利用双折叠模型对弹核为α的熔合垒高度和位置的系统学分析

摘要

The relations of fusion barrier height and position to charge number and root-mean-square radus of the interacting nucleus forαprojectile 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 forαprojectile 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 forαprojectile 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.%本文系统分析了α粒子与不同的靶核熔合时,势垒高度和位置与相互作用核的电荷数和均方根半径的关系.通过基于密度依赖的核子-核子相互作用（CDM3Y6）的双折叠模型来计算核势.得到了当弹核为α时垒高度和位置的参数化公式.通过分析质量数从16到238的原子核表明,参数化公式可以精确地再现弹核为α的熔合反应的垒高度和位置,其精确度在土1%以内.此外,其结果还能很好地和实验值,经验值,Royer,KNS,AW和亲近势的结果相符合.