Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach

TL;DR

This paper develops a Green's function approach to study infinite nuclear matter, incorporating correlated density-dependent chiral forces and analyzing their effects on microscopic and bulk properties.

Contribution

It introduces a correlated averaging method for three-body forces within a Green's function framework, extending the applicability of chiral forces to higher densities.

Findings

Correlations cause small modifications to the density-dependent force.

The approach validates uncorrelated averages for certain properties.

Results extend chiral force applications to larger density regimes.

Abstract

The properties of symmetric nuclear and pure neutron matter are investigated within an extended self-consistent Green's function method that includes the effects of three-body forces. We use the ladder approximation for the study of infinite nuclear matter and incorporate the three-body interaction by means of a density-dependent two-body force. This force is obtained via a correlated average over the third particle, with an in-medium propagator consistent with the many-body calculation we perform. We analyze different prescriptions in the construction of the average and conclude that correlations provide small modifications at the level of the density-dependent force. Microscopic as well as bulk properties are studied, focusing on the changes introduced by the density dependent two-body force. The total energy of the system is obtained by means of a modified Galitskii-Migdal-Koltun sum rule. Our results validate previously used uncorrelated averages and extend the availability of chirally motivated forces to a larger density regime.