Radiative capture reaction d(α,γ)6Li is the only process in the Big-Bang model that produces 6Li. We develop the formalism based on pionless Effective Field Theory (EFT) for deuteron-alpha scattering to derive the crosssection of deuteron-alpha radiative capture. Based on this model, nucleons and alpha particle interact through separable two-body forces. The alpha particle is assumed point particleandtheastrophysicalS-factorforthe d(α,γ)6Li reactioniscalculatedinthelow-energies.Thecoulombeffects are also considered as a coulomb correction in the crosssectionfortwofirstelectricmultipoletransitions,uptoNext to Leading Order (NLO). The obtained results are shown a satisfactory agreement between theoretical and experimental results for the calculated observables.
