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Motivated by Ref.[1], we examine an alternative mixing mechanism that could potentially explain the small mass difference between the $a_0 (1450)$ and $K_0^* (1430)$. According to the tetraquark mixing model, two types, distinguished by their color-spin structures, are necessary to describe the tetraquark structure of the two nonets containing [$a_0(980), K_0^*(700)$] and [$a_0(1450), K_0^"},"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":"2410.18589","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-10-24T09:37:39Z","cross_cats_sorted":["hep-ex","nucl-th"],"title_canon_sha256":"c2e981ecaa46f2a827cc11c8a6b7efb471234c8f8efcf356fe7053f59803a848","abstract_canon_sha256":"d160c7983f346703b394d4bb80613af51f68214fc0e29507f46f8b9c6c6ba0c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:13:44.363323Z","signature_b64":"0br/pxxU/aFlHp5zVYxvcFJK9BIDbz3mTJXLFhS91NQWesltVw2R1E0l3cOuiXIjDc0m4yA8FvtfqxIYrKB1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2bf8262a485261c0676f31c0cc6131cafd08d4ae476d1cb68982acba7fecb15","last_reissued_at":"2026-07-05T10:13:44.362838Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:13:44.362838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixing mechanism for the $J^{P}=0^{+}$ mesons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hungchong Kim, K. 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