Many-body correlations in Semiclassical Molecular Dynamics and Skyrme interaction

TL;DR

This paper investigates many-body correlations in semiclassical molecular dynamics of asymmetric nuclear matter using Skyrme interactions, highlighting their impact on model parameters and the importance of spatial correlations.

Contribution

It introduces a comparison between CoMD and mean field approaches, emphasizing the role of many-body correlations in nuclear matter modeling.

Findings

Differences in parameter values between CoMD and mean field models.

Correlation effects are linked to spatial correlations in wave packet dynamics.

Results are broadly applicable beyond the specific CoMD model.

Abstract

Constraint Molecular dynamics CoMD calculations have been performed for asymmetric nuclear matter (NM) by using a simple effective interactions of the Skyrme type. The set of parameter values reproducing common accepted saturation properties of nuclear matter have been obtained for different degree of stiffness characterizing the iso-vectorial potential density dependence. A comparison with results obtained in the limit of the Semi-Classical Mean Field approximation using the same kind of interaction put in evidence the role played by the many-body correlations in to explain the noticeable differences obtained in the parameter values in the two cases. Even if from a numerical point of view the obtained results are strictly valid for the CoMD model, some rather general feature of the discussed correlations can give a wider meaning to the obtained differences being strongly related to the spacial correlations generated in the semiclassical wave packets dynamics.