Nuclear charge radii in Bayesian neural networks revisited

Abstract

In this work, a refined Bayesian neural network (BNN) based approach with six inputs including the proton number, mass number, and engineered features associated with the pairing effect, shell effect, isospin effect, and ``abnormal" shape staggering effect of ${}^{181,183,185}$Hg, is proposed to accurately describe nuclear charge radii. The new approach is able to well describe the charge radii of atomic nuclei with $A\ge 40$ and $Z\ge 20$. The standard root-mean-square (rms) deviation is $0.014$ fm for both the training and validation data. In particular, the predicted charge radii of proton-rich and neutron-rich calcium isotopes are found in good agreement with data. We further demonstrate the reliability of the BNN approach by investigating the variations of the rms deviation with extrapolation distances, mass numbers, and isospin asymmetries.

16 pages, 6 figures

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Cited by in corpus (14)

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• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Odd-even shape staggering and kink structure of charge radii of Hg isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Global prediction of nuclear charge density distributions using deep neural network
• Jensen-Shannon Divergence Based Novel Loss Functions for Bayesian Neural Networks
• Nuclear mass predictions based on convolutional neural network
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Shell quenching in nuclear charge radii based on Monte Carlo dropout Bayesian neural network
• Quantifying uncertainty in machine learning on nuclear binding energy
• Predictions of charge density distributions for nuclei with $Z\ge 8$
• Implication of odd-even staggering in the charge radii of calcium isotopes