We have investigated the ~3He(α,γ)~7Be radiative capture reaction using the pionless Effective Field Theory (EFT). The amplitude, cross-section, and S-factor for the E_1 and E_2 transitions to the ~7Be ground state have been computed using the Faddeev equation approach up to Next-to Leading Order in the astrophysical energy range. Our aim has been the study of Coulomb interaction effects and the contribution of EFT higher-order calculations in optimizing the results. The computed S-factor for the reaction agrees with experimental data and previous theoretical calculations.
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