Applications of Skyrme energy-density functional to fusion reactions spanning the fusion barriers

Abstract

The Skyrme energy density functional has been applied to the study of heavy-ion fusion reactions.The barriers for fusion reactions are calculated by the Skyrme energy density functional with proton and neutron density distributions determined by using restricted density variational (RDV) method within the same energy density functional together with semi-classical approach known as the extended semi-classical Thomas-Fermi method. Based on the fusion barrier obtained, we propose a parametrization of the empirical barrier distribution to take into account the multi-dimensional character of real barrier and then apply it to calculate the fusion excitation functions in terms of barrier penetration concept. A large number of measured fusion excitation functions spanning the fusion barriers can be reproduced well. The competition between suppression and enhancement effects on sub-barrier fusion caused by neutron-shell-closure and excess neutron effects is studied. * Electronic address: Ning.Wang@theo.

Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei

“…The experimental data can be reasonably well reproduced with all the three sets of parameters listed in Table 1. The arrows denote the most probable barrier height based on the barrier distribution function adopted in the ETF2 approach [9]. For fusion at energies below the Coulomb barrier, the dynamical fluctuations in the densities of the reaction partners result in the lowering of the barrier height for the fusion events, which will be further discussed later.…”

“…The calculations of the fusion (capture) excitation functions are of significant importance for the study of the nuclear structure and test of the models. The fusion (capture) cross sections of heavy-ion reactions can be predicted with some static models [8][9][10][11][12][13][14], in which the nucleus-nucleus potential is calculated under frozen density approximation or simply described by using the Woods-Saxon potential and the fusion (capture) probability is then obtained based on the barrier penetration concept together with the calculated nucleus-nucleus potential. The influence of the microscopic effects on the fusion barrier are empirically described by the barrier distribution function or absorbed in the model parameters.…”

Pre-neutron-emission Mass Distributions for Reaction 232 Th( n, f ) up to 60 MeV

“…(1) will be simplified as the three harmonic-oscillator functions [1]. The positions A 1 and A 2 are obtained from the nucleus-nucleus driving potential of the fissile nucleus 233 Th [1,15,16]. With increasing the incident neutron energy, the excitation energy of the compound nucleus will become higher, and a few neutrons will be evaporated before scission.…”

Systematics of fusion probability in “hot” fusion reactions

“…Here, the quasi-fission barrier height B qf is defined as the depth of the capture pocket in the entrance-channel potential (see the sub-figure in Fig. 2), which is calculated by using the Skyrme energy-density functional [30] together with the extended ThomasFermi approximation including all terms up to the second order in the spatial derivatives (ETF2) as mentioned in [22]. For calculating the shell corrections in Fig.…”