{"paper":{"title":"I=2 Pion Scattering Length from Two-Pion Wave Function","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Ukawa, CP-PACS Collaboration : S. Aoki, K-I. Ishikawa, K. Kanaya, M. Fukugita, M. Okawa, N. Ishizuka, T. Kaneko, T. Yamazaki, T. Yoshi\\'e, Y. Iwasaki, Y. Kuramashi","submitted_at":"2004-09-14T09:14:32Z","abstract_excerpt":"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 $16^3 \\times 80$, $20^3 \\times 80$ and $24^3 \\times 80$ lattices. We investigate the validity of necessary condition for application of L\\\"uscher's formula through the wave function. We find that the condition is satisfied for lattice volumes $L\\ge 3.92 {\\rm fm}$ for the quark mass range $m_\\pi^2 = 0.273-0.736 {\\rm GeV}^2$. We also find that the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0409063","kind":"arxiv","version":1},"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"}