Cross-sections of neutron rich nuclei from projectile fragmentation: canonical thermodynamic model estimates

TL;DR

This paper demonstrates that the canonical thermodynamic model accurately reproduces the fragmentation cross-sections of neutron-rich nuclei, providing a theoretical basis for an empirically observed dependence on binding energy.

Contribution

It shows that the canonical thermodynamic model can effectively predict neutron-rich nuclei fragmentation cross-sections, enhancing understanding of experimental data.

Findings

Model reproduces key features of neutron-rich nuclei fragmentation

Supports empirical dependence of cross-section on binding energy

Provides theoretical insight into experimental observations

Abstract

A remarkably simple dependence of fragmentation cross-section on average binding energy has been established in experimental data. This dependence was empirically parametrised leading to a very useful formula for extrapolation. We find that the canonical thermodynamic model, which has been used in the past for successful computations of many observables resulting from multifragmentation, reproduces the salient fetures of fragmentation cross-sections of very neutron rich nuclei very well. This helps towards a theoretical understanding of the observed data.