Abstract The nuclear surface tension coefficient, γ , of the proximity potential is systematically investigated from the microscopic double-folding (DF) model accompanied by the realistic density-dependent nucleon–nucleon (NN) interactions. In the present work, we select six versions of density-dependent M3Y–Paris effective NN forces, including DDM3Y1 (with K = 176 MeV ), CDM3Y1 (with K = 188 MeV ), CDM3Y3 (with K = 217 MeV ), CDM3Y5 (with K = 241 MeV), CDM3Y6 (with K = 252 MeV ) and BDM3Y1 (with K = 270 MeV ). A total of 70 heavy-ion fusion reactions with condition 48 ≤ Z 1 Z 2 ≤ 2460 for the charge product of their reacting nuclei have been analyzed. By fitting the calculated values against the asymmetry parameter A s , we present a new analytical formula for the parameter γ which is directly dependent on the nuclear matter (NM) incompressibility constant K . It is shown that the presently obtained formula in proximity potential model can reproduce the fusion data well. In this study, a discussion is also presented about the influence of the incompressibility constant K on the interaction potentials and also on the fusion cross sections resulting from the proximity approach for different heavy-ion reactions.

中文翻译：

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从密度依赖的核子-核子相互作用研究核邻近势中使用的表面能系数

摘要 从伴随现实密度依赖的核子-核子 (NN) 相互作用的微观双折叠 (DF) 模型系统地研究了邻近电位的核表面张力系数 γ 。在目前的工作中，我们选择了六个版本的密度相关 M3Y-Paris 有效 NN 力，包括 DDM3Y1（K = 176 MeV）、CDM3Y1（K = 188 MeV）、CDM3Y3（K = 217 MeV）、CDM3Y5（ K = 241 MeV）、CDM3Y6（K = 252 MeV）和 BDM3Y1（K = 270 MeV）。共分析了 70 个重离子聚变反应，条件 48 ≤ Z 1 Z 2 ≤ 2460 为其反应核的电荷产物。通过将计算值与不对称参数 A s 拟合，我们为参数 γ 提出了一个新的解析公式，该公式直接取决于核物质 (NM) 不可压缩常数 K。结果表明，目前得到的邻近电位模型公式可以很好地再现融合数据。在这项研究中，还讨论了不可压缩常数 K 对相互作用势的影响以及对不同重离子反应的邻近方法产生的聚变截面的影响。