Folding model approach to the elastic $p{+}^{12,13}$C scattering at low energies and radiative capture ${}^{12,13}$C$(p,\gamma )$ reactions

Abstract

The proton radiative capture ${}^{12,13}$C$(p,\gamma )$ 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 $p{+}^{12,13}$C3 scattering and astrophysical $S$ factors of the radiative capture ${}^{12,13}$C$(p,\gamma )$ reactions.

Accepted for publication in Nuclear Physics A

References in corpus (5)

• Equation of state of the neutron star matter, and the nuclear symmetry energy
• Folding model study of the isobaric analog excitation: isovector density dependence, Lane potential and nuclear symmetry energy
• Rearrangement term in the nonlocal folding model of the nucleon optical potential
• Internal and external radiative widths in the combined R-matrix and potential model formalism
• Neutron transition strengths of $2_1^{+}$ states in the neutron rich Oxygen isotopes determined from inelastic proton scattering

Cited by in corpus (4)

• Bound-to-continuum potential model for the $(p,\gamma )$ reactions of the CNO cycle
• Low-energy ${}^7$Li($n,\gamma$)${}^8$Li and ${}^7$Be($p,\gamma$)${}^8$B radiative capture reactions within the Skyrme Hartree-Fock approach
• Study of nonlocality effects in direct capture reactions with Lagrange-mesh $R$-matrix method
• Potential model with bound-to-continuum approach for low-energy nucleon radiative capture by ${}^{12}$C and ${}^{16}$O