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We establish a relationship between the nucleon-nucleon interaction potential and the nuclear fusion reaction cross-sections at low energies. The axially deformed self-consistent relativistic mean field is used with the non-linear NL3∗ interaction parameter set. The Wong formula is used to estimate the fusion cross-section for Ni + Ni and Ca + U systems, which are known to display fusion hindrance phenomena. The results of the application of the nucleus-nucleus optical potential for the fusion cross-section from the recently developed effective relativistic NN -interaction (R3Y) potential is compared with the well-known, phenomenological M3Y potential. The results obtained from our present calculation for the R3Y interaction are reasonable good as compared to the M3Y potential concerning the available experimental at barrier energies. The present analysis pursues a full microscopic studies of fusion process at low energies by taking the R3Y potential along with the relativistic mean field density instead of taking the M3Y interaction within the double folding approach.

Effect of the nucleon-nucleon interaction on the fusion cross-section within the relativistic mean field formalism