  Many-body correlations characterizing the Constrained Molecular Dynamics
(CoMD)are analyzed in the case of finite and zero range effective microscopic
interactions. The study begins by analyzing the case of infinite nuclear matter
at zero temperature. A comparison with the predictions in the mean-field(MF)
limit corresponding to different effective masses, highlights non-negligible
differences regarding the produced Equation of State (EoS). A procedure is
illustrated to determine the necessary corrections of the effective interaction
parameters in the CoMD model so to reproduce the chosen EoS. The specific model
calculations, the general feature of the discussed correlations gives a wider
meaning to the resulting differences, which are in fact strongly related both
to the Pauli principle constraint and to the localization effects related to
wave-packets dynamics. Moving on to finite systems, preliminary results are
shown in relation to the reaction mechanisms in the $^{64}Ni+^{48}Ca$ system
described by the CoMD model. Therefore, the topic covered illustrates the
effects produced by the correlations of the CoMD dynamics on the EoS and on
some observables commonly studied in heavy ion collisions.
