Eur. Phys. J. A 13, 285-289 (2002)
Isospin and
-dependence of the nuclear charge radii
S.Q. Zhang1, J. Meng1, 2, 3, S.-G. Zhou1, 2, 3 and J.Y. Zeng2, 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
Z1/3-dependence for the nuclear
charge radii is shown to be superior to the generally accepted
A1/3 law. A delicate scattering of data around
is inferred as owing to the isospin effect and a linear dependence
of
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
Z1/3 formula for the nuclear charge radii is
proposed.
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