Scattering in the pion-nucleon negative parity channel in lattice QCD

Abstract

We study the coupled pion-nucleon system (negative parity, isospin 1/2) based on a lattice QCD simulation for nf=2 mass degenerate light quarks. Both, standard 3-quarks baryon operators as well as meson-baryon (4+1)-quark operators are included. This is an exploratory study for just one lattice size and lattice spacing and at a pion mass of 266 MeV. Using the distillation method and variational analysis we determine energy levels of the lowest eigenstates. Comparison with the results of simple 3-quark correlation studies exhibits drastic differences and a new level appears. A clearer picture of the negative parity nucleon spectrum emerges. For the parameters of the simulation we may assume elastic s-wave scattering and can derive values of the phase shift.

12 pages, 12 figures, corrections, final version

References in corpus (15)

• Extended Partial-Wave Analysis of piN Scattering Data
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Excited and exotic charmonium spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• QCD with Two Light Dynamical Chirally Improved Quarks: Baryons
• Resonance parameters of the rho-meson from asymmetrical lattices
• Reweighting towards the chiral limit
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Low-lying Lambda Baryons from the Lattice
• Low-lying Odd-parity States of the Nucleon in Lattice QCD
• Extraction of the resonance parameters at finite times
• A comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data

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