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# Understanding low-energy reaction dynamics of weakly bound nuclei

Maddalena Boselli

The physics of low-energy nuclear reaction is important in the study of the nucleosynthesis of heavy elements and energy production in the universe.

I am going to present a one-dimensional quantum mechanical model of low-energy collisions of a weakly bound nucleus with a stable target.

When a few-body projectile nucleus characterised by having a small binding energy interacts with a stable target, because of the high probability for the projectile to undergo a breakup process, several reaction channels are simultaneously open at a given incident energy. We are focused on setting

up a quantitative model to describe the fusion processes. Among the events related with the fusion of the projectile with the target, we can distinguish between processes where just part of the projectile constituents are captured by the target (called incomplete fusion), and events where the projectile, as a whole or all its constituents if it was dissociated previously, is fully fused with the target (complete fusion). At the present, there are several model which describe this kind of reactions, but they are limited either because are based on classical mechanics (neglecting important features of quantum mechanics such as the tunneling effect) or because are unable to distinguish between incomplete and complete fusion events. Looking at the location of the projectile constituents in the coordinate space, we are able to compute unambiguously the incomplete and complete fusion cross sections.

Our aim is to compare our calculations with experimental data, so we need to set up a three-dimensional version of the model. I will shortly make some comments about the construction of the three-dimensional model which we are currently working on.