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(i) First, using the Gell-Mann-Okubo mass formula together with the $K_1(1270)$-$K_1(1400)$ mixing angle $\\theta_{K_1}=(-34\\pm 13)^\\circ$ extracted from the data for ${\\cal B}(B\\to K_1(1270) \\gamma), {\\cal B}(B\\to K_1(1400) \\gamma), {\\cal B}(\\tau\\to K_1(1270) \\nu_\\tau)$, and ${\\cal B}(\\tau\\to K_1(1420) \\nu_\\tau)$, gave $\\theta = (23^{+17}_{-23})^\\circ$. (ii) Second, from the study of the ratio for $f_1(1285) \\to \\phi\\gamma$ and $f_1(1285) \\to \\rho^0\\gamma$ branching fractions, we have two-fold"},"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":"1011.6113","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-29T01:30:43Z","cross_cats_sorted":["hep-ex","hep-lat","nucl-th"],"title_canon_sha256":"fdab632e8dd3b433aca2cb826e8e6c5adf556cdbd312f3da1b85d3714e066d7f","abstract_canon_sha256":"f620a2baeba683a53c6407f72a9c8d9a9a56b1e20850c3668bfd54c87d678dac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:53.608170Z","signature_b64":"E3LTiCm6jQZdrMSBIMk80BP2uGcjVPkPVtbx7E+/yWvExppR5PrJpToJ1ohzM3poCtKNLDwsvjK6a4sLMqC3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6daa2046e056f3e55c244fcc24a3039be702cd9753e1e299681350c290ab44bd","last_reissued_at":"2026-05-18T03:57:53.607401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:53.607401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$1^{++}$ Nonet Singlet-Octet Mixing Angle, Strange Quark Mass, and Strange Quark Condensate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-lat","nucl-th"],"primary_cat":"hep-ph","authors_text":"Kwei-Chou Yang","submitted_at":"2010-11-29T01:30:43Z","abstract_excerpt":"Two strategies are taken into account to determine the $f_1(1420)$-$f_1(1285)$ mixing angle $\\theta$. 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