Folding model analyses of 12C-12C and 16O-16O elastic scattering using the density-dependent LOCV-averaged effective interaction

The averaged effective two-body interaction (AEI), which can be generated through the lowest order constrained variational (LOCV) method for symmetric nuclear matter (SNM) with the input [Reid68, Ann. Phys. 50, 411 (1968)] nucleon-nucleon potential, is used as the effective nucleon-nucleon potential in the folding model to describe the heavy-ion (HI) elastic scattering cross sections. The elastic scattering cross sections of C-12-C-12 and O-16-O-16 systems are calculated in the above framework. The results are compared with the corresponding calculations coming from the fitting procedures with the input finite range DDM3Y 1-Reid potential and the available experimental data at different incident energies. It is shown that a reasonable description of the elastic C-12-C-12 and O-16-O-16 scattering data at the low and medium energies can be obtained by using the above LOCV AEI, without any need to define a parametrized density-dependent function in the effective nucleon-nucleon potential, which is formally considered in the typical DDM3Y 1-Reid interactions.