Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalar glueball: analysis of the (IJ^{PC}=00^{++})-wave   Basing on the previously performed K-matrix analysis of experimental data, we
investigate, in the framework of the propagator matrix (D-matrix) technique,
the 1100-1900 MeV mass region, where overlapping resonances $f_0(1300)$,
$f_0(1500)$, $f_0(1530^{+90}_{-250})$, and $f_0(1780)$ are located. Necessary
elements of the D-matrix technique are developed. The D-matrix analysis
confirms previous K-matrix results: in the region 900-1900 MeV five
scalar/isoscalar states are located. Four of them are members of the two $q\bar
q$-nonets, while one state is an extra for the $q\bar q$ systematics, being a
good candidate for the lightest scalar glueball. The D-matrix analysis shows
that this extra state, a candidate for the lightest scalar glueball, is
dispersed, due to a mixing with $q\bar q$- states, over three resonances:
$f_0(1300)$, $f_0(1500)$, and $f_0(1530^{+90}_{-250})$. The broad resonance
$f_0(1530^+{90}_{-250})$ is a descendant of the lightest glueball carrying
about 50% of the gluonium component, the rest of the gluonium is shared between
$f_0(1300)$ and $f_0(1500)$.

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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga