{"paper":{"title":"Decays $f_1 \\to a_0 \\pi,\\pi \\pi \\pi(\\eta)$ and $f_1 \\to K K \\pi$ in the chiral $U(3) \\times U(3)$ quark NJL model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.A. Pivovarov, K. Nurlan, M.K. Volkov","submitted_at":"2025-06-08T10:04:15Z","abstract_excerpt":"The branching fractions of the axial vector meson decays $f_1 \\to a_0 \\pi,\\pi\\pi\\eta$, $f_1 \\to \\rho \\pi,\\pi\\pi\\pi$ and $f_1 \\to KK\\pi$ are calculated in the standard $U(3) \\times U(3)$ quark NJL model. The intermediate channels with the states $a_0(980)\\pi$ and $f_0(500)\\eta$ are taken into account in the decay $f_1 \\to \\pi\\pi\\eta$. In the case of the scalar mesons, the $\\bar{q}q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_1 \\to \\rho \\pi$ and $f_1 \\to3\\pi$ occur due to the mass difference of the $u$ and $d$ quarks. All the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07065","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.07065/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"}