Mean-field description of heavy-ion scattering at low energies and fusion

The nuclear mean-field potential built up during the ^(12)C+^(12)C and ^(16)O+^(16)O collisions at low energies relevant for the carbon-and oxygen-burning processes is constructed within the double-folding model(DFM) using the realistic ground-state densities of^(12)C and^(16)O, and CDM3Yn density-dependent nucleon–nucleon(NN) interaction. The rearrangement term, indicated by the Hugenholtz–van Hove theorem for the single-particle energy in nuclear matter, is properly considered in the DFM calculation. To validate the use of the density-dependent NN interaction at low energies, an adiabatic approximation was suggested for the dinuclear overlap density. The reliability of the nucleus–nucleus potential predicted through this low-energy version of the DFM was tested in the optical model(OM) analysis of the elastic^(12)C+^(12)C and ^(16)O+^(16)O scattering data at energies below 10 MeV/nucleon.These OM results provide a consistently good description of the elastic angular distributions and 90 excitation function. The dinuclear mean-field potential predicted by the DFM is further used to determine the astrophysical S factor of the ^(12)C+^(12)C and ^(16)O+^(16)O fusions in the barrier penetration model. Without any adjustment of the potential strength, our results reproduce the non-resonant behavior of the S factor of the ^(12)C+^(12)C and ^(16)O+^(16)O fusions very well over a wide range of energies.

The nuclear mean-field potential built up during the ^12C ＋ ^12C and ^16O ＋ ^16O collisions at low energies relevant for the carbon- and oxygen-burning processes is constructed within the double-folding model （DFM） using the realistic ground-state densities of ^12C and ^16O, and CDM3Yn density-dependent nucleon-nucleon （NN） interaction. The rearrangement term, indicated by the Hugenholtz-van Hove theorem for the single-particle energy in nuclear matter, is properly considered in the DFM calculation. To validate the use of the density-dependent NN interaction at low energies, an adiabatic approximation was suggested for the dinuclear overlap density. The reliability of the nucleus-nucleus potential predicted through this low-energy version of the DFM was tested in the optical model （OM） analysis of the elastic ^12C ＋ ^12C and ^16O ＋ ^16O scattering data at energies below 10 MeV/nucleon. These OM results provide a consistently good description of the elastic angular distributions and 90° excitation function. The dinuclear mean-field potential predicted by the DFM is further used S factor of the ^12C ＋ ^12C to determine the astrophysical and ^16O ＋ ^16O fusions in the bmxier penetration model. Without any adjustment of the potential strength, our results reproduce the non-resonant behavior of the S factor of the ^12C ＋ ^12C and ^16O ＋ 16O fusions very well over a wide range of energies.