{"paper":{"title":"Sum rules for interaction of $\\Upsilon$ resonances with $Z_b \\pi$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"M.B. Voloshin","submitted_at":"2016-04-27T19:39:26Z","abstract_excerpt":"The strength of the amplitudes for the coupling between the bottomonium $\\Upsilon(nS)$ states, the bottomonium-like isovector resonances $Z_b$ and a pion, $\\Upsilon(nS) Z_b \\pi$, is considered. These amplitudes describe the decays $Z_b \\to \\Upsilon(nS) \\pi$ for $n=1,\\,2,\\,3$, and the processes $\\Upsilon(nS) \\to Z_b \\pi$ for $n=5,\\,6, \\ldots$ with either $Z_b(10610)$ or $Z_b(10650)$. It is pointed out that analyticity and unitarity impose a sum rule for these couplings to each of the $Z_b$ resonances. With the currently available data it appears to be difficult or impossible to simultaneously s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08196","kind":"arxiv","version":3},"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"}