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The averaged effective two-body interaction (\textit{AEI}) which can begenerated through the lowest order constrained variational (\textit{LOCV})method for symmetric nuclear matter (\textit{SNM}) with the input\textit{Reid}68 nucleon-nucleon potential, is used as the effectivenucleon-nucleon potential in the folding model to describe the heavy-ion(\textit{HI}) elastic scattering cross sections. The elastic scattering crosssections of $^{12}C-^{12}C$ and $^{16}O-^{16}O$ systems are calculated in theabove frameworks. The results are compared with the corresponding calculationscoming from the fitting procedures with the input finite range\textit{DDM3Y1-Reid} potential and the available experimental data at differentincident energies. It is shown that a reasonable description of the elastic$^{12}C-^{12}C$ and $^{16}O-^{16}O$ scattering data at the low and the mediumenergies can be obtained by using the above \textit{ LOCV AEI}, without anyneed to define a parameterize density dependent function in the effectivenucleon-nucleon potential, which is formally considered in the typical\textit{DDM3Y1-Reid} interactions.

physical review. c

Folding model analysis of $ ^{12}C- ^{12}C $ and $ ^{16}O- ^{16}O $  elastic scattering using the density-dependent LOCV averaged effective  interaction