{"paper":{"title":"A Lower Bound on Inelasticity in Pion-Pion Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andr\\'e Martin, S. M. Roy","submitted_at":"2017-10-19T13:43:53Z","abstract_excerpt":"Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in $t$- plane with foci $t=0$, $u=0$ and right extremity $t=4 m_{\\pi}^2 +\\epsilon $, ($\\epsilon > 0$), except for cuts prescribed by Mandelstam representation for $t\\geq 4 m_{\\pi}^2$, $u\\geq 4 m_{\\pi}^2$ , and bounded by $s^N$ on the boundary of this domain, we prove that for $s\\rightarrow \\infty$, \\sigma_{inel} (s) > \\frac{Const}{s^{5/2} }\\exp {[-\\frac{\\sqrt{s}}{4} (N+5/2) \\ln {s} ]}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07140","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"}