$$^{3}\hbox{He} - \alpha $$ Radiative Capture Reaction by EFT

Abstract

We have investigated the $$^3\hbox{He} (\alpha ,\gamma ) ^7\hbox{Be}$$ 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 $$^{7}\hbox{Be}$$ 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.