In order to make the theoretical calculation feasible , we first obtain an analytical formalism of partial integrals with respect to the coordinates of the core and target in the phase - shift functions and their cross terms of scattering matrix elements , if the density distributions of the core and target are fitted to a few gaussian forms . then the rest multidimensional integrals with respect to the impact parameter and coordinates of halo nucleons are performed by a monte carlo method 為使理論計算變得可行,我們在核芯和靶核密度采用多個高斯分布擬合的情況下,解析求解了各個散射矩陣元中的光學相移函數及交叉項含有的與暈核核芯、靶核密度分布有關的積分;同時對與碰撞參數和暈核子坐標有關的積分(八重以上,并且積分維數隨暈核子數很快增加)采用蒙特卡洛方法計算。