Radiative Capture Reaction $d(\alpha ,\gamma {)}^6\mathrm{Li}$ in Cluster Effective Field Theory

Abstract

In this study, we focus on the radiative capture process of the deuteron on alpha particle leading to the formation of ${}^6\text{Li}$ in the two-body formalism through the cluster effective field theory~(CEFT). It was the primitive nuclear reaction to produce ${}^6\text{Li}$ in a few minutes after the Big Bang. In detail, we outline the calculation of the dominant $E1$ and $E2$ electromagnetic transition amplitudes of $d(\alpha ,\gamma ){}^6\text{Li}$. Then, we obtain the astrophysical S-factor by fitting it to the experimental data. Finally, we compare the obtained CEFT results for the astrophysical S-factor with the other theoretical results.