A simple microscopic approach to the energy dependence of the real and imaginary parts of the heavy-ion interaction potential

Abstract

A simple microscopic model has been presented to calculate the energy dependence of the real and imaginary parts of the heavy-ion interaction potential. The results obtained from a simple effective interaction and Skyrme interaction in this formalism show that the imaginary part of the potential becomes more and more attractive with increasing relative centre-of-mass energy ECM unlike the real part of the potential which exhibits a 'switching over' phenomenon. The elastic scattering cross sections for 16O+40Ca (ECM=28.57 MeV) and 40Ca+40Ca (ECM=71.8, 88, 93, 112.5 and 120 MeV) calculated from such potentials are in good agreement with the phenomenological results. Values of the Fresnel interaction radius, the grazing angular momentum and the total cross section obtained in the sharp cut-off model from the elastic scattering angular distributions of 40Ca+40Ca are consistent with their corresponding values computed from the optical model calculation. The position and height of the fusion barrier and fusion cross sections of 40Ca+40Ca at different values of ECM calculated in the Hill-Wheeler parabolic approximation also compare well with the experimental results.