Abstract
The effect of the breakup channel on fusion reactions of weakly bound systems by means of semi-classical and full quantum mechanical approaches has been discussed. The total fusion reaction cross-section σfus and the fusion barrier distribution Dfus for the systems 4He+64Zn, 6Li+208Pb and 7Li+24Mg have been calculated. The inclusion of the breakup channel enhances the calculations of the fusion cross-section markedly below the Coulomb barrier and hindrance above the Coulomb barrier in comparison to the 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 and the fusion barrier distribution Dfus.
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