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Predictions of nuclear charge radii based on the convolutional neural network

nuclear Science and Techniques 2023年第10期34卷 83-90页

作者： Ying-Yu Cao Jian-You Guo Bo Zhou Key Laboratory of nuclear Physics and Ion‑beam Application(MOE) Institute of Modern PhysicsFudan UniversityShanghai 200433China School of Physics and Optoelectronics Engineering Anhui UniversityHefei 230601China Shanghai Research Center for Theoretical nuclear Physics NSFC and Fudan UniversityShanghai 200438China

In this study, we developed a neural network that incorporates a fully connected layer with a convolutional layer to predict the nuclear charge radii based on the relationships between four local nuclear charge radii. The convolutional neural network(CNN) combines the isospin and pairing effects to describe the charge radii of nuclei with A ≥ 39 and Z ≥ 20. The developed neural network achieved a root mean square(RMS) deviation of 0.0195 fm for a dataset with 928 nuclei. Specifically, the CNN reproduced the trend of the inverted parabolic behavior and odd–even staggering observed in the calcium isotopic chain, demonstrating reliable predictive capability.

关键词： nuclear charge radii Machine learning Neural network

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Evolution of nuclear charge radii in copper and indium isotopes

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Chinese Physics C 2022年第6期46卷 138-146页

作者： Rong An Xiang Jiang Li-Gang Cao Feng-Shou Zhang Key Laboratory of Beam Technology of Ministry of Education Institute of Radiation TechnologyBeijing Academy of Science and TechnologyBeijing 100875China Key Laboratory of Beam Technology of Ministry of Education College of Nuclear Science and TechnologyBeijing Normal UniversityBeijing 100875China College of Physics and Optoelectronic Engineering Shenzhen UniversityShenzhen 518060China Center of Theoretical nuclear Physics National Laboratory of Heavy Ion Acceleator of LanzhouLanzhou 730000China

Systematic trends in nuclear charge radii are of great interest due to universal shell effects and odd-even staggering(OES).The modified root mean square(rms)charge radius formula,which phenomenologically accounts for the formation of neutron-proton(np)correlations,is here applied for the first time to the study of odd-Z copper and indium *** results obtained by the relativistic mean field(RMF)model with NL3,PK1 and NL3^(*)parameter sets are compared with experimental *** results show that both OES and the abrupt changes across N=50 and 82 shell closures are clearly reproduced in nuclear charge *** inverted parabolic-like behaviors of rms charge radii can also be described remarkably well between two neutron magic numbers,namely N=28 to 50 for copper isotopes and N=50 to 82 for indium *** implies that the np-correlations play an indispensable role in quantitatively determining the fine structures of nuclear charge radii along odd-Z isotopic ***,our conclusions have almost no dependence on the effective forces.

关键词： nuclear charge radii neutron-proton correlations relativistic mean field theory odd-even staggering shell closure

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Predictions of nuclear charge radii

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Chinese Physics C 2023年第8期47卷 75-80页

作者：李光胜橙许鲍曼 Department of Physics University of Shanghai for Science and TechnologyShanghai 200093China

In this study,we improve the relations of the charge-radius difference of two isotopes by considering a term that relates to the proton number and the parity of the neutron *** correction reduces the root-mean-squared deviation to 0.0041 fm for 651 nuclei with a neutron number larger than 20,in comparison with experiment-al data compiled in the CR2013 *** improved relations are combined with local relations consisting of the charge radii of four neighboring *** combinations also prove to be efficient in describing and predicting nuclear charge radii and can reflect the structure evolutions of *** predictions of 2467 unknown nuclear charge radii at competitive accuracy,which are calculated using these two types of relations,are tabulated in the Supplemental Material.

关键词： nuclear charge radii isotopes root-mean-squared deviation

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