Finite Range Interactions in Constrained Molecular Dynamics

TL;DR

This paper analyzes many-body correlations in constrained molecular dynamics with finite-range interactions, comparing results to mean-field predictions, and proposes a correction procedure for effective interaction parameters to match nuclear matter properties.

Contribution

It introduces a correction method for effective interaction parameters in the CoMD model to accurately reproduce the nuclear matter equation of state.

Findings

Significant differences between constrained molecular dynamics and mean-field EoS.

A correction procedure for interaction parameters is proposed.

Correlations are related to nucleon wave function localization.

Abstract

Many-body correlations developed in the constrained molecular dynamics approach in the frame-work of the CoMD model are analyzed in the case of a finite range effective interaction. The study is performed in the case of infinite nuclear matter at zero temperature. A comparison with the predictions in the mean - field limit, which is taken as a reference case, highlights non-negligible differences concerning the produced Equation of State (EoS)for symmetric and asymmetric NM. A procedure is illustrated able to determine the necessary corrections of the effective interaction parameters in the CoMD model in such a way to reproduce the chosen reference EoS saturation properties. Even if the obtained numerical results are strictly valid for the CoMD model, the rather general feature of the discussed correlations gives a wider meaning to the obtained differences which are strongly related to the nucleon wave function space localization characterizing every semi-classical quantum molecular dynamics approach. Finally, the relevance of the constraint on the primary light cluster production is shortly illustrated in an appendix section.