Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-body crossover from a Cooper triple to bound trimer state in
  three-component Fermi gases near a triatomic resonance   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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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn