$^{3}{rm He}(alpha, gamma)^{7}{rm Be}$ and $^{3}{rm H}(alpha,gamma)^{7}{rm Li}$ reaction rates and the implication for Big Bang nucleosynthesis in the potential model

The reaction rates of the direct astrophysical capture processes $^{3}{rm He}(alpha, gamma)^{7}{rm Be}$ and $^{3}{rm H}(alpha,gamma)^{7}{rm Li}$, as well as the abundance of the $^{7}{rm Li}$ element are estimated in the framework of a two-body potential model. The estimated $^{7}{rm Li/H}$ abundance ratio of $^{7}{rm Li/H}=(5.07pm 0.14 )times 10^{-10}$ is in a very good agreement with the recent measurement $^{7}{rm Li/H}=(5.0pm 0.3) times 10^{-10}$ of the LUNA collaboration.