Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularized zero-range interactions in the three-body problem   To regularize the three-body problem, Minlos and Faddeev suggested a
modification of zero-range model, which diminishes interaction at the
triple-collision point. The analysis reveals that this regularization results
in four alternatives depending on the regularization parameter $ \sigma $.
Explicitly, Efimov or Thomas effects remain for $ \sigma < \sigma_c $, the
additional boundary conditions of two types should be imposed at the
triple-collision point for $ \sigma_c \le \sigma < \sigma_e $ and $ \sigma_e <
\sigma < \sigma_r $, and the problem is regularized for $ \sigma \ge \sigma_r
$. Critical values $ \sigma_c < \sigma_e < \sigma_r $ separating different
alternatives are determined both for a two-component three-body system and for
three identical bosons.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph