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The mass ratios become approximately constants in the coupling region $6/g^2 \\in [6.0,6.4]$, from which we estimate $M(0^{--})/M(0^{++})=2.44 \\pm 0.05 \\pm 0.20$ and $M(1^{+-})/M(0^{++})=1.91 \\pm 0.05 \\pm 0.12$."},"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/9609435","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-09-23T08:16:31Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"cd49ab9e99b9b143326363096be60b82e1f00573372e7e01fb56d7be6b93e4ac","abstract_canon_sha256":"5638f3a56b55e698d30cec4f5b1732d1b89411dd808bdf287e2a7ff8f3c62b80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:46.409972Z","signature_b64":"IN8tX0maGMugwo3QviwaeNa4OlFXTzP8K/BcduTk3cBVi10h4AoJ8RsOnBgKe+ZUMoxqEzH8/R71bPZMj3PTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c6a846fef440f5264884241b441df30cf1a1894fe88afde8b051e53d1941c4c","last_reissued_at":"2026-05-18T00:25:46.409462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:46.409462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Glueball Masses from Hamiltonian Lattice QCD","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Lian Hu, Qi-Zhou Chen, Shuo-Hong Guo, Xiang-Qian Luo, Xi-Yan Fang","submitted_at":"1996-09-23T08:16:31Z","abstract_excerpt":"We calculate the masses of the $0^{++}$, $0^{--}$ and $1^{+-}$ glueballs from QCD in 3+1 dimensions using an eigenvalue equation method for Hamiltonian lattice QCD developed and described elsewhere by the authors. The mass ratios become approximately constants in the coupling region $6/g^2 \\in [6.0,6.4]$, from which we estimate $M(0^{--})/M(0^{++})=2.44 \\pm 0.05 \\pm 0.20$ and $M(1^{+-})/M(0^{++})=1.91 \\pm 0.05 \\pm 0.12$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9609435","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/9609435","created_at":"2026-05-18T00:25:46.409547+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9609435v1","created_at":"2026-05-18T00:25:46.409547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9609435","created_at":"2026-05-18T00:25:46.409547+00:00"},{"alias_kind":"pith_short_12","alias_value":"DRVII37PIQHV","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"DRVII37PIQHVEZEI","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"DRVII37P","created_at":"2026-05-18T12:25:47.700082+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/DRVII37PIQHVEZEIIJA3IQO7GD","json":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD.json","graph_json":"https://pith.science/api/pith-number/DRVII37PIQHVEZEIIJA3IQO7GD/graph.json","events_json":"https://pith.science/api/pith-number/DRVII37PIQHVEZEIIJA3IQO7GD/events.json","paper":"https://pith.science/paper/DRVII37P"},"agent_actions":{"view_html":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD","download_json":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD.json","view_paper":"https://pith.science/paper/DRVII37P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9609435&json=true","fetch_graph":"https://pith.science/api/pith-number/DRVII37PIQHVEZEIIJA3IQO7GD/graph.json","fetch_events":"https://pith.science/api/pith-number/DRVII37PIQHVEZEIIJA3IQO7GD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD/action/storage_attestation","attest_author":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD/action/author_attestation","sign_citation":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD/action/citation_signature","submit_replication":"https://pith.science/pith/DRVII37PIQHVEZEIIJA3IQO7GD/action/replication_record"}},"created_at":"2026-05-18T00:25:46.409547+00:00","updated_at":"2026-05-18T00:25:46.409547+00:00"}