Isospin and $\mth{Z^{1/3}}$-dependence of the nuclear charge radii

S.Q. Zhang; J. Meng; S.-G. Zhou; J.Y. Zeng

doi:doi:10.1007/s10050-002-8757-6

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2021 Impact factor 3.131

Hadrons and Nuclei

Eur. Phys. J. A 13, 285-289 (2002)

Isospin and $\mth{Z^{1/3}}$ -dependence of the nuclear charge radii

S.Q. Zhang¹, J. Meng^{1, 2, 3}, S.-G. Zhou^{1, 2, 3} and J.Y. Zeng^{2, 3, 4}

¹ Department of Technical Physics, Peking University, Beijing 100871, PRC
² Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, PRC
³ Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, PRC
⁴ Department of Physics, Peking University, Beijing 100871, PRC

mengj@pku.edu.cn

(Received: 23 September 2001 / Revised version: 14 January 2002 Communicated by P. Schuck )

Abstract
Based on the systematic investigation of the data available for nuclei with $A \geq 40$ , a Z^1/3-dependence for the nuclear charge radii is shown to be superior to the generally accepted A^1/3 law. A delicate scattering of data around $R_{\rm c}/Z^{1/3}$ is inferred as owing to the isospin effect and a linear dependence of $R_{\rm c}/Z^{1/3}$ on N/Z (or (N-Z)/2) is found. This inference is well supported by the microscopic Relativistic Continuum Hartree-Bogoliubov (RCHB) calculation conducted for the proton magic Ca, Ni, Zr, Sn and Pb isotopes including the exotic nuclei close to the neutron drip line. With the linear isospin dependence provided by the data and RCHB theory, a new isospin-dependent Z^1/3 formula for the nuclear charge radii is proposed.

PACS
21.10.-k - Properties of nuclei; nuclear energy levels.
21.10.Ft - Charge distribution.
21.10.Dr - Binding energies and masses.
21.60.-n - Nuclear-structure models and methods.

© Società Italiana di Fisica, Springer-Verlag 2002