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

## TL;DR

This study estimates reaction rates for key nuclear processes involving helium and lithium isotopes using a potential model, providing results consistent with recent measurements and implications for Big Bang nucleosynthesis.

## Contribution

The paper introduces a two-body potential model to estimate reaction rates and lithium abundance, aligning theoretical predictions with recent experimental data.

## Key findings

- Estimated $^{7}{
m Li/H}$ abundance matches recent measurements.
- Reaction rates are consistent with observational data.
- Implications for Big Bang nucleosynthesis models.

## 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.