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 for three-body states can be shifted towards the weak-coupling side due to the emergence of Cooper triples.
Keywords
Cite
@article{arxiv.2107.13232,
title = {Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance},
author = {Hiroyuki Tajima and Shoichiro Tsutsui and Takahiro M. Doi and Kei Iida},
journal= {arXiv preprint arXiv:2107.13232},
year = {2021}
}
Comments
21 pages, 4 figures