ИСТИНА

The Strong nucleus-nucleus Potential (SnnP) is of principal importance for understanding nuclear molecules [1] and for the synthesis of the superheavy nuclei [2]. Nucleon density distributions are known to play a crucial role in finding the SnnP by means of the double folding model [2], [3]. The best way is to calculate the densities in a microscopic manner, i.g. by the Hartree-Fock approach [4]–[6]. However, such calculations are rather complicated and computer resources consuming. That is why in the present work we develop a novel fast algorithm for evaluating the proton and neutron densities for spherical nuclei. The algorithm is based on five benchmarking densities coming from the Hartree-Fock approach: 12C, 16O, 36S, 92Zr, 144Sm, 208Pb. Each of these microscopic densities is approximated by a combination of a Woods-Saxon profile with an exponential tail having a variable (i.e. radial dependent) diffuseness (WST profile). For the nuclei with the charge number between the benchmarking ones we perform a linear interpolation of the parameters defining the WST profile. As a test for the WST-algorithm we find the nuclear charge density distributions for several spherical nuclei and compare those with the experimental Fourier-Bessel distributions from [7]. The agreement seems to be rather good. Then we calculate the barrier height and radii for several fusion reactions involving two spherical nuclei using the well-known M3Y nucleon-nucleon interaction. The calculated barrier parameters are compared with the experimental ones from [8]. The calculated barriers are systematically higher than the experimental ones indicating importance of the dissipative phenomena in the above-barrier collision process [5], [6].