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Our results shows that the obtained ratios of helicity amplitudes are quite stable, which are $|F_{1,1}^{(0)}/F_{0,0}^{(0)}| \\approx 0.359$, $|F_{1,0}^{(1)}/F_{0,1}^{(1)}| =1$, $|F_{1,1}^{(1)}/F_{0,1}^{(1)}| =0$, $|F^{(2)}_{1,0}|/|F^{(2)}_{0,0}|=|F^{(2)}_{0,1}|/|F^{(2)}_{0,0}| \\approx 1.285,~|F^{(2)}_{1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}_{-1,1}|/|F^{(2)}_{0,0}| \\approx 5.110$ and $|F^{(2)}_{-1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}"},"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":"2102.07104","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-02-14T08:44:24Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"59ec3105c5d61aa82f57d6f7a58aafc9d874b2c4c61cf1982e79bf972466d53b","abstract_canon_sha256":"b1d1c5708d370f6906bf0b9cb46c358d96d8b9d9d201ae25cd94c44fed631d39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:44.407242Z","signature_b64":"Q20xq3iFaJsFkaz0xoRuphuopoR4ysGlpBtVmGDxvEerq2OciPvY7PQDlw0xjJGHGwmQVv2dxS2Hu9U+oyp7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"451955b733b4e696abd2b1d73e0bf376481af7c7ce6580bd4b4ef7f14c12ddf3","last_reissued_at":"2026-07-05T02:39:44.406768Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:44.406768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detecting the polarization in $\\chi_{cJ} \\to \\phi \\phi $ decays to probe hadronic loop effect","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Jun-Zhang Wang, Qi Huang, Rong-Gang Ping, Xiang Liu","submitted_at":"2021-02-14T08:44:24Z","abstract_excerpt":"In this work, we propose that detecting the polarization information of $\\chi_{cJ}\\to \\phi\\phi~(J=0,1,2)$ can be as good test of the role of hadronic loop effect on these decays. Our results shows that the obtained ratios of helicity amplitudes are quite stable, which are $|F_{1,1}^{(0)}/F_{0,0}^{(0)}| \\approx 0.359$, $|F_{1,0}^{(1)}/F_{0,1}^{(1)}| =1$, $|F_{1,1}^{(1)}/F_{0,1}^{(1)}| =0$, $|F^{(2)}_{1,0}|/|F^{(2)}_{0,0}|=|F^{(2)}_{0,1}|/|F^{(2)}_{0,0}| \\approx 1.285,~|F^{(2)}_{1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}_{-1,1}|/|F^{(2)}_{0,0}| \\approx 5.110$ and $|F^{(2)}_{-1,-1}|/|F^{(2)}_{0,0}|=|F^{(2)}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.07104","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/2102.07104/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":"2102.07104","created_at":"2026-07-05T02:39:44.406833+00:00"},{"alias_kind":"arxiv_version","alias_value":"2102.07104v2","created_at":"2026-07-05T02:39:44.406833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.07104","created_at":"2026-07-05T02:39:44.406833+00:00"},{"alias_kind":"pith_short_12","alias_value":"IUMVLNZTWTTJ","created_at":"2026-07-05T02:39:44.406833+00:00"},{"alias_kind":"pith_short_16","alias_value":"IUMVLNZTWTTJNK6S","created_at":"2026-07-05T02:39:44.406833+00:00"},{"alias_kind":"pith_short_8","alias_value":"IUMVLNZT","created_at":"2026-07-05T02:39:44.406833+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/IUMVLNZTWTTJNK6SWHLT4C7TOZ","json":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ.json","graph_json":"https://pith.science/api/pith-number/IUMVLNZTWTTJNK6SWHLT4C7TOZ/graph.json","events_json":"https://pith.science/api/pith-number/IUMVLNZTWTTJNK6SWHLT4C7TOZ/events.json","paper":"https://pith.science/paper/IUMVLNZT"},"agent_actions":{"view_html":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ","download_json":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ.json","view_paper":"https://pith.science/paper/IUMVLNZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2102.07104&json=true","fetch_graph":"https://pith.science/api/pith-number/IUMVLNZTWTTJNK6SWHLT4C7TOZ/graph.json","fetch_events":"https://pith.science/api/pith-number/IUMVLNZTWTTJNK6SWHLT4C7TOZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ/action/storage_attestation","attest_author":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ/action/author_attestation","sign_citation":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ/action/citation_signature","submit_replication":"https://pith.science/pith/IUMVLNZTWTTJNK6SWHLT4C7TOZ/action/replication_record"}},"created_at":"2026-07-05T02:39:44.406833+00:00","updated_at":"2026-07-05T02:39:44.406833+00:00"}