Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces

TL;DR

This paper investigates the spatial correlation properties of the anomalous density matrix in nuclear matter slabs using realistic NN-forces, comparing results with the Gogny force and finding consistent qualitative behavior but smaller magnitudes.

Contribution

It provides a detailed comparison of correlation properties in nuclear matter using realistic forces versus the Gogny force, highlighting similarities and differences.

Findings

Realistic NN-forces produce correlation results similar to Gogny force.

The magnitude of the anomalous density matrix is smaller for realistic forces.

Correlation length is small at the surface and large inside the slab.

Abstract

Spatial correlation characteristics of the anomalous density matrix $\kappa$ in a slab of nuclear matter with the Paris and Argonne v18 forces are calculated. A detailed comparison with predictions of the effective Gogny force is made. It is found that the two realistic forces lead to very close results which are qualitatively similar to those for the Gogny force. At the same time, the magnitude of $\kappa$ for realistic forces is essentially smaller than the one for the Gogny force. The correlation characteristics are practically independent of the magnitude of $\kappa$ and turn out to be quite close for the three kinds of the force. In particular, all of them predict a small value of the local correlation length at the surface of the slab and a big one, inside. These results are in agreement with those obtained recently by Pillet at al. for finite nuclei with the Gogny force.