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

he relations of fusion barrier height and position to charge number and root-mean-square radus of the interacting nucleus for a 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 a 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 a 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.