{"paper":{"title":"Dispersive analysis of the isospin breaking in the $X(3872)~\\to~J/\\psi \\pi^+\\pi^-$ and $X(3872)~\\to~J/\\psi \\pi^+\\pi^0\\pi^-$ decays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Christoph Hanhart, Feng-Kun Guo, Jorgivan Morais Dias, Teng Ji, Ulf-G. Mei{\\ss}ner, Xiang-Kun Dong, Yu Zhang, Zhen-Hua Zhang","submitted_at":"2024-09-20T06:09:55Z","abstract_excerpt":"We analyze the latest LHCb data on the $\\pi^+\\pi^-$ spectrum in the isospin-violating $X(3872)\\to J/\\psi \\pi^+\\pi^-$ decay, based on dispersion theory to deal with the $\\pi\\pi$ final state interactions. Additionally, the isospin breaking effects are properly introduced, allowing for a reliable and accurate extraction of the ratio, $R_X$, between the $X(3872)$ couplings to the $J/\\psi \\rho$ and $J/\\psi \\omega$ channels from the data. We find very good agreement with the LHCb data for the whole range of the $\\pi^+\\pi^-$ invariant mass, and $R_X$ is determined to be {$0.26\\pm 0.03$}. Using this v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13245","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.13245/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}