Constrained Molecular Dynamics II: a N-body approach to nuclear systems

In this work we illustrate the basic development of the constrained molecular dynamics applied to the N-body problem in nuclear physics. The heavy computational taskes related to quantum effects, to the presence of the "hard core" repulsive interaction have been worked out by defining a set of transformations based on the concept of impulsive forces. In particular in the implemented version II of the Constrained Molecular Dynamics model the problem related to the non conservation of the total angular momentum has been solved. This problem can affect others semiclassical microscopic approaches as due to the "hard core" repulsive interaction or to the use of stochastic forces. The effect of the restored conservation law on the fusion cross section for 40Ca+40Ca system is also briefly discussed.