https://doi.org/10.1140/epja/i2015-15040-1
Regular Article - Theoretical Physics
An effective formula for nuclear charge radii
1
School of Science, Anhui University of Science and Technology, 232007, Huainan, China
2
School of Electronic Science and Applied Physics, Hefei University of Technology, 230009, Hefei, China
* e-mail: zqsheng@aust.edu.cn
Received:
8
February
2015
Accepted:
16
March
2015
Published online:
7
April
2015
Based on a systematic investigation on the experimental nuclear charge radii for 834 nuclei with A ≥ 40, an effective five-parameter formula is proposed to describe nuclear charge radii by combining the effects of the Casten factor and the odd-even staggering. The calculated nuclear charge radii are in good agreement with the experimental data available. The corresponding root-mean-square deviation falls to σ = 0.0223 fm, which is reduced by more than 50% compared with the results of the conventional three-parameter formula. The proposed formula can well reproduce the shell effect and the odd-even staggering. The calculated results for some typical isotopic chains are listed to compare with results calculated from the Hartree-Fock method.
© SIF, Springer-Verlag Berlin Heidelberg, 2015
