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A study of parameter sensitivity of nuclear energy density functionals, initiated in the first part of this work \cite{NV.16}, is extended by the inclusion of data on ground-state properties of finite nuclei in the application of the…

核理论 · 物理学 2017-05-24 Tamara Nikšić , Marko Imbrišak , Dario Vretenar

We discuss a method of parameter reduction in complex models known as the Manifold Boundary Approximation Method (MBAM). This approach, based on a geometric interpretation of statistics, maps the model reduction problem to a geometric…

数据分析、统计与概率 · 物理学 2016-05-30 Mark K. Transtrum

The information-geometric statistical analysis on the stability of model reductions, reported previously [Imbri\v{s}ak and Nomura, Phys. Rev. C 107, 034304 (2023)] with a focus on the manifold boundary approximation method in the…

核理论 · 物理学 2023-08-31 M. Imbrišak , K. Nomura

Concepts from information geometry are used to analyse parameter sensitivity for a nuclear energy density functional, representative of a class of semi-empirical functionals that start from a microscopically motivated ansatz for the density…

核理论 · 物理学 2016-08-29 Tamara Niksic , Dario Vretenar

We show that two widely accepted model reduction techniques, Balanced Truncation and Balanced Singular Perturbation Approximation, can be derived as limiting approximations of a carefully constructed parameterization of Linear Time…

最优化与控制 · 数学 2019-01-10 Philip E. Paré , David Grimsman , Alma T. Wilson , Mark K. Transtrum , Sean Warnick

We study the information content of nuclear masses from the perspective of global models of nuclear binding energies. To this end, we employ a number of statistical methods and diagnostic tools, including Bayesian calibration, Bayesian…

核理论 · 物理学 2020-05-08 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz , Paul-Gerhard Reinhard

The prediction of cross sections for nuclei far off stability is crucial in the field of nuclear astrophysics. In recent calculations the nuclear level density -- as an important ingredient to the statistical model (Hauser-Feshbach) -- has…

天体物理学 · 物理学 2016-08-30 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

Spectroscopy of muonic atoms is, to date, the most accurate technique to extract parameters of the nuclear charge density. The same reasons for their heightened sensitivity to nuclear parameters, a large overlap of the muonic wavefunction…

原子物理 · 物理学 2025-12-19 K. A. Beyer , N. S. Oreshkina

A covariant energy density functional is calibrated using a principled Bayesian statistical framework informed by experimental binding energies and charge radii of several magic and semi-magic nuclei. The Bayesian sampling required for the…

核理论 · 物理学 2022-09-28 Pablo Giuliani , Kyle Godbey , Edgard Bonilla , Frederi Viens , Jorge Piekarewicz

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

核理论 · 物理学 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

The inherent complexity of biological systems gives rise to complicated mechanistic models with a large number of parameters. On the other hand, the collective behavior of these systems can often be characterized by a relatively small…

定量方法 · 定量生物学 2016-06-15 Mark K. Transtrum , Peng Qiu

The stability of model parameters for a class of relativistic energy density functionals, characterized by contact (point-coupling) effective inter-nucleon interactions and density-dependent coupling parameters, is analyzed using methods of…

核理论 · 物理学 2015-06-22 Tamara Niksic , Nils Paar , Paul-Gerhard Reinhard , Dario Vretenar

The concept of fission barrier - a parameter which enters in quantitative estimates of various observables related to nuclear fission - is presented from the point of view of theory based on the picture of nuclear deformation and energy…

核理论 · 物理学 2022-04-27 Michał Kowal , Janusz Skalski

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better…

核理论 · 物理学 2015-12-23 N. Schunck , J. D. McDonnell , D. Higdon , J. Sarich , S. M. Wild

We have extended the compressible liquid-drop model (CLDM) with a density-dependent surface term (eCLDM), which allows for a unified description of both the nuclear ground state energies and the incompressibility modulus in finite nuclei…

核理论 · 物理学 2022-10-19 Guilherme Grams , Rahul Somasundaram , Jerome Margueron , Elias Khan

Magnetizable piezoelectric beams exhibit strong couplings between mechanical, electric, and magnetic fields, significantly affecting their high-frequency vibrational behavior. Ensuring exponential stability under boundary feedback…

数值分析 · 数学 2026-04-07 Ahmet Kaan Aydin , Ahmet Ozkan Ozer , Jacob Walterman

\gamma-softness in atomic nuclei is investigated in the framework of energy density functionals. By mapping constrained microscopic energy surfaces for a set of representative non-axial medium-heavy and heavy nuclei to a Hamiltonian of the…

核理论 · 物理学 2015-05-30 K. Nomura , N. Shimizu , D. Vretenar , T. Niksic , T. Otsuka

Models of Asymmetric Dark Matter (ADM) with a sufficiently attractive and long-range force gives rise to stable bound objects, analogous to nuclei in the Standard Model, called nuggets. We study the properties of these nuggets and compute…

高能物理 - 唯象学 · 物理学 2017-11-22 Moira I. Gresham , Hou Keong Lou , Kathryn M. Zurek

In this paper we address the temporal energy growth associated with numerical approximations of the perfectly matched layer (PML) for Maxwell's equations in first order form. In the literature, several studies have shown that a numerical…

数值分析 · 数学 2014-05-06 Kenneth Duru

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

核理论 · 物理学 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera
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