Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ below 0.98 GeV

Abstract

The cross section of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ was measured in the Spherical Neutral Detector (SND) experiment at the VEPP-2M collider in the energy region $\sqrt[]{s}$ below 980 MeV. This measurement was based on about $1.2\times 10^6$ selected events. The obtained cross section was analyzed together with the SND and DM2 data in the energy region $\sqrt[]{s}$ up to 2 GeV. The $\omega$-meson parameters: $m_{\omega }=782.79\pm 0.08\pm 0.09$ MeV, ${\Gamma }_{\omega }=8.68\pm 0.04\pm 0.15$ MeV and $\sigma (\omega \to 3\pi )=1615\pm 9\pm 57$ nb were obtained. It was found that the experimental data cannot be described by a sum of only $\omega$, $\varphi$, ${\omega }^{\prime }$ and ${\omega }^{\prime \prime }$ resonances contributions. This can be interpreted as a manifestation of $\rho \to 3\pi$ decay, suppressed by $G$-parity, with relative probability $B(\rho \to 3\pi )=(1.01{\pm }_{0.36}^{0.54}\pm 0.034)\times 10^{-4}$.

arXiv comment41 pages REVTEX and 34 figures

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