Edwards, Dudek, Jozef J., Richards, David G., and Wallace, Stephen J. Excited state baryon spectroscopy from lattice QCD. United States: N. p., 2011.
Web. doi:10.1103/PhysRevD.84.074508.
Robert G. Edwards, Dudek, Jozef J., Richards, David G., & Wallace, Stephen J. Excited state baryon spectroscopy from lattice QCD. United States. https://doi.org/10.1103/PhysRevD.84.074508
Robert G. Edwards, Dudek, Jozef J., Richards, David G., and Wallace, Stephen J. Mon .
"Excited state baryon spectroscopy from lattice QCD". United States. https://doi.org/10.1103/PhysRevD.84.074508. https://www.osti.gov/servlets/purl/1029187.
@article{osti_1029187,
title = {Excited state baryon spectroscopy from lattice QCD},
author = {Robert G. Edwards and Dudek, Jozef J. and Richards, David G. and Wallace, Stephen J.},
abstractNote = {Here, we present a calculation of the Nucleon and Delta excited state spectrum 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 $SU(6) Ⓧ O(3)$ representations and a counting of levels that is consistent with the non-relativistic $qqq$ 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, Gravitation and Cosmology},
number = 7,
volume = 84,
place = {United States},
year = {Mon Oct 31 00:00:00 EDT 2011},
month = {Mon Oct 31 00:00:00 EDT 2011}
}
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Figures / Tables:
TABLE I: The lattice data sets and propagators used in this paper. The light and strange quark mass as well as the $Ω$ baryon mass in temporal lattice units are shown. The pion mass, lattice size and number of con gurations are listed, as well as the number of time-sourcesmore »
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