Comparative folding-model study of low-energy elastic scattering and fusion of the 12C+12C and 16O+16O systems

Abstract

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 12C+12C and 16O+16O systems is then calculated within the double-folding model (DFM), using the realistic densities of 12C and 16O nuclei and CDM3YR interaction, for the optical model analysis of elastic scattering at low energies and determination of the astrophysical S factor of 12C+12C and 16O+16O 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. to explore the impact of medium effects that are effectively encoded in the density dependence of the CDM3YR interaction.

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