Spin-3/2 Nucleon and Delta Baryons in Lattice QCD

Abstract

We present first results for masses of spin-3/2 N and Delta baryons in lattice QCD using Fat-Link Irrelevant Clover (FLIC) fermions. Spin-3/2 interpolating fields providing overlap with both spin-3/2 and spin-1/2 states are considered. In the isospin-1/2 sector, we observe, after appropriate spin and parity projection, a strong signal for the J^P=3/2^- state together with a weak but discernible signal for the 3/2^+ state with a mass splitting near that observed experimentally. We also find good agreement between the 1/2^+/- masses and earlier nucleon mass simulations with the standard spin-1/2 interpolating field. For the isospin-3/2 Delta states, clear mass splittings are observed between the various 1/2^+/- and 3/2^+/- channels, with the calculated level orderings in good agreement with those observed empirically.

17 pages, 8 figures, 2 tables

References in corpus (25)

• The Spectrum of the Nucleons and the Strange Hyperons and Chiral Dynamics
• Decuplet Baryon Structure from Lattice QCD
• Accurate Scale Determinations for the Wilson Gauge Action
• Quenched Chiral Perturbation Theory for Baryons
• Chiral Analysis of Quenched Baryon Masses
• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• Masses of the 70- Baryons in Large Nc QCD
• Highly-improved lattice field-strength tensor
• Hadron Masses From Novel Fat-Link Fermion Actions
• Accelerating Wilson Fermion Matrix Inversions by Means of the Stabilized Biconjugate Gradient Algorithm
• Excited Baryons in Lattice QCD
• Chiral Behaviour of the Rho Meson in Lattice QCD
• Nucleon Properties from Unconventional Interpolating Fields
• Critique of a Pion Exchange Model for Interquark Forces
• Simple Observables from Fat Link Fermion Actions
• 1/Nc corrections to the SU(4)_c symmetry for L=1 baryons: The Three Towers
• Negative-Parity Baryon Spectroscopy
• Negative-parity Baryon Masses using an O(a)-improved Fermion Action
• Excited nucleon spectrum using a non-perturbatively improved clover fermion action
• N* Mass Spectrum from an Anisotropic Action
• N* Spectrum using an O(a)-Improved Fermion Action
• Cooling for instantons and the Wrath of Nahm
• N* Masses from an Anisotropic Lattice QCD Action
• Novel fat-link fermion actions

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