Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance

Abstract

We theoretically investigate ground-state properties of a three-component Fermi gas with pairwise contact interactions between different components near a triatomic resonance where bound trimers are about to appear. Using variational equations for in-medium two- and three-body cluster states in three dimensions, we elucidate the competition of pair and triple formations due to the Fermi surface effects. We present the ground-state phase diagram that exhibits transition from a Cooper pair to Cooper triple state and crossover from a Cooper triple to tightly bound trimer state at negative scattering lengths. This three-body crossover is analogous to the Bardeen-Cooper-Schrieffer to Bose-Einstein condensation crossover observed in a two-component Fermi gas. We predict that the threshold scattering length $a_{-}$ for three-body states can be shifted towards the weak-coupling side due to the emergence of Cooper triples.

21 pages, 4 figures

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Cited by in corpus (6)

• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Cooper quartet correlations in infinite symmetric nuclear matter
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Possible condensation of Cooper triples