$I=2$ pion scattering amplitude with Wilson fermions

Abstract

We present an exploratory calculation of the $I=2$ $\pi -\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of chiral perturbation theory even for pions of mass 560-700 MeV. Within the 10\% errors, we do not see the onset of the bad chiral behavior expected for Wilson fermions. We also derive rigorous inequalities that apply to 2-particle correlators and as a consequence show that the interaction in the antisymmetric state of two pions has to be attractive.

This PS file includes 4 tables and figures 1-8 on 25 pages. Los Alamos Preprint Number LAUR-92-3641

References in corpus (2)

• Phenomenology with Wilson fermions using smeared sources
• The Kaon $B$-parameter with Wilson Fermions

Cited by in corpus (65)

• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Scattering processes and resonances from lattice QCD
• Insight into the Scalar Mesons from a Lattice Calculation
• Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice
• Hadron Scattering Lengths in Lattice QCD
• Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Exploring Hyperons and Hypernuclei with Lattice QCD
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Two Particle States in an Asymmetric Box and the Elastic Scattering Phases
• I=2 Pion Scattering Length from Two-Pion Wave Functions
• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum from lattice QCD
• Generalized Lüscher Formula in Multi-channel Baryon-Meson Scattering
• Finite-volume two-pion energies and scattering in the quenched approximation
• The K+K+ Scattering Length from Lattice QCD
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Finite volume corrections to pi-pi scattering
• An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
• Studying the $\rho$ resonance parameters with staggered fermions
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• Calculating the I=2 Pion Scattering Length Using Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• A cross-channel study of pion scattering from lattice QCD
• Two Particle States in an Asymmetric Box
• I=2 Pion Scattering Phase Shift with Wilson Fermions
• Meson-Meson Scattering in the Quark Model: Spin Dependence and Exotic Channels
• Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-ϕ^4 theory
• Signatures of S-wave bound-state formation in finite volume
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Hadronic Interactions from Lattice QCD
• Pion scattering in the isospin I=2 channel from elongated lattices
• Lattice study on $\pi K$ scattering with moving wall source
• Nucleon-Nucleon Interactions on the Lattice
• I=2 Pion Scattering Length with the Wilson Fermion
• Multiparticle States and the Hadron Spectrum on the Lattice
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Quark mass dependence of $\pi \pi$ scattering in isospin 0, 1, and 2 from lattice QCD
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Hadron Scattering in an Asymmetric Box
• Pion Scattering in Wilson Chiral Perturbation Theory
• $I=0$ $\pi \pi$ $s$-wave scattering length from lattice QCD
• Pion scattering in Wilson ChPT
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• The Lambda_Q-Lambda_Q Potential
• $K^{+}\to {\pi }^{+}{\pi }^0$ Decay Amplitude with the Wilson Quark Action in Quenched Lattice QCD
• Connected and Disconnected Contractions in Pion-Pion Scattering
• Generalized Lüscher's Formula in Multichannel Baryon-Baryon Scattering
• Lowest-lying Tetra-Quark Hadrons in Anisotropic Lattice QCD
• Scalar and Vector 4Q Systems in Anisotropic Lattice QCD
• Instantons and Scalar Multiquark States: From Small to Large N_c
• I=2 Pion Scattering Length from Two-Pion Wave Function
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• Comparison of Lattice and Chiral Perturbation Theory calculations of pion scattering lengths
• QCD inequalities for hadron interactions
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum
• A general study on the volume dependence of spectral weights in lattice field theory
• Topics in Effective Field Theory for Lattice QCD
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• How good is the quenched approximation of QCD?
• Topics in Lattice QCD and Effective Field Theory
• f(2010) in Lattice QCD