Nuclear reaction theory is important, especially at low energies, as are predictions of the characteristics of the heaviest nuclei, including processes for laboratory synthesis, and realistic prediction of many theoretical models of nuclear reaction. The deuteron–alpha radiative capture process is important in the evolution of nuclear physics processes. This reaction is one of the most important processes that happens in stars when helium is transformed into heavier elements. The d(α,γ)6 Li reaction has been studied using effective field theory (EFT), up to next to leading order (NLO). The effects of three-body forces and Coulomb interaction between charged particles were examined assuming that α -particles had no structure. The scattering amplitude is calculated for the sum of the multipole transitions E1 and E2 at the starting state of the deuteron–α P-wave. The reported findings are consistent with the experimental data and previous theoretical computations, with energy relevant to Big-Bang Nucleosynthesis (BBN).
