Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model-Independent Confirmation of the $\sigma$-Meson below 1 GeV and
  Indication for the $f_0(1500)$ Glueball   In the model-independent approach consisting in the immediate application to
the analysis of experimental data of such general principles as analyticity and
unitarity, 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 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 where the 2-channel
unitarity is valid). A parameterless description of the $\pi\pi$ background is
first given by allowance for the left-hand branch-point in the proper
uniformizing variable. 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.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph