{"paper":{"title":"Annihilation Rates of Heavy $1^{--}$ S-wave Quarkonia in Salpeter Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Guo-Li Wang, Hui-feng Fu, Xiang-Jun Chen","submitted_at":"2010-06-19T22:02:34Z","abstract_excerpt":"The annihilation rates of vector $1^{--}$ charmonium and bottomonium $^3S_1$ states $V \\rightarrow e^+e^-$ and $V\\rightarrow 3\\gamma$, $V \\rightarrow \\gamma gg$ and $V \\rightarrow 3g$ are estimated in the relativistic Salpeter method. We obtained $\\Gamma(J/\\psi\\rightarrow 3\\gamma)=6.8\\times 10^{-4}$ keV, $\\Gamma(\\psi(2S)\\rightarrow 3\\gamma)=2.5\\times 10^{-4}$ keV, $\\Gamma(\\psi(3S)\\rightarrow 3\\gamma)=1.7\\times 10^{-4}$ keV, $\\Gamma(\\Upsilon(1S)\\rightarrow 3\\gamma)=1.5\\times 10^{-5}$ keV, $\\Gamma(\\Upsilon(2S)\\rightarrow 3\\gamma)=5.7\\times 10^{-6}$ keV, $\\Gamma(\\Upsilon(3S)\\rightarrow 3\\gamma)=3"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3898","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"}