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A recent paper [M. Rashdan, Phys. Rev. C 63, 044303 (2001)] introduces the new parameterization NL-RA1 of the relativistic mean-field model which is claimed to give a better description of nuclear properties than earlier ones. Using this…

Nuclear Theory · Physics 2009-11-07 M. Bender

We have optimized the parameters of extended relativistic mean-field model using a selected set of global observables which includes binding energies and charge radii for nuclei along several isotopic and isotonic chains and the iso-scalar…

Nuclear Theory · Physics 2015-06-04 B. K. Agrawal , A. Sulaksono , P. -G. Reinhard

In present study, we search the lambda magic number in hypernuclei within the framework of relativistic mean field theory (RMF) with inclusion of hyperon-nucleon and hyperon-hyperon potentials. Based on one- and two-lambda separation energy…

Nuclear Theory · Physics 2017-02-01 M. Ikram , Bharat Kumar , S. K. Biswal , S. K. Patra

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…

Nuclear Theory · Physics 2017-05-24 Tamara Nikšić , Marko Imbrišak , Dario Vretenar

We perform a systematic study of all the traditional neutron magic nuclei with $N$ = 8, 20, 28, 50, 82, and 126, from the neutron drip line to the proton drip line. We adopt the deformed relativistic mean field (RMF) theory as our framework…

Nuclear Theory · Physics 2007-05-23 L. S. Geng , H. Toki , J. Meng

We show that in the search of a unified mean field description of finite nuclei and of nuclear and neutron matter even at high densities, the relativistic nuclear model derived from effective field theory and density functional theory…

Nuclear Theory · Physics 2007-05-23 Tapas Sil , S. K. Patra , B. K. Sharma , M. Centelles , X. Vinas

We present global predictions of the ground state mass of atomic nuclei based on a novel Machine Learning (ML) algorithm. We combine precision nuclear experimental measurements together with theoretical predictions of unmeasured nuclei.…

Nuclear Theory · Physics 2023-04-19 M. R. Mumpower , M. Li , T. M. Sprouse , B. S. Meyer , A. E. Lovell , A. T. Mohan

Background: Average energies of nuclear collective modes may be efficiently and accurately computed using a non-relativistic constrained approach without reliance on a random phase approximation (RPA). Purpose: To extend the constrained…

Nuclear Theory · Physics 2015-06-15 Wei-Chia Chen , J. Piekarewicz , M. Centelles

In probabilistic modeling, parameter estimation is commonly formulated as a minimization problem on a parameter manifold. Optimization in such spaces requires geometry-aware methods that respect the underlying information structure. While…

Computation · Statistics 2025-11-17 Derun Zhou , Keisuke Yano , Mahito Sugiyama

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 systematically study the nuclear level densities of superheavy nuclei, including odd systems, using the single-particle energies obtained with the Woods-Saxon potential diagonalization. Minimization over many deformation parameters for…

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…

Nuclear Theory · Physics 2017-08-29 S. Cht. Mavrodiev , M. A. Deliyergiyev

Theoretical predictions of physical observables often involve extrapolations to regions that are poorly constrained by laboratory experiments and astrophysical observations. Without properly quantified theoretical errors, such model…

Nuclear Theory · Physics 2015-06-22 J. Piekarewicz , Wei-Chia Chen , F. J. Fattoyev

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

Bayesian neural network (BNN) approach is employed to improve the nuclear mass predictions of various models. It is found that the noise error in the likelihood function plays an important role in the predictive performance of the BNN…

Nuclear Theory · Physics 2018-01-30 Z. M. Niu , H. Z. Liang

We explore three different classes of relativistic approaches applied to the description of dense nuclear matter: a Walecka-type relativistic mean field model (RMF), an extension including an effective chiral potential (RMF-C) and a further…

Nuclear Theory · Physics 2022-05-17 R. Somasundaram , J. Margueron , G. Chanfray , H. Hansen

In this brief paper we revisit the Fisher information content of cosmological power spectra or two-point functions of Gaussian fields in order to comment on the assumption of Gaussian estimators and the use of parameter-dependent covariance…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-19 Julien Carron

Data on nuclear level densities extracted from transmission data or gamma energy spectrum store the basic statistical information about nuclei at various temperatures. Generally this extracted data goes through model fitting using computer…

Nuclear Theory · Physics 2019-09-17 Nishchal R. Dwivedi , Saniya Monga , Harjeet Kaur , Sudhir R. Jain

Background: Theoretical approaches based on density functional theory provide the only tractable method to incorporate the wide range of densities and isospin asymmetries required to describe finite nuclei, infinite nuclear matter, and…

Nuclear Theory · Physics 2015-06-22 Wei-Chia Chen , J. Piekarewicz

The data-driven Bayesian model averaging is a rigorous statistical approach to combining multiple models for a unified prediction. Compared with the individual model, it provides more reliable information, especially for problems involving…

Nuclear Theory · Physics 2024-01-19 Mengying Qiu , Bao-Jun Cai , Lie-Wen Chen , Cen-Xi Yuan , Zhen Zhang