Isospin and Z$^{1/3}$ Dependence of the Nuclear Charge Radii

Details Isospin and Z$^{1/3}$ Dependence of the Nuclear Charge Radii Isospin and Z$^{1/3}$ Dependence of the Nuclear Charge Radii

2001-07-13

arxiv.org/abs/nucl-th/0107040v1

Eur.Phys.J. A13 (2002) 285-289

Physics

Nuclear Physics

Nuclear Theory

10 pages, 4 figures

Scientific paper

Based on the systematic investigation of the data available for $A \geq 40$, 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 $R_c/Z^{1/3}$ is infered as owing to the isospin effect and a linear dependence of $R_c/Z^{1/3}$ 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.

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