Diffuseness Parameters of Woods?Saxon Potential for Heavy-Ion Systems through Large-Angle Quasi-Elastic Scattering

In this paper, analyses on the nuclear potential for heavy ion systems, namely 48Ti, 54Cr, and 64Ni + 208Pb systems, have been performed through large-angle quasi-elastic scattering at sub-barrier energies. At energies around the Coulomb barrier height, it has been well known that the effect of channel couplings, that is the coupling between the relative motion of the colliding nuclei and their intrinsic motions as well as transfer processes, plays an important role. Therefore, a coupled-channels procedure must be applied to take account of this effect. A modified version of a computer code ccfull has been employed in order to perform these complex calculations. The nuclear potential is assumed to have a Woods-Saxon form, which is characterized by the surface diffuseness parameter, the potential depth, and the radius parameter. In order to find the best fitted value of the diffuseness parameter in comparison with the experimental data, the chi square method 2 is used. The best fitted value of the diffuseness parameter for studying systems obtained through a coupled-channel calculation with inert Target and vibrational Projectile. The calculated ratio of the quasi-elastic to the Rutherford cross sections for 48Ti, 54Cr and 64Ni + 208Pb systems give a good agreement using a = 0.44 fm, 0.67 fm and a=0.67 fm, respectively.