Condensated fermion system in the model of four-quark interaction with large correlation length

TL;DR

This paper investigates a four-quark interaction model with large correlation length, revealing features similar to unitary Fermi gases and identifying potential phase transitions between Fermi spheres and fermion condensates in quark systems.

Contribution

It introduces a novel analysis of four-quark interactions with large correlation length, highlighting unique properties and phase transition possibilities in quark matter.

Findings

Features akin to unitary Fermi gases identified.

Anomalous properties of fermion condensates described.

Potential phase transition between Fermi sphere and condensate suggested.

Abstract

Studying a model of four-quark interaction with large correlation length we find out both the features peculiar an unitary fermi gas and the specific anomalous properties of the fermi systems with a fermion condensate. It is argued that a possibility of phase transition originated by interface between the Fermi sphere and fermion condensate appears in such quark systems. The results obtained could be instrumental for phenomenological applications in view of our conclusion about approximately the same behavior of the dynamical characteristics of quark ensembles with different four-quark interaction forms in a practical interval of coupling constant.