Abstract
In this study, we have developed a mathematical approach to enhance the calculation of the probability of the WKB approximation in the semiclassical approach. This enhanced method was applied to study the total cross section of fusion reaction σfus , the barrier distribution of fusion Dfus and the probability of fusion Pfus for the light systems 6Li+64Zn, 13C+48Ti and 16O+46Ti. A quantum coupled-channel calculation is conducted using CC code with all order coupling to compare it with the calculations of the semiclassical method before and after improvement of the WKB probability. The improved approach used with WKB enhances the semiclassical calculations and more closer our theoretical results to the measured data to be in more agreement with the treatment of quantum mechanics which agrees with the measured data for the total reaction cross section σfus , the distribution of fusion barrier Dfus and the probability of fusion Pfus .
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