A density dependent nucleon-nucleon interaction (CDM3YR) has been parametrized based on the original M3Y-Reid interaction, to properly reproduce the saturation properties of symmetric nuclear matter (NM) in the nonrelativistic Hartree-Fock calculation with the energy of NM in a good agreement with the microscopic ab initio results over densities up to three times the saturation density. The real optical potential (OP) of symmetric ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ systems is then calculated within the double-folding model (DFM) using the realistic densities of ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ nuclei and CDM3YR interaction, for the optical model analysis of elastic scattering at low energies and determination of the astrophysical $S$ factor of ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ fusion in the barrier penetration model. The DFM calculation of the real OP for these two symmetric systems was also done using the original (density independent) M3Y-Reid interaction, and that added by a repulsive core suggested by Esbensen et al. [Phys. Rev. C 77, 054608 (2008); Phys. Rev. C 84, 064613 (2011)], to explore the impact of medium effects that are effectively encoded in the density dependence of the CDM3YR interaction.

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• Elastic scattering reactions
• Nuclear fusion
• Nuclear reactions