Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $0^{++}$-Glueball/$q \bar q$-State Mixing in the Mass Region near 1500
  MeV   Basing on the results of the K-matrix fit of $(IJ^{PC}=00^{++})$ wave, we
analyze the analytic structure of the amplitude and $q \bar q$/glueball content
of resonances in the mass region 1200-1900 MeV, where an extra state for $q
\bar q$-systematics exists being a good candidate for the lightest scalar
glueball. Our analysis shows that the pure glueball state dispersed over three
resonances: $f_0(1300)$, $f_0(1500)$ and $f_0(1530^{+90}_{-250})$, while the
glueball admixture in $f_0(1750)$ is small. The broad resonance
$f_0(1530^{+90}_{-250})$ is the descendant of the lightest pure glueball. The
mass of pure glueball is $1630\pm {70\atop 30}$ MeV, in agreement with Lattice
calculation results.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: physics