Coupled channel calculations using semi-classical and quantum mechanical approaches for light and medium mass systems

Abstract

A semi-classical and full quantum mechanical approaches have been used to study the effect of channel coupling on the calculations of the total fusion reaction cross-section σfus, the fusion barrier distribution Dfus and the reaction probability for the light systems (4He+233U, 13C+48Ti) and the medium system (46Ti+46Ti). The semi-classical approach used in the present work is based on the method of the Alder and Winther for Coulomb excitation. The results obtained from our semi-classical and full quantum mechanical calculations are compared with the available experimental data. The semi-classical calculations agree reasonably with the full quantum mechanical treatment and they were able to reproduce the experimental data in details for the total fusion reaction cross-section σfus, the fusion barrier distribution Dfus and the probability of the reaction.