Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state of two-component degenerate fermionic gases   We analyze the ground state of the two--component gas of trapped ultracold
fermionic atoms. We neglect the forces between atoms in the same hyperfine
state (the same component). For the case when the forces between
distinguishable atoms (i.e., atoms in different hyperfine states) are repulsive
(positive mutual scattering length), we find the existence of critical
interaction strength above which one atomic fraction expels the other from the
center of the trap. When atoms from different components attract each other
(negative mutual scattering length) the ground state of the system dramatically
changes its structure for strong enough attraction -- the Cooper pairs built of
atoms in different hyperfine states appear.

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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph