Statistical uncertainty quantification for multireference covariant density functional theory

[2408.13209] Statistical uncertainty quantification for multireference covariant density functional theory Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Nuclear Theory arXiv:2408.13209 (nucl-th) [Submitted on 23 Aug 2024 ( v1 ), last revised 9 Apr 2026 (this version, v2)] Title: Statistical uncertainty quantification for multireference covariant density functional theory Authors: X. Zhang , C. C. Wang , C. R. Ding , J. M. Yao View a PDF of the paper titled Statistical uncertainty quantification for multireference covariant density functional theory, by X. Zhang and 3 other authors View PDF HTML (experimental) Abstract: 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 nuclei, we infer posterior distributions for the model parameters within a Bayesian framework. These posterior distributions are then propagated to the low-lying states of finite nuclei using the newly developed subspace-projected (SP)-CDFT approach, in which the wave functions of target EDF parameter sets are expanded in a subspace spanned by low-lying states obtained from a set of training parameterizations. We find that the observables of low-lying states in deformed nuclei $^{150}$Nd and $^{150}$Sm are well reproduced once statistical uncertainties are taken into account. In contrast, those of near spherical nuclei $^{136}$Xe and $^{136}$Ba remain difficult to describe within the present framework, a limitation that is expected to be alleviated by extending the model space to include quasiparticle excitations. Comments: 12 pages with 9 figures and 3 tables Subjects: Nuclear Theory (nucl-th) ; Nuclear Experiment (nucl-ex) Cite as: arXiv:2408.13209 [nucl-th] (or arXiv:2408.13209v2 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2408.13209 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Chinese Physics C 50, 104107 (2026) Related DOI : https://doi.org/10.1088/1674-1137/ae8e63 Focus to learn more DOI(s) linking to related resources Submission history From: Jiangming Yao [ view email ] [v1] Fri, 23 Aug 2024 16:38:32 UTC (4,357 KB) [v2] Thu, 9 Apr 2026 07:48:28 UTC (2,448 KB) Full-text links: Access Paper: View a PDF of the paper titled Statistical uncertainty quantification for multireference covariant density functional theory, by X. 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