Baryon Operators and Baryon Spectroscopy

Abstract

The issues involved in a determination of the baryon resonance spectrum in lattice QCD are discussed. The variational method is introduced and the need to construct a sufficient basis of interpolating operators is emphasised. The construction of baryon operators using group-theory techniques is outlined. We find that the use both of quark-field smearing and link-field smearing in the operators is essential firstly to reduce the coupling of operators to high-frequency modes and secondly to reduce the gauge-field fluctuations in correlators. We conclude with a status report of our current investigation of baryon spectroscopy.

Invited talk at Workshop on Computational Hadron Physics, Cyprus, Sept. 14-17, 2005

References in corpus (10)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Chroma Software System for Lattice QCD
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• The Anisotropic Wilson Gauge Action
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons
• Group-theoretical construction of extended baryon operators in lattice QCD
• Spatially improved operators for excited hadrons on the lattice
• Analysis of $N^{\star }$ spectra using matrices of correlation functions based on irreducible baryon operators

Cited by in corpus (5)

• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• Light Hadron Masses from Lattice QCD
• Excited hadrons on the lattice: Baryons
• Isolating Excited States of the Nucleon in Lattice QCD
• Isolating the Roper Resonance in Lattice QCD