{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:2AKP533EPCNHDNPZ4WBGZV2KN3","short_pith_number":"pith:2AKP533E","schema_version":"1.0","canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","source":{"kind":"arxiv","id":"nucl-th/0312120","version":1},"attestation_state":"computed","paper":{"title":"Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Dennis Bonatsos, D. Lenis, N. Minkov, P. A. Terziev, P. P. Raychev","submitted_at":"2003-12-29T10:03:52Z","abstract_excerpt":"It is proved that the potentials of the form $\\beta^{2n}$ (with $n$ being integer) provide a ``bridge'' between the U(5) symmetry of the Bohr Hamiltonian with a harmonic oscillator potential (occuring for $n=1$) and the E(5) model of Iachello (Bohr Hamiltonian with an infinite well potential, materialized for infinite $n$). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are given for the potentials $\\beta^4$, $\\beta^6$, $\\beta^8$, corresponding to $R_4=E(4)/E(2)$ ratios of 2.093, 2.135, 2.157 respectively, compared to the $R_4$ ratios 2.000 of U"},"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":"nucl-th/0312120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"8932eb1ed572ba97f90b0a398737981dbb0cb42425110b070d6782da5ebfb863","abstract_canon_sha256":"b58b26f5478d10b5e687cc4f7c38b656dc6dc365cc1332bdbb92d127759c0e7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:19.472675Z","signature_b64":"QxjE4e0gfhErrYkFiO4oAWiQo6jH+BH3oiGZyejM+i1oAObkowYMhAS15Dtfx1cmnCEbotVr++YPCNO0FjFBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","last_reissued_at":"2026-05-18T01:05:19.472246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:19.472246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Dennis Bonatsos, D. Lenis, N. Minkov, P. A. Terziev, P. P. Raychev","submitted_at":"2003-12-29T10:03:52Z","abstract_excerpt":"It is proved that the potentials of the form $\\beta^{2n}$ (with $n$ being integer) provide a ``bridge'' between the U(5) symmetry of the Bohr Hamiltonian with a harmonic oscillator potential (occuring for $n=1$) and the E(5) model of Iachello (Bohr Hamiltonian with an infinite well potential, materialized for infinite $n$). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are given for the potentials $\\beta^4$, $\\beta^6$, $\\beta^8$, corresponding to $R_4=E(4)/E(2)$ ratios of 2.093, 2.135, 2.157 respectively, compared to the $R_4$ ratios 2.000 of U"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0312120","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":"nucl-th/0312120","created_at":"2026-05-18T01:05:19.472300+00:00"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0312120v1","created_at":"2026-05-18T01:05:19.472300+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0312120","created_at":"2026-05-18T01:05:19.472300+00:00"},{"alias_kind":"pith_short_12","alias_value":"2AKP533EPCNH","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"2AKP533EPCNHDNPZ","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"2AKP533E","created_at":"2026-05-18T12:25:51.375804+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/2AKP533EPCNHDNPZ4WBGZV2KN3","json":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3.json","graph_json":"https://pith.science/api/pith-number/2AKP533EPCNHDNPZ4WBGZV2KN3/graph.json","events_json":"https://pith.science/api/pith-number/2AKP533EPCNHDNPZ4WBGZV2KN3/events.json","paper":"https://pith.science/paper/2AKP533E"},"agent_actions":{"view_html":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3","download_json":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3.json","view_paper":"https://pith.science/paper/2AKP533E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nucl-th/0312120&json=true","fetch_graph":"https://pith.science/api/pith-number/2AKP533EPCNHDNPZ4WBGZV2KN3/graph.json","fetch_events":"https://pith.science/api/pith-number/2AKP533EPCNHDNPZ4WBGZV2KN3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/action/storage_attestation","attest_author":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/action/author_attestation","sign_citation":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/action/citation_signature","submit_replication":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/action/replication_record"}},"created_at":"2026-05-18T01:05:19.472300+00:00","updated_at":"2026-05-18T01:05:19.472300+00:00"}