Constrained molecular dynamics approach to fermionic systems

Abstract

We propose a constrained molecular dynamics model for a fermionic system. In this approach the equations of motion of the centroids related to the single-particle phase-space distributions are solved by imposing that the one-body occupation probability ${f}_{i},$ evaluated for each particle, can assume only values less than or equal to 1. This condition reflects the fermionic nature of the studied systems, and it is implemented with a fast algorithm which allows also the study of the heaviest colliding system. The parameters of the model have been chosen to reproduce the average binding energy and radii of nuclei in the mass region $A=30--208.$ Some comparison to the data is given.