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Machine learning methods and uncertainty quantification have been gaining interest throughout the last several years in low-energy nuclear physics. In particular, Gaussian processes and Bayesian Neural Networks have increasingly been…

Nuclear Theory · Physics 2022-07-27 A. E. Lovell , A. T. Mohan , T. M. Sprouse , M. R. Mumpower

We propose Radial Bayesian Neural Networks (BNNs): a variational approximate posterior for BNNs which scales well to large models while maintaining a distribution over weight-space with full support. Other scalable Bayesian deep learning…

Machine Learning · Statistics 2021-06-01 Sebastian Farquhar , Michael Osborne , Yarin Gal

Using the charge density from the two-parameter Fermi model, a robust and nontrival correlation between binding energis and charge radii of mirror nuclei is newly proposed. This correlation enables simple yet reliable predictions of the…

Nuclear Theory · Physics 2024-11-26 Y. Lei , N. A. Alam , Z. Z. Qin , M. Bao , K. Y. Zhang , C. Ma

In the presented review we discuss the problem of extraction the parameters of nuclear matter and charge distribution in stable and unstable isotopes. A substantial amount of information on the nuclear radii and other distribution…

Nuclear Theory · Physics 2015-03-18 G. D. Alkhazov , I. S. Novikov , Yu. Shabelski

In the paper, it is discussed by using Monte-Carlo simulation that the Bayesian Neural Network(BNN) is applied to determine neutrino incoming direction in reactor neutrino experiments and supernova explosion location by scintillator…

Data Analysis, Statistics and Probability · Physics 2009-01-27 Weiwei Xu , Ye Xu , Yixiong Meng , Bin Wu

Nuclear astrophysics centers on the role of nuclear physics in the cosmos. In particular, nuclear masses at the limits of stability are critical in the development of stellar structure and the origin of the elements. In this contribution we…

Nuclear Theory · Physics 2018-01-24 R. Utama , J. Piekarewicz

Accurate modeling of neutron-induced (n,p) reaction cross sections is essential for diverse applications in nuclear physics, including reactor design, nuclear astrophysics, and radionuclide production. However, experimental data are often…

Nuclear Theory · Physics 2026-03-06 Arunabha Saha , Songshaptak De

We demonstrate that the matter density distribution in the surface region is determined well by the use of the relatively low-intensity beams that become available at the upcoming radioactive beam facilities. Following the method used in…

Nuclear Theory · Physics 2009-11-07 Akihisa Kohama , Ryoichi Seki , Akito Arima , Shuhei Yamaji

Nuclear charge radii of $^{7,9,10,11}$Be have been determined by high-precision laser spectroscopy. On-line measurements were performed with collinear laser spectroscopy in the $2s_{1/2} \to 2p_{1/2}$ transition on a beam of Be$^{+}$ ions.…

We introduce a robust, interpretable machine learning (ML) framework that combines numerical regression for high-accuracy predictions with symbolic regression to uncover the underlying physics. This hybrid approach effciently derives…

Nuclear Theory · Physics 2025-12-09 B. Maheshwari , P. Van Isacker

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

Machine Learning · Computer Science 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

We propose an experiment to measure the nuclear charge radii of light elements with up to 20~times higher accuracy. These are essential both for understanding nuclear physics at low energies, and for experimental and theoretical…

One of the main challenges in modeling massive stars to the onset of core collapse is the computational bottleneck of nucleosynthesis during advanced burning stages. The number of isotopes formed requires solving a large set of…

We introduce a new method, called CNNAS (convolutional neural networks for atomistic systems), for calculating the total energy of atomic systems which rivals the computational cost of empirical potentials while maintaining the accuracy of…

Materials Science · Physics 2018-03-21 Kevin Ryczko , Kyle Mills , Iryna Luchak , Christa Homenick , Isaac Tamblyn

The prediction of the atomistic structure and properties of crystals including defects based on ab-initio accurate simulations is essential for unraveling the nano-scale mechanisms that control the micromechanical and macroscopic behaviour…

Through ensemble learning with multitasking and complex connection neural networks, we aggregated nuclear properties, including ground state charge radii, binding energies, and single-particle state information obtained from the Kohn-Sham…

Nuclear Theory · Physics 2023-10-18 Zu-Xing Yang , Xiao-Hua Fan , Zhi-Pan Li , Haozhao Liang

Nuclear density functional theory provides a unified description of finite nuclei and bulk nuclear matter, and is widely used to model the neutron star equation of state. However, extrapolations to supra-saturation densities require a…

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

Nuclear radius is a fundamental structural observable that informs many properties of atomic nuclei and nuclear matter. Experimental studies of radii in drip line nuclei are in the forefront of research with radioactive ion beams. Of…

Nuclear Theory · Physics 2026-03-25 Y. R. Lin , S. M. Wang , W. Nazarewicz

The application of density functional theory to nuclear structure is discussed, highlighting the current status of the effective action approach using effective field theory, and outlining future challenges.

Nuclear Theory · Physics 2009-11-10 R. J. Furnstahl