2004/09/14 by CP-PACS Collaboration, S. Aoki, PACS Collaboration +23
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.hep-lat/0409063
openalex publication_date 2004/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We present a report on a calculation of scattering length for I=2 S-wave two-pion system from two-pion wave function. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at a-1=1.207(12) \rm GeV on 163 × 80, 203 × 80 and 243 × 80 lattices. We investigate the validity of necessary condition for application of Lüscher's formula through the wave function. We find that the condition is satisfied for lattice volumes L≥ 3.92 \rm fm for the quark mass range mπ2 = 0.273-0.736 \rm GeV2. We also find that the scattering length can be extracted with a smaller statistical error from the wave function than with a time correlation function used in previous studies.