Novel ansatz for charge radii in density functional theories

Rong An, Li-Sheng Geng, and Shi-Sheng Zhang
Phys. Rev. C 102, 024307 – Published 6 August 2020

Abstract

Charge radii are one of the most fundamental properties of atomic nuclei characterizing their charge distributions. Though the general trend as a function of the mass number is well described by the A1/3 rule, some fine structure, such as the evolution along the calcium isotopic chain and the corresponding odd-even staggerings, are notoriously difficult to describe both in density functional theories and ab initio methods. In this work, we propose a novel ansatz to describe the charge radii of calcium isotopes by adding a correction term, proportional to the number of Cooper pairs and determined by the BCS amplitudes and a single parameter, to the charge radii calculated in the relativistic mean field model with the pairing interaction treated with the BCS method. It is shown that the new ansatz yields results consistent with data not only for calcium isotopes, but also for 10 other isotopic chains, including oxygen, neon, magnesium, chromium, nickel, germanium, zirconium, cadmium, tin, and lead. It is quite remarkable that this ansatz with a single parameter can describe nuclear charge radii throughout the periodic table, particularly the odd-even staggerings and parabolic behavior.

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  • Received 6 May 2020
  • Accepted 23 July 2020

DOI:https://doi.org/10.1103/PhysRevC.102.024307

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Rong An1, Li-Sheng Geng1,2,3,4,*, and Shi-Sheng Zhang1,†

  • 1School of Physics, Beihang University, Beijing 100191, China
  • 2Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China
  • 3Beijing Advanced Innovation Center for Big Data-Based Precision Medicine, School of Medicine and Engineering, Beihang University, Beijing 100191, China
  • 4School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China

  • *lisheng.geng@buaa.edu.cn
  • zss76@buaa.edu.cn

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Issue

Vol. 102, Iss. 2 — August 2020

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