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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)}","authors_text":"Jun-Zhang Wang, Qi Huang, Rong-Gang Ping, Xiang Liu","cross_cats":["hep-ex"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-02-14T08:44:24Z","title":"Detecting the polarization in $\\chi_{cJ} \\to \\phi \\phi $ decays to probe hadronic loop effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.07104","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1f055cc3d577112323960d112dc70f1719e93b2edf417e02092e2d91021ca5bd","target":"record","created_at":"2026-07-05T02:39:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b1d1c5708d370f6906bf0b9cb46c358d96d8b9d9d201ae25cd94c44fed631d39","cross_cats_sorted":["hep-ex"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-02-14T08:44:24Z","title_canon_sha256":"59ec3105c5d61aa82f57d6f7a58aafc9d874b2c4c61cf1982e79bf972466d53b"},"schema_version":"1.0","source":{"id":"2102.07104","kind":"arxiv","version":2}},"canonical_sha256":"451955b733b4e696abd2b1d73e0bf376481af7c7ce6580bd4b4ef7f14c12ddf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"451955b733b4e696abd2b1d73e0bf376481af7c7ce6580bd4b4ef7f14c12ddf3","first_computed_at":"2026-07-05T02:39:44.406768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:39:44.406768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q20xq3iFaJsFkaz0xoRuphuopoR4ysGlpBtVmGDxvEerq2OciPvY7PQDlw0xjJGHGwmQVv2dxS2Hu9U+oyp7Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T02:39:44.407242Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.07104","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f055cc3d577112323960d112dc70f1719e93b2edf417e02092e2d91021ca5bd","sha256:e8dadea584e5e84d62e4c47f4b9a39bf2427289db055219dee4b3f20eef28c6a"],"state_sha256":"9a8e7e84f43c6a6c890a150970e70b659d8a6fea4c7a94b39c1f2fa453c44077"}