标题： 密度相关的全局$α$-核子相互作用用于$α$-核弹性散射 显示英文标题

标题： Global density-dependent $α$-nucleon interaction for $α$-nucleus elastic scattering

摘要： 我们提供了一个全局性的密度依赖型$^4$氦核-核子（DD-$\alpha N$）相互作用，用于构建宽能量范围内的$\alpha$核光学模型势（OMP）。 基于质子-$^4$氦核 OMP 的全局参数化 DD-$\alpha N$相互作用是在 12.04–500 MeV/核子的入射能量范围内很好地再现弹性散射截面数据而获得的。 我们通过折叠程序并利用基于当前 DD-$\alpha N$相互作用的微观平均场模型得到的点核子密度来推导$\alpha$核势。 DD-$\alpha N$相互作用的密度依赖性被经验地固定下来，以再现由$\alpha$核与靶核（氧$^{16}$、钙$^{40}$、镍$^{58}$、锆$^{90}$和铅$^{208}$核）在$E/A =$10至342.5 MeV 能量范围内的弹性散射截面数据。 我们还展示了总反应截面，这对于确定一个自由参数（即用于调整$\alpha$核势虚部的重正化因子）很有帮助。最后，我们展示了一些例子，它们清楚地证明了目前 DD-$\alpha N$方法的有效性和强大之处。 显示英文摘要

摘要： We provide a global density-dependent $^4$He-nucleon (DD-$\alpha N$) interaction to construct the $\alpha$-nucleus optical model potential (OMP) in a wide range of incident energies. The global parametrization for the DD-$\alpha N$ interaction is obtained based on the proton-$^4$He OMP which reproduces the elastic scattering cross-section data very well in the incident energies of 12.04--500 MeV per nucleon. We derive the $\alpha$-nucleus potential by a folding procedure with the point-nucleon density obtained by a microscopic mean-field model using the present DD-$\alpha N$ interaction. The density dependence of the DD-$\alpha N$ interaction is fixed phenomenologically to reproduce the $\alpha$-nucleus elastic scattering cross-section data by the $^{16}$O, $^{40}$Ca, $^{58}$Ni, $^{90}$Zr, and $^{208}$Pb targets at $E/A =$ 10--342.5 MeV. We also show the total reaction cross sections, which are helpful in fixing one free parameter, the renormalization factor for the imaginary part of the $\alpha$-nucleus potential. Lastly, we show some examples, which clearly demonstrate the validity and power of the present DD-$\alpha N$ approach.