Abstract
Recent dynamical fusion models for weakly bound nuclei at low incident energies, based on a time-dependent perspective, are briefly presented. The main features of both the PLATYPUS model and a new quantum approach are highlighted. In contrast to existing time-dependent quantum models, the present quantum approach separates the complete and incomplete fusion from the total fusion. Calculations performed within a toy model for Li-6 + Bi-209 at near-barrier energies show that converged excitation functions for total, complete and incomplete fusion can be determined with the time-dependent wave packet dynamics.