{"arxiv_id":"hep-lat/0209124","title":"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 L\\\"uscher. 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 $0 < p^2 < 0.3 {\\rm GeV}^2$.","primary_cat":"hep-lat","cross_cats":[],"submitted_at":"2002-09-15T06:58:38+00:00","latest_version":3,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":null,"confidence":null,"one_line_summary":null,"novelty_score":null,"correctness_risk":null,"formal_verification":null,"upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":6,"_links":{"html":"https://pith.science/paper/hep-lat/0209124","verdict":"/api/v1/verdicts/hep-lat/0209124"}}