{"paper":{"title":"Statistical uncertainty quantification for multireference covariant density functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Statistical uncertainties in covariant density functional theory reproduce low-lying state observables for deformed nuclei but not near-spherical ones.","cross_cats":["nucl-ex"],"primary_cat":"nucl-th","authors_text":"C. C. Wang, C. R. Ding, J. M. Yao, X. Zhang","submitted_at":"2024-08-23T16:38:32Z","abstract_excerpt":"We present a theoretical framework to quantify statistical uncertainties in covariant density functional theory (CDFT) for both nuclear matter and finite nuclei, based on a relativistic point-coupling energy density functional (EDF). By sampling approximately one million parameter sets, with nine parameters varied around their values in the PC-PK1 functional, we construct a probability density function for nuclear matter properties. Incorporating empirical values of nuclear matter at saturation density and those of predictions from chiral nuclear forces, and measured $B(E2)$ values of finite n"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The observables of low-lying states in deformed nuclei 150Nd and 150Sm are well reproduced once statistical uncertainties are taken into account, while those of near-spherical nuclei 136Xe and 136Ba remain difficult to describe within the present framework.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The subspace spanned by low-lying states from a limited set of training parameterizations is assumed to be sufficient to represent the wave functions of target EDF parameter sets for the nuclei under study (abstract and final paragraph).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Bayesian sampling of ~1M EDF parameter sets combined with subspace-projected CDFT shows that statistical uncertainties bring deformed nuclei 150Nd and 150Sm into agreement with data while near-spherical 136Xe and 136Ba remain outside the predicted bands.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Statistical uncertainties in covariant density functional theory reproduce low-lying state observables for deformed nuclei but not near-spherical ones.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"880277bd3c82e21a2d64f5c2f5fa1ad1198a5a83959792bb044821c8d212d87c"},"source":{"id":"2408.13209","kind":"arxiv","version":2},"verdict":{"id":"eab11fb9-85c9-4eb6-bee9-d588e2adbe8e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-23T21:27:00.438357Z","strongest_claim":"The observables of low-lying states in deformed nuclei 150Nd and 150Sm are well reproduced once statistical uncertainties are taken into account, while those of near-spherical nuclei 136Xe and 136Ba remain difficult to describe within the present framework.","one_line_summary":"Bayesian sampling of ~1M EDF parameter sets combined with subspace-projected CDFT shows that statistical uncertainties bring deformed nuclei 150Nd and 150Sm into agreement with data while near-spherical 136Xe and 136Ba remain outside the predicted bands.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The subspace spanned by low-lying states from a limited set of training parameterizations is assumed to be sufficient to represent the wave functions of target EDF parameter sets for the nuclei under study (abstract and final paragraph).","pith_extraction_headline":"Statistical uncertainties in covariant density functional theory reproduce low-lying state observables for deformed nuclei but not near-spherical ones."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.13209/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":98,"sample":[{"doi":"","year":2003,"title":"M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys. 75, 121 (2003)","work_id":"36515ec1-ca7d-474a-8821-4317287a5dbb","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2005,"title":"D. Vretenar, A. Afanasjev, G. Lalazissis, and P. Ring, Physics Reports 409, 101 (2005)","work_id":"439517c9-9144-4975-ae99-8b04683047a8","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2006,"title":"J. Meng, H. Toki, S. G. Zhou, S. Q. Zhang, W. H. Long, and L. S. Geng, Prog. Part. Nucl. Phys. 57, 470 (2006), arXiv:nucl- th/0508020. 14","work_id":"fbc758f3-e3cf-4e74-ad2d-079cc7ca6409","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"Toward ab initio density functional theory for nuclei","work_id":"27964d92-b6ef-47d5-bbdd-0f434bce1f8e","ref_index":4,"cited_arxiv_id":"0906.1463","is_internal_anchor":true},{"doi":"","year":1965,"title":"W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965)","work_id":"3d740a86-3ae1-49d8-b512-0bda0ffd289b","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":98,"snapshot_sha256":"16bc49d256739f0bb8a8bf02549c5e62a89862fb3b038fb0557dca2181bf4e72","internal_anchors":19},"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"}