I=2 Pion Scattering Length from Two-Pion Wave Function

Abstract

We present a preliminary report on a calculation of scattering length for I=2 $S$-wave two-pion system directly from the two-pion wave function. Results are compared with those calculated from the time dependence of two-pion four-point functions. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at $a^{-1}=1.207(12)$ GeV on $20^3\times 48$ and $24^3\times 48$ lattices.

Lattice2003(spectrum). 3 pages, 4 figures

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• 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
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• Topics in Lattice QCD and Effective Field Theory
• Two-particle wave function in four dimensional Ising model