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

TL;DR

This paper models the radiative capture of deuterons by alpha particles to form lithium-6 using cluster effective field theory, calculating electromagnetic transition amplitudes and fitting the astrophysical S-factor to experimental data.

Contribution

It introduces a cluster effective field theory approach to compute the astrophysical S-factor for the $d( ext{alpha}, ext{gamma})^6 ext{Li}$ reaction, providing a new theoretical framework.

Findings

Calculated dominant E1 and E2 transition amplitudes.

Fitted the astrophysical S-factor to experimental data.

Compared CEFT results with other theoretical models.

Abstract

In this study, we focus on the radiative capture process of the deuteron on alpha particle leading to the formation of $^6{\textrm{Li}}$ in the two-body formalism through the cluster effective field theory~(CEFT). It was the primitive nuclear reaction to produce ${^6 \textrm{Li}}$ in a few minutes after the Big Bang. In detail, we outline the calculation of the dominant $E1$ and $E2$ electromagnetic transition amplitudes of $d(\alpha,\gamma ){^6\textrm{Li}}$. 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.