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Coupled channel calculations using semi-classical and quantum mechanical approaches for light and medium mass systems
Fouad A. Majeed; Khalid H.H. AlAteah; Malik S. Mehemed
International Journal of Nuclear Energy Science and Technology, Vol. 11, No. 4 (2017) pp. 291 - 308
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 σ<SUB align="right">fus, the fusion barrier distribution D<SUB align="right">fus and the reaction probability for the light systems (<SUP align="right">4</SUP>He+<SUP align="right">233</SUP>U, <SUP align="right">13</SUP>C+<SUP align="right">48</SUP>Ti) and the medium system (<SUP align="right">46</SUP>Ti+<SUP align="right">46</SUP>Ti). 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 σ<SUB align="right">fus, the fusion barrier distribution D<SUB align="right">fus and the probability of the reaction.
| Authors: | Fouad A. Majeed; Khalid H.H. AlAteah; Malik S. Mehemed | |
| Journal: | International Journal of Nuclear Energy Science and Technology | |
| Volume: | 11 | |
| edition: | 4 | |
| Year: | 2018 | |
| Pages: | 291 | |
| DOI: | 10.1504/IJNEST.2017.090652 | |
| Publication date: | 26-Mar-2018 |
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