In this study the calculations of the total fusion reaction cross section have been performed for fusion reaction systems 17F + 208Pb and 15C + 232Th which involving halo nuclei by using a semiclassical approach.The semiclassical treatment is comprising the WKB approximation to describe the relative motion between target and projectile nuclei, and Continuum Discretized Coupled Channel (CDCC) method to describe the intrinsic motion for both target and projectile nuclei. For the same of comparsion a full quantum mechanical clacualtions have been preforemd using the (CCFULL) code. Our theorticalrestuls are compared with the full quantum mechaincialcalcuations and with the recent experimental data for the total fusion reaction  checking the stability of the distancesThe coupled channel calculations of the total fusion cross section σfus, and the fusion barrier distribution Dfus. The comparsion with experiment proves that the semiclassiacl approach adopted in the present work reproduce the experimental data better that the full quantal mechanical calcautions.Â
Abstract Fusion cross sections were measured for the systems 40 Ar+ 144 Sm, 40 Ar+ 148 Sm and 40 Ar+ 154 Sm above and under Coulomb barrier to understand the role of coupled channels effects involved in barriers fusion. The fusion barriers distributions and fusion probabilities were analyzed using the semiclassical mechanical code which called Sequential Complete Fusion (SCF) as well as Full Coupled Channel code (CCFULL). These calculations show that the observed fusion cross sections fusion barrier distribution and fusion probabilities for these systems are reproduced clearly in the semiclassical mechanical for all excitation states above and under Coulomb barrier.
The elastic channel coupling in the fusion reaction calculations is of Controversial nature due to its results of either enhancing or hinder the fusion reaction calculations under the Coulomb barrier. The study of the effect of channel coupling by means of two quantum mechanical approaches by introducing the concept of the excitation function on the cross section of fusion calculations "σF (mb)", barrier distributions "DF (mb/MeV)" and the probability PF for the systems 16O+16O, 12C+12C and 16O+12C. The excitation functions represent the main and important part in the fusion reaction calculations, therefore it is incorporated in different quantum mechanical approaches form the compression with the corresponding measured data showed that the channel coupling considered by means of the excitation function enhances the calculations especially under the Coulomb barrier. This comparison showed that although the approach adopted in the CC code is more simpler that the CCFULL code, but it is very competitive and might be considered as compensate for the well-known CCFULL calculations.
Semiclassical and full quantum mechanical approaches are used to study the effect of channel coupling on the calculations of the total fusion reaction cross section σfus and the fusion barrier distribution Dfus for the systems 6Li + 64Ni, 11B + 159Tb, and 12C + 9Be. The semiclassical approach used in the present work is based on the method of the Alder and Winther for Coulomb excitation. Full quantum coupled-channel calculations are carried out using CCFULL code with all order coupling in comparison with our semiclassical approach. The semiclassical calculations agree remarkably with the full quantum mechanical calculations. The results obtained from our semiclassical calculations are compared with the available experimental data and with full quantum coupled-channel calculations. The comparison with the experimental data shows that the full quantum coupled channels are better than semiclassical approach in the calculations of the total fusion cross section σfus and the fusion barrier distribution Dfus.
A semiclassical approach has been used to study the effect of channel coupling on the calculations of the total fusion reaction cross section $$\sigma _\text{fus}$$ , and the fusion barrier distribution $$D_\text{fus}$$ for the systems $$^{6}$$ He $$+^{238}$$ U and $$^{8}$$ He $$+^{197}$$ Au. Since these systems invloves light exotic nuclei, breakup states channel play an important role that should be considered in the calculations. In semiclassical treatment, the relative motion between the projectile and target nuclei is approximated by a classical trajectory while the intrinsic dynamics is handled by time-dependent quantum mechanics. The calculations of the total fusion cross section $$\sigma _\text{fus}$$ , and the fusion barrier distribution $$D_\text{fus}$$ are compared with the full quantum mechanical calculations using the coupled-channels calculations with all order coupling using the computer code and with the available experimental data.