Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recent advances in description of few two-component fermions   Overview of the recent advances in description of the few two-component
fermions is presented. The model of zero-range interaction is generally
considered to discuss the principal aspects of the few-body dynamics.
Particular attention is paid to detailed description of two identical fermions
of mass $m$ and a distinct particle of mass $m_1$: it turns out that two $L^P =
1^-$ three-body bound states emerge if mass ratio $m/m_1$ increases up to the
critical value $\mu_c \approx 13.607$, above which the Efimov effect takes
place. The topics considered include rigorous treatment of the few-fermion
problem in the zero-range interaction limit, low-dimensional results, the
four-body energy spectrum, crossover of the energy spectra for $m/m_1$ near
$\mu_c $, and properties of potential-dependent states. At last, enlisted are
the problems, whose solution is in due course.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph