{"paper":{"title":"Preliminary lattice study of $\\sigma$ meson decay width","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Ziwen Fu","submitted_at":"2012-02-27T06:41:12Z","abstract_excerpt":"We report an exploratory lattice investigation of $\\sigma$ meson decay width using s-wave scattering phase for isospin I=0 pion-pion ($\\pi\\pi$) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase, which demonstrate the presence of a resonance around $\\sigma$ meson. Using the effective range formula we extract the effective $\\sigma \\to \\pi\\pi$ coupling constant as $g_{\\sigma \\pi\\pi} = 2.69(44)$ GeV, which is consistent with theoretical predictions. The estimated decay width is about $236 \\pm 49$ MeV. These simulations are carried out on a $16^3\\times48$ MILC gauge conf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5834","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}