The 3He(α,γ)7Be reaction as one of the twelve reactions in Big-Bang Nucleosynthesis (BBN) has an important role in making light nuclei. Measuring its cross section within the range of astrophysical energies can answer many questions in astrophysics. In this work, we used the Effective Field Theory (EFT) method to find the radiative capture cross section of the 3He(α,γ)7Be reaction in the astrophysical energy range. We calculated the astrophysical S-factor in the E1 and E2 transitions to the ground state (lf = 1, Jf = 3/2), at Leading Order (LO). The results of this procedure are in good agreement with the other theoretical methods and the available experimental results.
