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

We incorporate a microscopic relativistic nuclear potential obtained from the recently developed relativistic R3Y $NN$ potential in the coupled-channels code ccfull to study fusion dynamics. The R3Y $NN$ potential and the densities of interacting nuclei are obtained for the relativistic mean-field approach for the $\mathrm{NL}{3}^{*}$ parameter set. Note 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., ${}_{16}O+{}_{24}\mathrm{Mg}, {}_{18}O+{}_{24}\mathrm{Mg}, {}_{16}O+{}_{148}\mathrm{Sm}, {}_{16}O+{}_{176}\mathrm{Hf}, {}_{16}O+{}_{176}\mathrm{Yb}, {}_{16}O+{}_{182}W$, and ${}_{16}O+{}_{186}W$. A comparison is also made with the cross sections calculated using the nuclear potential obtained from the traditional Woods-Saxon potential and the widely used M3Y $NN$ potential within ccfull. The coupled-channels 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 the 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.