The role of the Heisenberg principle in Constrained Molecular Dynamics model

TL;DR

This paper integrates the Heisenberg principle into the Constrained Molecular Dynamics model, improving its accuracy in predicting nuclear properties and reactions by incorporating quantum constraints.

Contribution

It introduces a novel implementation of the Heisenberg principle into the CoMD model, enhancing its agreement with experimental nuclear data.

Findings

Improved binding energies and radii for light nuclei

Better match to p+$^{12}$C elastic scattering data

Insights into fragmentation and superheavy nuclei production

Abstract

We implement the Heisenberg principle into the Constrained Molecular Dynamics (CoMD) model with a similar approach to the Pauli principle using the one-body occupation probability $\bar{f}_i$. Results of the modified and the original model with comparisons to data are given. The binding energies and the radii of light nuclei obtained with the modified model are more consistent to the experimental data than the original one. The collision term and the density distribution are tested through a comparison to p+$^{12}$C elastic scattering data. Some simulations for fragmentation and superheavy nuclei production are also discussed.