Systematic analysis of the fusion barrier heights and positions for projectile using the double folding model

Abstract

The relations of fusion barrier height and position to charge number and root-mean-square radus of the interacting nucleus for projectile fusing with the different target nuclei are systematically analyzed in this paper. The nuclear potential is calculated by using the double folding model with the density-dependence nucleon-nucleon interaction(CDM3Y6). The pocket formulas are obtained for the fusion barrier height and position for projectile fusing with the different nuclei with mass in a range from 16 to 238. The parameterized formulas can reproduce the exact barrier heights and positions only for projectile within the accuracy of 1%. Moreover, the results are perfectly agreeable with the experimental data, the empirical data and the results of Royer, KNS, AW and the proximity potential.