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The $\\pi\\pi$ and $K\\pi$ pairs are produced via the P-wave resonances $\\rho(770)$, $\\rho(1450)$, $\\rho(1700)$, and $K^*(892)$, parametrized by the Gounaris-Sakurai and relativistic Breit-Wigner models.\n  The dominant $\\rho(770)$ channels yield $\\mathcal{B}(B_c^+ \\to \\chi_{c0} \\pi^+\\pi^0) = 3.24 \\times 10^{-3}$ and $\\mathcal{B}(B_c^+ \\to \\chi_{c1} \\pi^+\\pi^0) = 4.19 \\times 10^{-3}$, with constructive $\\rho$ interference contributing $\\sim 25\\%$ of t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.23163","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-07-25T11:37:29Z","cross_cats_sorted":[],"title_canon_sha256":"a038cf1c9a53df14b67278eff65737ee338ddae0b007257e14cd0edf85caa125","abstract_canon_sha256":"c250871aef273a6ffba41736d14edc959e52779273d7eed04dde308c9a687d55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:22:10.005506Z","signature_b64":"1W792NF/oGxndWefgvoGx3BU2Ggko0cjZFqXNk+av4GZIP5I6fInIbs10fUABP7UwN1RC6XcfiJZDjzalvxgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90b43be3f22bdeb8cf6c507c468f00696379a5d082f86948201a5ae9f6a0d927","last_reissued_at":"2026-07-28T01:22:10.004672Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:22:10.004672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-two-body decays $B_c^+ \\to \\chi_{c0,c1} [\\rho(K^*) \\to] \\pi\\pi(K\\pi)$ in the PQCD approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jun Deng, Xian-Qiao Yu","submitted_at":"2026-07-25T11:37:29Z","abstract_excerpt":"We study the quasi-two-body decays $B_c^+ \\to \\chi_{c0,c1} [\\rho(K^*) \\to] \\pi^+\\pi^0(K^0\\pi^+)$ in the perturbative QCD framework at leading order. The $\\pi\\pi$ and $K\\pi$ pairs are produced via the P-wave resonances $\\rho(770)$, $\\rho(1450)$, $\\rho(1700)$, and $K^*(892)$, parametrized by the Gounaris-Sakurai and relativistic Breit-Wigner models.\n  The dominant $\\rho(770)$ channels yield $\\mathcal{B}(B_c^+ \\to \\chi_{c0} \\pi^+\\pi^0) = 3.24 \\times 10^{-3}$ and $\\mathcal{B}(B_c^+ \\to \\chi_{c1} \\pi^+\\pi^0) = 4.19 \\times 10^{-3}$, with constructive $\\rho$ interference contributing $\\sim 25\\%$ of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23163","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/2607.23163/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.23163","created_at":"2026-07-28T01:22:10.005095+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.23163v1","created_at":"2026-07-28T01:22:10.005095+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23163","created_at":"2026-07-28T01:22:10.005095+00:00"},{"alias_kind":"pith_short_12","alias_value":"SC2DXY7SFPPL","created_at":"2026-07-28T01:22:10.005095+00:00"},{"alias_kind":"pith_short_16","alias_value":"SC2DXY7SFPPLRT3M","created_at":"2026-07-28T01:22:10.005095+00:00"},{"alias_kind":"pith_short_8","alias_value":"SC2DXY7S","created_at":"2026-07-28T01:22:10.005095+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF","json":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF.json","graph_json":"https://pith.science/api/pith-number/SC2DXY7SFPPLRT3MKB6ENDYANF/graph.json","events_json":"https://pith.science/api/pith-number/SC2DXY7SFPPLRT3MKB6ENDYANF/events.json","paper":"https://pith.science/paper/SC2DXY7S"},"agent_actions":{"view_html":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF","download_json":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF.json","view_paper":"https://pith.science/paper/SC2DXY7S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.23163&json=true","fetch_graph":"https://pith.science/api/pith-number/SC2DXY7SFPPLRT3MKB6ENDYANF/graph.json","fetch_events":"https://pith.science/api/pith-number/SC2DXY7SFPPLRT3MKB6ENDYANF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF/action/storage_attestation","attest_author":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF/action/author_attestation","sign_citation":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF/action/citation_signature","submit_replication":"https://pith.science/pith/SC2DXY7SFPPLRT3MKB6ENDYANF/action/replication_record"}},"created_at":"2026-07-28T01:22:10.005095+00:00","updated_at":"2026-07-28T01:22:10.005095+00:00"}