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The distribution of electric charge in atomic nuclei is fundamental to our understanding of the complex nuclear dynamics and a quintessential observable to validate nuclear structure models. We explore a novel approach that combines…

Nuclear Theory · Physics 2016-10-19 Raditya Utama , Wei-Chia Chen , Jorge Piekarewicz

We introduce a new framework for the low-energy nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular…

Nuclear Theory · Physics 2024-08-01 Masaaki Kimura , Yasutaka Taniguchi

The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding…

Nuclear Theory · Physics 2026-04-10 Anagh Venneti , Chiranjib Mondal , Sk Md Adil Imam , Sarmistha Banik , Bijay K. Agrawal

For light nuclei, ab initio many-body methods such as the no-core shell model are the tools of choice for predictive, high-precision nuclear structure calculations. The applicability and the level of precision of these methods, however, is…

Nuclear Theory · Physics 2024-07-29 Tobias Wolfgruber , Marco Knöll , Robert Roth

Charge radius is one of the most fundamental properties of a nucleus. However, a precise description of the evolution of charge radii along an isotopic chain is highly nontrivial, as reinforced by recent experimental measurements. In this…

Nuclear Theory · Physics 2022-01-19 Xiao-Xu Dong , Rong An , Jun-Xu Lu , Li-Sheng Geng

Reliably predicting nuclear properties across the entire chart of isotopes is important for applications ranging from nuclear astrophysics to superheavy science to nuclear technology. To this day, however, all the theoretical models that…

Nuclear Theory · Physics 2025-10-29 Aman Sharma , Nicolas Schunck , Kyle Wendt

Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or…

Nuclear Theory · Physics 2020-06-19 N. Schunck , J. O'Neal , M. Grosskopf , E. Lawrence , S. M. Wild

We present a hierarchical Bayesian inference approach to estimating the structural properties and the phase space center of a globular cluster (GC) given the spatial and kinematic information of its stars based on lowered isothermal cluster…

Astrophysics of Galaxies · Physics 2023-11-21 Robin Y. Wen , Joshua S. Speagle , Jeremy J. Webb , Gwendolyn M. Eadie

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

We introduce a Bayesian protocol based on artificial neural networks that is suitable for modeling inclusive electron-nucleus scattering on a variety of nuclear targets with quantified uncertainties. Unlike previous applications in the…

Nuclear Theory · Physics 2024-06-11 Joanna E. Sobczyk , Noemi Rocco , Alessandro Lovato

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

Methodology · Statistics 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

Bayesian networks are graphical models to represent the probabilistic relationships between variables in the Bayesian framework. The knowledge of all variables can be updated using new information about some of the variables. We show that…

Data Analysis, Statistics and Probability · Physics 2021-10-22 Georg Schnabel , Roberto Capote , Arjan Koning , David Brown

In the last years, chiral effective field theory has been successfully developed for and applied to systems with few nucleons. Here, I present a new approach for ab initio calculations of nuclei that combines these precise and systematic…

Nuclear Theory · Physics 2015-05-27 Ulf-G. Meißner

Modern nuclear data evaluation increasingly requires not only accurate scattering calculations, but also efficient methods for uncertainty quantification and parameter optimization, tasks that benefit from differentiable solvers amenable to…

Nuclear Theory · Physics 2026-05-28 Jin Lei

The artificial neural networks (ANNs) have emerged with successful applications in nuclear physics as well as in many fields of science in recent years. In this paper, by using (ANNs), we have constructed a formula for the nuclear charge…

Nuclear Theory · Physics 2013-04-01 S. Akkoyun , T. Bayram , S. O. Kara , A. Sinan

A comprehensive assessment of theoretical uncertainties defines an important frontier in nuclear structure research. Ideally, theory predictions include uncertainty estimates that take into account truncation effects from both the…

Nuclear Theory · Physics 2026-02-23 Isak Svensson , Alexander Tichai , Kai Hebeler , Achim Schwenk

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…

Nuclear Theory · Physics 2023-08-31 M. Imbrišak , K. Nomura

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding…

Nuclear Theory · Physics 2022-10-19 Emanuel V. Chimanski , Eun Jin In , Jutta E. Escher , Sophie Péru , Walid Younes

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

Molecular Networks · Quantitative Biology 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

Reduced basis methods provide a powerful framework for building efficient and accurate emulators. Although widely applied in many fields to simplify complex models, reduced basis methods have only been recently introduced into nuclear…

Nuclear Theory · Physics 2022-10-12 Amy L. Anderson , Graham L. O'Donnell , J. Piekarewicz
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