Soft-core Interaction for the 4,6He + 64Zn Fusion Reactions

In this paper, the cross section of the 4He + 64Zn and 6He + 64Zn reactions, at bombarding energies above and below the fusion barrier, has been investigated. Soft-core nucleon-nucleon interaction and the Monte Carlo method have been employed for studying the nuclear potential of the projectile-target system. One adjustable parameter has been chosen in this study. This parameter can change the depth of the soft-core potential. It has to be adjusted so that the calculated elastic scattering and fusion cross sections are in acceptable agreement with experimental data. Our results indicate that an increase in energy decreases the depth parameter of the soft-core nucleon-nucleon potential obtained from careful analysis the 4He + 64Zn and 6He + 64Zn reactions. Likewise, by comparing the results obtained from both reactions, one can observe that the calculated depth parameter for the reaction related to 6He is larger than that for 4He at the same energy, in particular at the sub-barrier energies. We try to explain this behavior.