The Effect of Surface Nucleon Density on the Total Potential of Di-Nuclear Systems

Abstract

The effect of the density of the surface nucleons on the calculation of the total potential in reactions where the participant nuclei are on the stability line and at least one of the participant nuclei is rich in neutrons has been studied. The results obtained by the analysis of the 16 O + 209 Bi, 16 O + 144 Nd, and 16 O + 144 Sm reactions using the HartreeFock calculations of the neutron and the proton densities show a decrease of about 0.67, 0.53, and 0.45 MeV of the fusion barrier height in comparison to the corresponding values obtained when the nuclear density is taken to be proportional to the nuclear charge. It is shown that this decrease is due to the variation of the ratio of the density of neutrons to that of the protons in outer regions of the nuclear densities of 209 Bi, 144 Nd, and 144 Sm nuclei.

The study of the nucleus-nucleus interaction potential for $^{16}$O+$^{27}$Al and $^{16}$O+$^{28}$Si fusion reactions

“…In this simulation technique, we have used the neutrons and protons densities for calculation of nuclear potential. This capability allows us to consider the effects of the surface nucleons in the calculation of interaction potential [9].…”

The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

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