Novel Bayesian neural network based approach for nuclear charge radii

Xiao-Xu Dong, Rong An, Jun-Xu Lu, and Li-Sheng Geng
Phys. Rev. C 105, 014308 – Published 10 January 2022

Abstract

Charge radius is one of the most fundamental properties of a nucleus. However, a precise description of the evolution of charge radii along an isotopic chain is highly nontrivial, as reinforced by recent experimental measurements. In this paper, we propose a novel approach which combines a three-parameter formula and a Bayesian neural network. We find that the novel approach can describe the charge radii of all A40 and Z20 nuclei with a root-mean-square deviation about 0.015 fm. In particular, the charge radii of the calcium isotopic chain are reproduced very well, including the parabolic behavior and strong odd-even staggerings. We further test the approach for the potassium isotopes and show that it can describe well the experimental data within uncertainties.

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  • Received 24 September 2021
  • Accepted 24 December 2021

DOI:https://doi.org/10.1103/PhysRevC.105.014308

©2022 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Xiao-Xu Dong1, Rong An2,3, Jun-Xu Lu4,1,*, and Li-Sheng Geng1,5,6,†

  • 1School of Physics, Beihang University, Beijing 102206, China
  • 2Key Laboratory of Beam Technology of Ministry of Education, Institute of Radiation Technology, Beijing Academy of Science and Technology, Beijing 100875, China
  • 3Key Laboratory of Beam Technology of Ministry of Education, College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China
  • 4School of Space and Environment, Beihang University, Beijing 102206, China
  • 5Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China
  • 6School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China

  • *ljxwohool@buaa.edu.cn
  • lisheng.geng@buaa.edu.cn

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Vol. 105, Iss. 1 — January 2022

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