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 timedependent quantum models, the present quantum approach separates the complete and incomplete fusion from the total fusion. Calculations performed within a toy model for 6 Li + 209 Bi at near-barrier energies show that converged excitation functions for total, complete and incomplete fusion can be determined with the time-dependent wavepacket dynamics.

Highlights

  • Nuclear reactions constitute the engine of stars and control nucleosynthesis

  • Calculations performed within a toy model for 6Li + 209Bi at near-barrier energies show that converged excitation functions for total, complete and incomplete fusion can be determined with the time-dependent wavepacket dynamics

  • The present contribution addresses the fusion dynamics of weakly bound nuclei from a time-dependent perspective which is interesting, as it provides an intuitive picture of the reaction dynamics and how reaction observables are set during a nuclear collision

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Summary

Introduction

Nuclear reactions constitute the engine of stars and control nucleosynthesis. They are the key tool for extracting the properties of exotic nuclei at rare-isotope beam facilities. The present contribution addresses the fusion dynamics of weakly bound nuclei from a time-dependent perspective which is interesting, as it provides an intuitive picture of the reaction dynamics and how reaction observables are set during a nuclear collision. Most of the low-lying states of weakly-bound nuclei have a few-body cluster structure. The strong coupling to that continuum is essential for understanding the reaction dynamics. A classical and a quantum mechanical model, which are based on a time-dependent perspective, are discussed below

The PLATYPUS model
Time-dependent wave-packet dynamics
Summary
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