The 3He(𝛼, 𝛾) 7Be radiative capture reaction has studied using the pionless Effective Field Theory (EFT) approach to determine the cross-section, astrophysical 𝑆-factor, and reaction rate in astrophysical energies. We have applied the Faddeev equation method, while taking three-body forces into account. The scattering amplitude in the 𝐸1 and 𝐸2 transitions to the 7Be ground state (𝑙𝑓 = 1, 𝐽𝑓 = 3∕2), has computed at Leading Order (LO) considering the Coulomb effects. The thermonuclear reaction results have normalized using NACRE 1999 experimental data. All results are compared with certain theoretical and experimental data and there is good agreement with this data.
