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

Abstract

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 $^{7}{\rm Li/H}=(5.07\pm 0.14 )\times 10^{-10}$ is in a very good agreement with the recent measurement $^{7}{\rm Li/H}=(5.0\pm 0.3) \times 10^{-10}$ of the LUNA collaboration.