{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:5RGJ3IXMFE6BHGJBDDWZ3RXCBP","short_pith_number":"pith:5RGJ3IXM","schema_version":"1.0","canonical_sha256":"ec4c9da2ec293c13992118ed9dc6e20beb02b8bed23b2c80111c35e206e18fd4","source":{"kind":"arxiv","id":"hep-ph/0003218","version":1},"attestation_state":"computed","paper":{"title":"Isospin Breaking and $\\omega$->$\\pi\\pi$ Decay","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.-L. Yan, X.-J. Wang","submitted_at":"2000-03-22T12:33:31Z","abstract_excerpt":"We study $\\omega\\to\\pi^+\\pi^-$ decay up to including all orders of the chiral expansion and one-loop level of mesons in formlism of chiral constituent quark model. This G-parity forbidden decay is caused by $m_u\\neq m_d$ and electromagnetic interaction of mesons. We illustrate that in the formlism both nonresonant contact interaction and $\\rho$ resonance exchange contribute to this process, and the contribution from $\\rho$ resonance exchange is dominant. We obtain that transition matrix element is $<~\\rho|H_{\\rho\\omega}|\\omega>=[-(3956\\pm 280)-(1697\\pm 130)i]$MeV$^2$, and isospin breaking para"},"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":"hep-ph/0003218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-03-22T12:33:31Z","cross_cats_sorted":[],"title_canon_sha256":"45093a39841b493320b9d5eee4ff4f840ae7493cd4916cfb2458fd634712ba98","abstract_canon_sha256":"b1924cffc48c4be445215442013fb97783c4d87c1d99da8b3a855eeaf3239f72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:24.107472Z","signature_b64":"bmMVj1FJ75SO87h6EGj3GR5nzUxSw7yajkHirKdHlAUsMBrEhodBrhvhh6YALtkttRzjucFnxbI2bOtcV69SCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec4c9da2ec293c13992118ed9dc6e20beb02b8bed23b2c80111c35e206e18fd4","last_reissued_at":"2026-05-18T04:30:24.106645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:24.106645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isospin Breaking and $\\omega$->$\\pi\\pi$ Decay","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.-L. Yan, X.-J. Wang","submitted_at":"2000-03-22T12:33:31Z","abstract_excerpt":"We study $\\omega\\to\\pi^+\\pi^-$ decay up to including all orders of the chiral expansion and one-loop level of mesons in formlism of chiral constituent quark model. This G-parity forbidden decay is caused by $m_u\\neq m_d$ and electromagnetic interaction of mesons. We illustrate that in the formlism both nonresonant contact interaction and $\\rho$ resonance exchange contribute to this process, and the contribution from $\\rho$ resonance exchange is dominant. We obtain that transition matrix element is $<~\\rho|H_{\\rho\\omega}|\\omega>=[-(3956\\pm 280)-(1697\\pm 130)i]$MeV$^2$, and isospin breaking para"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0003218","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":""},"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":"hep-ph/0003218","created_at":"2026-05-18T04:30:24.106764+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0003218v1","created_at":"2026-05-18T04:30:24.106764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0003218","created_at":"2026-05-18T04:30:24.106764+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RGJ3IXMFE6B","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RGJ3IXMFE6BHGJB","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RGJ3IXM","created_at":"2026-05-18T12:25:49.631198+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/5RGJ3IXMFE6BHGJBDDWZ3RXCBP","json":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP.json","graph_json":"https://pith.science/api/pith-number/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/graph.json","events_json":"https://pith.science/api/pith-number/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/events.json","paper":"https://pith.science/paper/5RGJ3IXM"},"agent_actions":{"view_html":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP","download_json":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP.json","view_paper":"https://pith.science/paper/5RGJ3IXM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0003218&json=true","fetch_graph":"https://pith.science/api/pith-number/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/graph.json","fetch_events":"https://pith.science/api/pith-number/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/action/storage_attestation","attest_author":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/action/author_attestation","sign_citation":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/action/citation_signature","submit_replication":"https://pith.science/pith/5RGJ3IXMFE6BHGJBDDWZ3RXCBP/action/replication_record"}},"created_at":"2026-05-18T04:30:24.106764+00:00","updated_at":"2026-05-18T04:30:24.106764+00:00"}