Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of the process $e^+e^- \to \pi^+\pi^-\pi^0$ in the energy region
  $\sqrt[]{s}$ from 0.98 to 1.38 GeV.}   The cross section of the process $e^+e^-\to \pi^+\pi^-\pi^0$ was measured in
the Spherical Neutral Detector experiment at the VEPP-2M collider in the energy
region $\sqrt[]{s} = 980 \div 1380$ MeV. The measured cross section, together
with the $e^+e^-\to \pi^+\pi^-\pi^0$ and $\omega\pi^+\pi^-$ cross sections
obtained in other experiments, was analyzed in the framework of the generalized
vector meson dominance model. It was found that the experimental data can be
described by a sum of $\omega$, $\phi$ mesons and two $\omega^\prime$ and
$\omega^{\prime\prime}$ resonances contributions, with masses
$m_{\omega^\prime}\sim 1490$,$m_{\omega^{\prime\prime}}\sim 1790$ MeV and
widths $\Gamma_{\omega^\prime}\sim 1210$, $\Gamma_{\omega^{\prime\prime}}\sim
560$ MeV. The analysis of the $\pi^+\pi^-$ invariant mass spectra in the energy
region $\sqrt[]{s}$ from 1100 to 1380 MeV has shown that for their
descriptionone should take into account the
$e^+e^-\to\omega\pi^0\to\pi^+\pi^-\pi^0$ mechanism also. The phase between the
amplitudes corresponding to the $e^+e^-\to\omega\pi$ and $e^+e^-\to\rho\pi$
intermediate states was measured for the first time. The value of the phase is
close to zero and depends on energy.

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The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom