基于密度相关LOCV平均有效相互作用的$ ^{12}C- ^{12}C $和$ ^{16}O- ^{16}O $弹性散射折叠模型分析
Folding model analysis of $ ^{12}C- ^{12}C $ and $ ^{16}O- ^{16}O $ elastic scattering using the density-dependent LOCV averaged effective interaction
摘要：
采用对称核物质的最低阶约束变分（\textit{LOCV}）方法（\textit{SNM}），以\textit{Reid} ~（68）核子-核子相互作用势为输入，生成平均有效两体相互作用（\textit{AEI}），作为折叠模型中的有效核子-核子相互作用势来描述重离子（\textit{HI}）弹性散射截面.计算了$^{12}C-^{12}C$和$^{16}O-^{16}O$体系的弹性散射截面。将计算结果与输入有限程\textit{DDM3Y1-Reid}势和不同入射能量下的实验数据拟合得到的结果进行了比较。结果表明，在典型的\textit{DDM3Y1-Reid}相互作用中，不需要在有效核子-核子势中定义一个参数密度依赖函数，利用上述的\textit{ LOCV AEI}就可以对中、低能的弹性$^{12}C-^{12}C$和$^{16}O-^{16}O$散射数据进行合理的描述.
英文摘要：
The averaged effective two-body interaction (\textit{AEI}) which can be generated through the lowest order constrained variational (\textit{LOCV}) method for symmetric nuclear matter (\textit{SNM}) with the input \textit{Reid}68 nucleon-nucleon potential, is used as the effective nucleon-nucleon potential in the folding model to describe the heavy-ion (\textit{HI}) elastic scattering cross sections. The elastic scattering cross sections of $^{12}C-^{12}C$ and $^{16}O-^{16}O$ systems are calculated in the above frameworks. The results are compared with the corresponding calculations coming from the fitting procedures with the input finite range \textit{DDM3Y1-Reid} potential and the available experimental data at different incident energies. It is shown that a reasonable description of the elastic $^{12}C-^{12}C$ and $^{16}O-^{16}O$ scattering data at the low and the medium energies can be obtained by using the above \textit{ LOCV AEI}, without any need to define a parameterize density dependent function in the effective nucleon-nucleon potential, which is formally considered in the typical \textit{DDM3Y1-Reid} interactions.
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