Statistical and dynamical modeling of heavy-ion fusion–fission reactions

摘要

A modified statistical model and a four dimensional dynamical model based on Langevin equations have been used to simulate the fission process of the excited compound nuclei 207 At and 216 Ra produced in the fusion 19 F?+? 188 Os and 19 F?+? 197 Au reactions. The evaporation residue cross section, the fission cross section, the pre-scission neutron, proton and alpha multiplicities and the anisotropy of fission fragments angular distribution have been calculated for the excited compound nuclei 207 At and 216 Ra. In the modified statistical model the effects of spin K about the symmetry axis and temperature have been considered in calculations of the fission widths and the potential energy surfaces. It was shown that the modified statistical model can reproduce the above mentioned experimental data by using appropriate values of the temperature coefficient of the effective potential equal to λ = 0.0180 ± 0.0055 , 0.0080 ± 0.0030 ? MeV ? 2 and the scaling factor of the fission barrier height equal to r s = 1.0015 ± 0.0025 , 1.0040 ± 0.0020 for the compound nuclei 207 At and 216 Ra, respectively. Three collective shape coordinates plus the projection of total spin of the compound nucleus on the symmetry axis, K , were considered in the four dimensional dynamical model. In the dynamical calculations, dissipation was generated through the chaos weighted wall and window friction formula. Comparison of the theoretical results with the experimental data showed that two models make it possible to reproduce satisfactorily the above mentioned experimental data for the excited compound nuclei 207 At and 216 Ra.