Cluster effective field theory and nuclear reactions

An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $\alpha$ capture on $^{12}$C the Gamow-peak energy, $T_G=0.3$ MeV, fundamental quantity in nuclear-astrophysics, and we construct an EFT reaction. To fix parameters appearing Lagrangian, applied to study three reactions: elastic $\alpha$-$^{12}$C scattering energies, $E1$ transition $^{12}$C, $\beta$ delayed emission from $^{16}$N. We report estimate $S_{E1}$-factor through $T_G$ by employing EFT. also discuss applications EFTs reactions energies.