Open AccessImproved WKB Approximation for Nuclear Fusion Reactions
Author(s) -
Hayder Jasim Musa,
Fouad A. Majeed,
Ali Taher Mohi
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/871/1/012063
Subject(s) - wkb approximation , semiclassical physics , fusion , probability distribution , physics , quantum , quantum mechanics , statistical physics , mathematics , statistics , philosophy , linguistics
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 σ fus , the barrier distribution of fusion D fus and the probability of fusion P fus for the light systems 6 Li+ 64 Zn, 13 C+ 48 Ti and 16 O+ 46 Ti. 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 σ fus , the distribution of fusion barrier D fus and the probability of fusion P fus .