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Constraint Molecular dynamics CoMD calculations have been performed forasymmetric nuclear matter (NM) by using a simple effective interactions of theSkyrme type. The set of parameter values reproducing common accepted saturationproperties of nuclear matter have been obtained for different degree ofstiffness characterizing the iso-vectorial potential density dependence. Acomparison with results obtained in the limit of the Semi-Classical Mean Fieldapproximation using the same kind of interaction put in evidence the roleplayed by the many-body correlations in to explain the noticeable differencesobtained in the parameter values in the two cases. Even if from a numericalpoint of view the obtained results are strictly valid for the CoMD model, somerather general feature of the discussed correlations can give a wider meaningto the obtained differences being strongly related to the spacial correlationsgenerated in the semiclassical wave packets dynamics.

Many-body correlations in Semiclassical Molecular Dynamics and Skyrme interaction