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Detail study of application of the relativistic mean-field effective NN forces for heavy-ion fusion within a dynamical model

In the analysis of the heavy-ion above-barrier fusion cross-sections of complex nuclei, the relativistic effects are usually ignored. In the present work, we undertake a step toward accounting for these effects. Namely, the nucleus-nucleus interaction potential is obtained using the double-folding model with six different effective nucleon-nucleon (NN) forces coming from the Relativistic Mean Field (RMF) theory. We also compare our present results with the ones obtained with the non-relativistic M3Y NN-forces. In all calculations, the nuclear densities resulting from the Hartree-Fock approach with the SKX-Skyrme forces accounting for the tensor part are used. Our calculations show that four sets of the considered RMF forces cannot be used for describing heavy ion fusion. Of the remaining two sets, one results in the barriers which are too high not leaving any room for the dissipative effects. Only the potentials calculated using the NL2 NN-forces allow to reproduce the experimental cross-sections within the framework of the fluctuation-dissipation trajectory model with surface friction with a typical accuracy of 3-5%. The values of the variable parameter of the model which defines the friction strength resulting from the present calculations are systematically lower than those obtained earlier with the M3Y NN-forces.