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A convolutional neural network (CNN) is employed to investigate nuclear mass. By introducing the masses of neighboring nuclei and the paring effects at the input layer of the network, local features of the target nucleus are extracted to…

Nuclear Theory · Physics 2025-09-29 Yanhua Lu , Tianshuai Shang , Pengxiang Du , Jian Li , Haozhao Liang , Zhongming Niu

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

The accuracy of description of measured nuclear masses by presently used nuclear-mass models is studied. Twelve models of various kinds are considered, eleven of the global character and one local model specially adapted to description of…

Nuclear Theory · Physics 2019-03-05 Adam Sobiczewski , Yuri A. Litvinov , Michal Palczewski

Nuclear masses are predicted with the Bayesian neural networks by learning the mass surface of even-even nuclei and the correlation energies to their neighbouring nuclei. By keeping the known physics in various sophisticated mass models and…

Nuclear Theory · Physics 2022-08-10 Z. M. Niu , H. Z. Liang

Besides their intrinsic nuclear-structure value, nuclear mass models are essential for astrophysical applications, such as r-process nucleosynthesis and neutron-star structure. To overcome the intrinsic limitations of existing…

Nuclear Theory · Physics 2016-01-25 R. Utama , J. Piekarewicz , H. B. Prosper

Nuclear masses are of great importance in nuclear physics and astrophysics. Descriptive experimental data on nuclear masses and the prediction of unknown masses based on residual proton-neutron interactions are a focus in nuclear physics.…

Nuclear Theory · Physics 2020-05-18 B. B. Jiao

The binding energy (BE) or mass is one of the most fundamental properties of an atomic nucleus. Precise binding energies are vital inputs for many nuclear physics and nuclear astrophysics studies. However, due to the complexity of atomic…

Nuclear Theory · Physics 2022-10-07 Lin-Xing Zeng , Yu-Ying Yin , Xiao-Xu Dong , Li-Sheng Geng

New global statistical models of nuclidic (atomic) masses based on multilayered feedforward networks are developed. One goal of such studies is to determine how well the existing data, and only the data, determines the mapping from the…

Nuclear Theory · Physics 2008-11-26 S. Athanassopoulos , E. Mavrommatis , K. A. Gernoth , J. W. Clark

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

Despite great theoretical efforts the NN interaction can only be determined with a finite precision, implying an error upper bound for nuclear masses. We analyze for the first time the problem of estimating the systematic errors related to…

Nuclear Theory · Physics 2012-03-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Machine learning offers a powerful framework for validating and predicting atomic mass. We compare three improved neural network methods for representation and extrapolation for atomic mass prediction. The powerful method, adopting a…

Nuclear Theory · Physics 2025-03-18 Yiming Huang , Jinhui Chen , Jiangyong Jia , Lu-Meng Liu , Yu-Gang Ma , Chunjian Zhang

The accurate determination of the nuclear interaction potential is essential for predicting the fusion cross sections and understanding the reaction mechanism, which plays an important role in the synthesis of superheavy elements. In this…

Nuclear Theory · Physics 2024-02-27 Zepeng Gao , Siyu Liu , Peiwei Wen , Zehong Liao , Yu Yang , Jun Su , Yongjia Wang , Long Zhu

Binding energy is a fundamental thermodynamic property that governs molecular interactions, playing a crucial role in fields such as healthcare and the natural sciences. It is particularly relevant in drug development, vaccine design, and…

Quantum Physics · Physics 2025-08-06 Erico Souza Teixeira , Lucas Barros Fernandes , Yara Rodrigues Inácio

The kernel ridge regression (KRR) approach is extended to include the odd-even effects in nuclear mass predictions by remodulating the kernel function without introducing new weight parameters and inputs in the training network. By taking…

Nuclear Theory · Physics 2021-06-03 X. H. Wu , L. H. Guo , P. W. Zhao

Accurate estimates of the binding energy of nuclei far from stability that cannot be produced in the laboratory are crucial to our understanding of nuclear processes in astrophysical scenarios. Models based on energy density functionals…

Nuclear Theory · Physics 2022-11-08 W. Ryssens , G. Scamps , G. Grams , I. Kullmann , M. Bender , S. Goriely

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

The nuclear shell model is one of the successful models in theoretical understanding of nuclear structure. If a convenient effective interaction can be found between nucleons, various observables such as energies of nuclear states are…

Nuclear Theory · Physics 2020-01-24 Serkan Akkoyun , Nadjet Laouet , Fatima Benrachi

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

Some properties of the modified Bethe-Weizsacker mass formula (BWM) are discussed. As BWM has no shell effect included, the extra-stability or, magicity in nuclei clearly stands out when experimental mass data are compared with BWM…

Nuclear Theory · Physics 2007-05-23 C. Samanta , S. Adhikari

A neural-network model is developed to reproduce the differences between experimental nuclear mass-excess values and the theoretical values given by the Finite Range Droplet Model. The results point to the existence of subtle regularities…

Nuclear Theory · Physics 2007-05-23 S. Athanassopoulos , E. Mavrommatis , K. A. Gernoth , J. W. Clark
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