Investigation of the Nuclear Matter Distribution in the ⁶He and ⁸HeNuclei

In this paper, the fusion cross sections of ⁶He + ¹⁹⁷Au and ⁸He + ¹⁹⁷Au systems have been investigated at center-of-mass energies from below to above the Coulomb barrier, 14.5 to 60.0 and 15.0 to 29.0 MeV, respectively. The required nucleus-nucleus potential has been calculated by using the Monte Carlo method, applying four different phenomenological density distributions. The results obtained from both systems reveal that considering the suitable halo structure for distribution of the nuclear matter increases the height of fusion barrier, giving a better agreement with the experimental data. In addition, by using the generalized function of the two-parameter Fermi distribution for the nuclear density of the halo nucleons of ⁶He and ⁸He nuclei, a better agreement with experimental data was achieved. Using the same potential with the above-mentioned density distributions, we also studied the elastic scattering cross sections for the ⁶He + ¹⁹⁷Au system measured at E_lab. = 29 MeV and E_lab. = 40 MeV, with similar good results as for the fusion reaction.