Lattice QCD determination of patterns of excited baryon states

Abstract

Energies for excited isospin I=1/2 and I=3/2 states that include the nucleon and Delta families of baryons are computed using quenched, anisotropic lattices. Baryon interpolating field operators that are used include nonlocal operators that provide G_2 irreducible representations of the octahedral group. The decomposition of spin 5/2 or higher spin states is realized for the first time in a lattice QCD calculation. We observe patterns of degenerate energies in the irreducible representations of the octahedral group that correspond to the subduction of the continuum spin 5/2 or higher. The overall pattern of low-lying excited states corresponds well to the pattern of physical states subduced to the irreducible representations of the octahedral group.

arXiv comment14 pages, 5 figures

References in corpus (17)

• High-Precision Lattice QCD Confronts Experiment
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Quenched Light Hadron Spectrum
• The Anisotropic Wilson Gauge Action
• Heavy Quarks on Anisotropic Lattices: The Charmonium Spectrum
• Excited hadrons on the lattice: Baryons
• Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons
• A study of pentaquarks on the lattice with overlap fermions
• Group-theoretical construction of extended baryon operators in lattice QCD
• Spin-3/2 Nucleon and Delta Baryons in Lattice QCD
• Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect and Hyperfine Mass Splitting
• Extracting excited states from lattice QCD: the Roper resonance
• The D234 action for light quarks
• Finite Temperature Gauge Theory on Anisotropic Lattices
• Direct determination of the gauge coupling derivatives for the energy density in lattice QCD
• Spin-3/2 baryons from an anisotropic lattice QCD action
• Analysis of $N^{\star }$ spectra using matrices of correlation functions based on irreducible baryon operators

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