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We introduce a method for the estimation of uncertainties in density-functional-theory (DFT) calculations for atomistic systems. The method is based on the construction of an uncertainty-aware functional distribution (UAFD) in a space…

Materials Science · Physics 2025-07-14 Teitur Hansen , Jens Jørgen Mortensen , Thomas Bligaard , Karsten Wedel Jacobsen

The spinodal instabilities in hot asymmetric nuclear matter and some important critical parameters derived thereof are studied using six different families of relativistic mean-field (RMF) models. The slopes of the symmetry energy…

Nuclear Theory · Physics 2017-05-31 N. Alam , H. Pais , C. Providência , B. K. Agrawal

Determining the Equation of State (EOS) of dense neutron-rich nuclear matter is a shared goal of both nuclear physics and astrophysics. Except possible phase transitions, the density dependence of nuclear symmetry \esym is the most…

Nuclear Theory · Physics 2019-07-23 Bao-An Li , Plamen G. Krastev , De-Hua Wen , Nai-Bo Zhang

The first results of a new three-dimensional, finite temperature Skyrme-Hartree-Fock+BCS study of the properties of inhomogeneous nuclear matter at densities and temperatures leading to the transition to uniform nuclear matter are…

Solar and Stellar Astrophysics · Physics 2011-05-25 W. G. Newton

The simple interpretation of PAO's UHECRs' penetration depth measurements suggests a transition at the energy range $1.1 - 35 \cdot 10^{18} $ eV from protons to heavier nuclei. A detailed comparison of this data with air shower simulations…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Nimrod Shaham , Tsvi Piran

For multiple reasons -- such as avoiding overtraining from one data set or because of having received numerical estimates for some parameters in a model from an alternative source -- it is sometimes useful to divide a model's parameters…

Methodology · Statistics 2024-06-26 Yunrong Wan

The nuclear symmetry energy, which describes the energy difference of per proton and neutron in nuclear matter, has been extensively studied within the last two decades. Around saturation density, both the value and the slope of the nuclear…

Nuclear Theory · Physics 2020-07-21 Gao-Chan Yong , Ya-Fei Guo

Neutron star matter spans a wide range of densities, from that of nuclei at the surface to exceeding several times normal nuclear matter density in the core. While terrestrial experiments, such as nuclear or heavy-ion collision experiments,…

High Energy Astrophysical Phenomena · Physics 2023-12-19 Suprovo Ghosh , Debarati Chatterjee , Jürgen Schaffner-Bielich

We present the first example of a rigorous uncertainty quantification on elastic Nucleus-Nucleus scattering at energies near the Coulomb barrier. Experimental data has been analyzed using an energy dependent effective optical model…

Nuclear Theory · Physics 2019-06-13 Rodrigo Navarro Pérez , Jin Lei

ICME approaches provide decision support for materials design by establishing quantitative process-structure-property relations. Confidence in the decision support, however, must be achieved by establishing uncertainty bounds in ICME model…

We analyze the uncertainties introduced in the determination of the neutron star matter proton fraction, in a range of densities close to the saturation density, if the cold $\beta$-equilibrium neutron star matter equation of state (EoS) is…

Nuclear Theory · Physics 2022-01-19 Pedro Barata de Tovar , Márcio Ferreira , Constança Providência

Nuclear yields are powerful probes of supernova explosions, their engines and their progenitors. In addition, as we improve our understanding of these explosions, we can use nuclear yields to probe dense matter and neutrino physics, both of…

Uncertainty estimation, which provides a means of building explainable neural networks for medical imaging applications, have mostly been studied for single deep learning models that focus on a specific task. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Leonhard F. Feiner , Martin J. Menten , Kerstin Hammernik , Paul Hager , Wenqi Huang , Daniel Rueckert , Rickmer F. Braren , Georgios Kaissis

X-ray burst model predictions of light curves and final composition of the nuclear ashes are affected by uncertain nuclear masses. However, not all of these masses are determined experimentally with sufficient accuracy. Here we identify…

High Energy Astrophysical Phenomena · Physics 2017-08-09 H. Schatz , W. -J. Ong

The density dependent term in Skyrme forces is essential, which simulates three-body and many-body correlations beyond the low-momentum two-body interaction. We speculate that a single density term may be insufficient and a higher-order…

Nuclear Theory · Physics 2018-05-01 Z. W. Zuo , J. C. Pei , X. Y. Xiong , Y. Zhu

Within two different frameworks of isospin-dependent transport model, effect of nuclear symmetry energy at supradensities on the isospin-fractionation (IsoF) was investigated. With positive/negative symmetry potential at supradensities…

Nuclear Theory · Physics 2014-10-17 Wen-Mei Guo , Gao-Chan Yong , Yongjia Wang , Qingfeng Li , Hongfei Zhang , Wei Zuo

The functional form of the nuclear symmetry energy has only been determined in a very narrow range of densities. Uncertainties concern both the low as well as the high density behaviour of this function. In this work different shapes of the…

Solar and Stellar Astrophysics · Physics 2013-11-19 David Edwin Alvarez-Castillo , Sebastian Kubis

State-of-the-art models based on nuclear Density Functional Theory are successful in the description of nuclei throughout the whole nuclear chart. Among them, some differences arise regarding their accuracy. For a given nuclear model, this…

Nuclear Theory · Physics 2025-10-23 Pietro Klausner , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

In spite of numerous scientific and practical applications, there is still no comprehensive theoretical description of the nuclear fission process based solely on protons, neutrons and their interactions. The most advanced simulations of…

Nuclear Theory · Physics 2025-10-29 N. Schunck , K. R. Quinlan , J. Bernstein

We study the bulk deformation properties of the Skyrme nuclear energy density functionals. Following simple arguments based on the leptodermous expansion and liquid drop model, we apply the nuclear density functional theory to assess the…

Nuclear Theory · Physics 2011-03-22 N. Nikolov , N. Schunck , W. Nazarewicz , M. Bender , J. Pei