Heavy-Ion Inelastic Scattering in a Multiphonon Excitation Model

摘要

The double differential inelastic scattering cross section around the grazing angle for the /sup 40/Ca+/sup 40/Ca system is evaluated within a model where the excited states are described in terms of multiphonons. The phonon states described in the RPA are excited through the action of the mean field associated with the other colliding nucleus. The excitation amplitudes are evaluated by integrating the equations of motion along classical trajectories. The feedback on the trajectory of the multiphonon excitation is taken into account. The cross section is then evaluated within a semiquantal approximation by summing the scattering amplitudes corresponding to the various classical trajectories. The results indicate that, within the model, states corresponding to the single and double excitation of the giant quadrupole mode are appreciably excited, giving rise to bumps in the cross section. Some qualitative comparisons with the experimental data are shown. (ERA citation 13:010268)