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arXiv · 2107.13232

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

Hiroyuki Tajima·Shoichiro Tsutsui·Takahiro M. Doi·Kei Iida
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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.

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Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, Kei Iida. 2021-07-28. Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance. https://doi.org/10.1103/physreva.104.053328

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