Radiative capture of proton by $^{12}\mathrm{C}$ at low energy

Within the framework of potential cluster model, astrophysical S-factor of radiative capture reaction \(^{12}\mathrm{C} (\mathrm{p},\gamma)^{13}\mathrm{N}\) has been calculated in the two body cluster model for the energy range 0–1 MeV. The nuclear interaction in the initial and final states is described by the Woods–Saxon potential. The calculated astrophysical S-factor and rates are compared with known experimental results.