Pauli blocking effects and Cooper triples in three-component Fermi gases

TL;DR

This paper explores how Pauli blocking influences two- and three-body states in three-component Fermi gases, revealing medium-induced modifications and identifying a new class of positive energy poles called Cooper triples.

Contribution

It introduces the concept of Cooper triples in three-component Fermi gases and analyzes their properties under medium effects, extending understanding beyond traditional Cooper pairs.

Findings

Medium effects reduce binding energies of dimers and trimers.

Identification of Cooper triples as positive energy poles.

Recovery of Cooper pair physics in the two-body sector.

Abstract

We investigate the effect of Pauli blocking on universal two- and three-body states in the medium. Their corresponding energies are extracted from the poles of two- and three-body in-medium scattering amplitudes. Compared to the vacuum, the binding of dimer and trimer states is reduced by the medium effects. In two-body scattering, the well-known physics of Cooper pairs is recovered. In the three-body sector, we find a new class of positive energy poles which can be interpreted as Cooper triples.