Semiclassical treatment of fusion and breakup processes of $$^{6,8}$$ 6 , 8 He halo nuclei

Abstract

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.