Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Contact in the BCS-BEC crossover for finite range interacting
  ultracold Fermi gases   Using mean-field theory for the Bardeen-Cooper-Schriefer (BCS) to the
Bose-Einstein condensate (BEC) crossover we investigate the ground state
thermodynamic properties of an interacting homogeneous Fermi gas. The
interatomic interactions modeled through a finite range potential allows us to
explore the entire region from weak to strong interacting regimes with no
approximations. To exhibit the thermodynamic behavior as a function of the
potential parameters in the whole crossover region, we concentrate in studying
the contact variable, the thermodynamic conjugate of the inverse of the s-wave
scattering length. Our analysis allows us to validate the mean-field approach
across the whole crossover. It also leads to predict a quantum transition-like
in the case when the potential range becomes large. This finding is a direct
consequence of the k-dependent energy gap for finite interaction range
potentials.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex