Simultaneous study of elastic scattering and fusion in ¹⁶O+¹⁴⁴Sm: success of multi-step approximation method

Based on the optical model, simultaneous χ² analysis were performed on elastic scattering and fusion cross sections measured for the ³²S + ^58,64Ni system at several energies around Coulomb barrier. It is found that the real and imaginary part of the phenomenological optical potential show a pronounced energy dependence for the explanation of elastic scattering, in addition to this a large value of diffuseness parameter 'a' is required to explain the fusion cross section for this system. Further, accurate angular distributions of ¹⁶O ions scattered by ^58,60,62,64Ni have been measured at five energies between 60 and 120 MeV. They have also used the energy dependent potential and larger value of diffuseness parameter to explain fusion cross sections. The diffuseness parameter required to fit the high energy cross sections is higher than that required to fit elastic scattering data. Even the CC calculation failed to explain the oscillatory structure in barrier distribution function