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

Authors: Fouad A. Majeed; Khalid H.H. AlAteah; Malik S. Mehemed

Addresses: Department of Physics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq ' Department of Physics, College of Science, University of Babylon, Babylon, Iraq ' Department of Physics, College of Science, University of Babylon, Babylon, Iraq

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 σ_fus, the fusion barrier distribution D_fus 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 σ_fus, the fusion barrier distribution D_fus and the probability of the reaction.

Keywords: semi-classical treatment; quantum treatment; breakup reaction; light systems; medium systems.

DOI: 10.1504/IJNEST.2017.090652

International Journal of Nuclear Energy Science and Technology, 2017 Vol.11 No.4, pp.291 - 308

Received: 03 Jul 2017
Accepted: 25 Sep 2017
Published online: 25 Mar 2018 *

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