Effective interaction approach to the Fermi hard-sphere system

TL;DR

This paper evaluates an effective interaction approach for the Fermi hard-sphere system, demonstrating its high accuracy in predicting properties like energy, effective mass, and momentum distribution relevant to nuclear matter.

Contribution

It systematically compares the effective interaction method with other many-body techniques, confirming its reliability for nuclear matter studies.

Findings

High accuracy in ground state energy predictions

Effective mass and momentum distribution match other methods

Suitable for astrophysical nuclear matter applications

Abstract

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a systematic comparison between the results of its application to the Fermi hard-sphere system and the predictions obtained from low-density expansions, as well as from other many-body techniques. The analysis of a variety of properties, including the ground state energy, the effective mass and the momentum distribution, shows that the effective interaction approach is remarkably accurate, thus suggesting that it may be employed to achieve a consistent description of the structure and dynamics of nuclear matter in the density region relevant to astrophysical applications.