Constrained molecular dynamics II: An 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 tasks related to quantum effects, to the Fermionic nature of the system have been resolved 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 affects other semi-classical microscopic approaches due to the “hard core” repulsive interaction and, more generally, to the usage of random forces. The effect of the restored conservation law on the fusion cross-section for the 40Ca + 40Ca system is also briefly discussed.