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相关论文: Nuclear mass predictions with radial basis functio…

200 篇论文

Bulk nuclear observables such as charge radii and binding energies are well described by both nonrelativistic and covariant mean-field models. However, predictions of neutron radii, which are not tightly constrained by reliable data, vary…

核理论 · 物理学 2009-07-09 R. J. Furnstahl

For the last decades, multiple international facilities have developed Radioactive-Ion Beams (RIB) to measure reaction processes including exotic nuclei. These measurements coupled with an accurate theoretical model of the reaction enable…

核理论 · 物理学 2017-02-21 Chloë Hebborn , Pierre Capel

A machine-learnable variational scheme using Gaussian radial basis functions (GRBFs) is presented and used to approximate linear problems on bounded and unbounded domains. In contrast to standard mesh-free methods, which use GRBFs to…

数值分析 · 数学 2024-10-10 Jonas A. Actor , Anthony Gruber , Eric C. Cyr , Nathaniel Trask

We have performed for the first time a complete $r$-process mass sensitivity study in the $N=82$ region. We take into account how an uncertainty in a single nuclear mass propagates to influence important quantities of neighboring nuclei,…

核理论 · 物理学 2022-10-26 M. Mumpower , D. -L. Fang , R. Surman , M. Beard , A. Aprahamian

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…

核理论 · 物理学 2016-10-19 Raditya Utama , Wei-Chia Chen , Jorge Piekarewicz

Radial basis functions (RBFs) play an important role in function interpolation, in particular in an arbitrary set of interpolation nodes. The accuracy of the interpolation depends on a parameter called the shape parameter. There are many…

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

Diffusion probabilistic models (DPMs) are widely adopted for their outstanding generative fidelity, yet their sampling is computationally demanding. Polynomial-based multistep samplers mitigate this cost by accelerating inference; however,…

机器学习 · 计算机科学 2026-03-17 Soochul Park , Yeon Ju Lee , SeongJin Yoon , Jiyub Shin , Juhee Lee , Seongwoon Jo

The dependence on the structure functions and Z, N numbers of the nuclear binding energy is investigated within the inverse problem(IP) approach. This approach allows us to infer the underlying model parameters from experimental…

核理论 · 物理学 2018-03-16 S. Cht. Mavrodiev , M. A. Deliyergiyev

Background: Mean-field methods based on an energy density functional (EDF) are powerful tools used to describe many properties of nuclei in the entirety of the nuclear chart. The accuracy required on energies for nuclear physics and…

核理论 · 物理学 2015-12-29 W. Ryssens , P. -H. Heenen , M. Bender

We compute the mass radius, scalar radius, tensor radius, baryon number radius and mechanical radius of nuclei with baryon number $B=1,2,3,4,5,6,7,8,32,108$ in the Skyrme model. The relations between these radii and the nuclear…

高能物理 - 唯象学 · 物理学 2024-04-24 Alberto García Martín-Caro , Miguel Huidobro , Yoshitaka Hatta

Constraining the nuclear matter equation of state (EOS) beyond saturation density is a central goal of nuclear physics and astrophysics. While the relativistic Brueckner-Hartree-Fock (RBHF) theory, an \textit{ab initio,} non-perturbative…

核理论 · 物理学 2025-12-23 Kangmin Chen , Xiaoying Qu , Hui Tong , Sibo Wang , Yangyang Yu

We study the nuclear symmetry energy S(rho) and related quantities of nuclear physics and nuclear astrophysics predicted generically by relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) models. We establish a simple prescription…

核理论 · 物理学 2012-08-27 F. J. Fattoyev , W. G. Newton , Jun Xu , Bao-An Li

This article studies Bayesian model averaging (BMA) in the context of competing expensive computer models in a typical nuclear physics setup. While it is well known that BMA accounts for the additional uncertainty of the model itself, we…

统计方法学 · 统计学 2019-08-26 Vojtech Kejzlar , Léo Neufcourt , Taps Maiti , Frederi Viens

We formalized the nuclear mass problem in the inverse problem framework. This approach allows us to infer the underlying model parameters from experimental observation, rather than to predict the observations from the model parameters. The…

核理论 · 物理学 2017-08-29 S. Cht. Mavrodiev , M. A. Deliyergiyev

We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent…

核理论 · 物理学 2008-11-26 H. Nakada

We apply recently developed effective field theory nuclear models in mean field approximation (parameter sets G1 and G2) to describe ground-state properties of nuclei from the valley of $\beta$-stability up to the drip lines. For faster…

核理论 · 物理学 2010-12-23 M. Del Estal , M. Centelles , X. Viñas , S. K. Patra

This work presents a framework to inversely quantify uncertainty in the model parameters of the friction model using earthquake data via the Bayesian inference. The forward model is the popular rate- and state- friction (RSF) model along…

计算工程、金融与科学 · 计算机科学 2021-04-23 Saumik Dana , Karthik Reddy Lyathakula

The shell effect and isospin effect in nuclear charge radii are systematically investigated and a four-parameter formula is proposed for the description of the root-mean-square (rms) charge radii by combining the shell corrections and…

核理论 · 物理学 2013-08-07 Ning Wang , Tao Li

Over the past decade, a number of algorithms for full-field elastic strain estimation from neutron and X-ray measurements have been published. Many of the recently published algorithms rely on modelling the unknown strain field as a…

计算物理 · 物理学 2020-07-10 A. W. T. Gregg , J. N. Hendriks , C. M. Wensrich , N. O'Dell