I=2 Pion Scattering Phase Shift with Wilson Fermions

Abstract

We present a lattice QCD calculation of the scattering phase shift for the I=2 $S$-wave two-pion system using the finite size method proposed by Lüscher. We work in the quenched approximation employing the standard plaquette action at $\beta =5.9$ for gluons and the Wilson fermion action for quarks. The phase shift is extracted from the energy eigenvalues of the two-pion system, which are obtained by a diagonalization of the pion 4-point function evaluated for a set of relative spatial momenta. In order to change momentum of the two-pion system, calculations are carried out on $24^3\times 60$, $32^3\times 60$, and $48^3\times 60$ lattices. The phase shift is successfully calculated over the momentum range $0<p^2<0.3{\mathrm{GeV}}^2$.

LaTeX, 28 pages, 10 eps figures, uses revtex and epsfig

References in corpus (18)

• ππscattering
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Weak transition matrix elements from finite-volume correlation functions
• Elastic $\pi \pi$ scattering to two loops
• Insight into the Scalar Mesons from a Lattice Calculation
• Hadron Scattering Lengths in Lattice QCD
• Quenched Light Hadron Spectrum
• $K\to \pi \pi$ Decays in a Finite Volume
• $I=2$ pion scattering amplitude with Wilson fermions
• Finite-volume two-pion energies and scattering in the quenched approximation
• Calculating the I=2 Pion Scattering Length Using Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-ϕ^4 theory
• Quenched Chiral Perturbation Theory to one loop
• I=2 Pion Scattering Length with the Wilson Fermion
• Resonance Scattering Phase Shifts in a 2-d Lattice Model
• I=2 Pion Scattering Length with Wilson Fermions
• Exploring the pi+ pi+ interaction in lattice QCD
• On the I=2 channel pi-pi interaction in the chiral limit

Cited by in corpus (39)

• Two Nucleons on a Lattice
• Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• Electroweak Matrix Elements in the Two-Nucleon Sector from Lattice QCD
• 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
• Generalized Lüscher Formula in Multi-channel Baryon-Meson Scattering
• The pole structure of the unitary, crossing symmetric low energy $\pi \pi$ scattering amplitudes
• The K+K+ Scattering Length from Lattice QCD
• Scattering lengths for two pseudoscalar meson systems
• Finite volume corrections to pi-pi scattering
• Two Particle States in an Asymmetric Box
• Signatures of S-wave bound-state formation in finite volume
• Hadronic Interactions from Lattice QCD
• Multiparticle States and the Hadron Spectrum on the Lattice
• I=2 $\pi \pi$ scattering using G-parity boundary condition
• Lattice study of K pi scattering in I = 3/2 and 1/2
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Hadron Scattering in an Asymmetric Box
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• I=2 Two-Pion Wave Function and Scattering Phase Shift
• Generalized Lüscher's Formula in Multichannel Baryon-Baryon Scattering
• New results on cut-off effects in spectroscopy with the fixed point action
• I=2 Pion Scattering Length from Two-Pion Wave Function
• Progress in Kaon Physics on the Lattice
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• 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
• Volume Dependence of Spectral Weights for Unstable Particles in a Solvable Model
• Topics in Effective Field Theory for Lattice QCD
• A general study on the volume dependence of spectral weights in lattice field theory
• Two-particle wave function in four dimensional Ising model
• Topics in Lattice QCD and Effective Field Theory
• Low Energy Continuum and Lattice Effective Field Theories