Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of the $\sigma$-meson below 1 GeV and $f_0(1500)$ glueball   On the basis of a simultaneous description of the isoscalar s-wave channel of
the $\pi\pi$ scattering (from the threshold up to 1.9 GeV) and of the
$\pi\pi\to K\bar{K}$ process (from the threshold to $\sim$ 1.4 GeV) in the
model-independent approach, a confirmation of the $\sigma$-meson at $\sim$ 665
MeV and an indication for the glueball nature of the $f_0(1500)$ state are
obtained. It is shown that the large $\pi\pi$-background, usually obtained,
combines, in reality, the influence of the left-hand branch-point and the
contribution of a very wide resonance at $\sim$ 665 MeV. The coupling constants
of the observed states with the $\pi\pi$ and $K\bar{K}$ systems and lengths of
the $\pi\pi$ and $K\bar{K}$ scattering are obtained.

3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat