Implementation of the microscopic nuclear potential in the coupled channels calculations to study the fusion dynamics of Oxygen based reactions

Abstract: In the present work, we have incorporated the microscopic relativistic nuclear potential obtained from recently developed relativistic R3Y NN potential in the coupled channels code CCFULL to study the fusion dynamics. The R3Y NN-potential and the densities of interacting nuclei are obtained for the relativistic mean-field approach for the NL3$^*$ parameter set. It is to be noted that the R3Y NN potential can be expressed in terms of masses of the mesons and their couplings by considering the meson degrees of freedom within the relativistic mean field, which has a form similar to the widely used M3Y potential. We focused on the fusion cross-sections for $Oxygen$-based reactions with targets from different mass regions of the periodic table i.e. $^{16}$O + $^{24}$Mg, $^{18}$O + $^{24}$Mg, $^{16}$O + $^{148}$Sm, $^{16}$O + $^{176}$Hf, $^{16}$O + $^{176}$Yb, $^{16}$O + $^{182}$W, and $^{16}$O + $^{186}$W. A comparison is also made with the ones calculated using the nuclear potential obtained from the traditional Woods-Saxon potential and the widely used M3Y NN potential within CCFULL. The coupled channel calculations are performed with shape and rotational degrees of freedom to examine the fusion enhancement at below-barrier energies. It is observed from the calculations that the fusion cross-sections obtained using R3Y NN potential with rotational degrees of freedom are found to be more consistent with the experimental data than those for the M3Y and Woods-Saxon potentials mainly at below barrier energies.