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We clarify the difference between these two and suggest which should be adopted. General arguments on the mixing angle between $^3L_L$ and $^1L_L$ of heavy-light mesons are given in HQET and a general relation is derived in heavy quark mass limit as well as that including the first order correction in $1/m_Q$."},"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":"1001.4248","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-24T15:31:50Z","cross_cats_sorted":["hep-ex","nucl-th"],"title_canon_sha256":"11500da72976992ae76ee53c06896d03896cd54c6ee8cfc9bb42d7a8d65c4570","abstract_canon_sha256":"bdab65bd2c8982c07e049ec6d0ffd707abde4b5240a0188f70adbfebcdd19fdd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:00.412770Z","signature_b64":"+B6ry8an8ETGUgjVgdvOqxniDeNTsgvrhXPL6F6KjgSxw9td2lfWhHcYNfwYAaltLEEAtG6UzdGRuyH3YvPtCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9de8b0d90ffc5ce4352b73e50b93b7faaf90e548d10244a79539842f6f84b52a","last_reissued_at":"2026-05-18T04:34:00.412261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:00.412261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixing angle between $^3P_1$ and $^1P_1$ in HQET","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Kohichi Seo, Takayuki Matsuki, Toshiyuki Morii","submitted_at":"2010-01-24T15:31:50Z","abstract_excerpt":"Some claim that there are two independent mixing angles ($\\theta = 35.3^\\circ$, $-54.7^\\circ$) between $^3P_1$ and $^1P_1$ states of heavy-light mesons in heavy quark symmetric limit, and others claim there is only one ($\\theta = 35.3^\\circ$). We clarify the difference between these two and suggest which should be adopted. General arguments on the mixing angle between $^3L_L$ and $^1L_L$ of heavy-light mesons are given in HQET and a general relation is derived in heavy quark mass limit as well as that including the first order correction in $1/m_Q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4248","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":""},"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":"1001.4248","created_at":"2026-05-18T04:34:00.412334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.4248v2","created_at":"2026-05-18T04:34:00.412334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4248","created_at":"2026-05-18T04:34:00.412334+00:00"},{"alias_kind":"pith_short_12","alias_value":"TXULBWIP7ROO","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"TXULBWIP7ROOINJL","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"TXULBWIP","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.01856","citing_title":"Phenomenology of $D_{s1}$ mesons radiative transitions","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K","json":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K.json","graph_json":"https://pith.science/api/pith-number/TXULBWIP7ROOINJLOPSQXE5X7K/graph.json","events_json":"https://pith.science/api/pith-number/TXULBWIP7ROOINJLOPSQXE5X7K/events.json","paper":"https://pith.science/paper/TXULBWIP"},"agent_actions":{"view_html":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K","download_json":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K.json","view_paper":"https://pith.science/paper/TXULBWIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.4248&json=true","fetch_graph":"https://pith.science/api/pith-number/TXULBWIP7ROOINJLOPSQXE5X7K/graph.json","fetch_events":"https://pith.science/api/pith-number/TXULBWIP7ROOINJLOPSQXE5X7K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K/action/storage_attestation","attest_author":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K/action/author_attestation","sign_citation":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K/action/citation_signature","submit_replication":"https://pith.science/pith/TXULBWIP7ROOINJLOPSQXE5X7K/action/replication_record"}},"created_at":"2026-05-18T04:34:00.412334+00:00","updated_at":"2026-05-18T04:34:00.412334+00:00"}