Ordering of Spin-$\frac{1}{2}$ Excitations of the Nucleon in Lattice QCD

Abstract

We present results for the negative parity low-lying state of the nucleon, $N{\frac{1}{2}}^{-}$ (1535 MeV) ${\mathrm{S}}_{11}$, from a variational analysis method. The analysis is performed in quenched QCD with the FLIC fermion action. The principal focus of this paper is to explore the level ordering between the Roper (${\mathrm{P}}_{11}$) and the negative parity ground (${\mathrm{S}}_{11}$) states of the nucleon. Evidence of the physical level ordering is observed at light quark masses. A wide variety of smeared-smeared correlation functions are used to construct correlation matrices. A comprehensive correlation matrix analysis is performed to ensure an accurate isolation of the $N{\frac{1}{2}}^{-}$ state.

9 pages

References in corpus (6)

• Ab-initio Determination of Light Hadron Masses
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Lattice QCD determination of patterns of excited baryon states
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• Positive-parity Excited-states of the Nucleon in Quenched Lattice QCD
• Isolating the Roper Resonance in Lattice QCD

Cited by in corpus (5)

• Light Hadron Masses from Lattice QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Electromagnetic Transition Form Factors of Baryon Resonances
• Positive-parity Excited-states of the Nucleon in Quenched Lattice QCD
• The Positive-Parity Baryon Spectrum and the Role of Hybrid Baryons