Folding model approach to the elastic p+12,13C scattering at low energies and radiative capture 12,13C(p,γ) reactions

The proton radiative capture ^12,13C$(p,\gamma )$ reactions at astrophysical energies, key processes in the CNO cycle, are revisited in the potential model with the proton-nucleus potential for both the scattering and bound states obtained in the folding model, using a realistic density dependent nucleon-nucleon interaction. For the consistency, this same folding model is also used to calculate the optical potential of the elastic $p{+}^{12,13}$C scattering at energies around the Coulomb barrier. The folded $p{+}^{12,13}$C optical potentials are shown to account well for both the elastic $p{+}^{12,13}$C scattering and astrophysical S factors of the radiative capture ^12,13C$(p,\gamma )$ reactions.