Study of the $\pi \pi$ mass spectra in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ at $\sqrt[]{s}\simeq 1020$ MeV

Abstract

The invariant mass spectra of the ${\pi }^{+}{\pi }^{-}$ and ${\pi }^{\pm }{\pi }^0$ pairs in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ were studied in the SND experiment at the VEPP-2M collider in the energy region $\sqrt[]{s}\simeq 1020$ MeV. These studies were based on about $0.5\times 10^6$ experimental events. The spectra were analyzed in the framework of the vector meson dominance model. It was found that the experimental data can be described with $e^{+}{e}^{-}\to \rho \pi \to {\pi }^{+}{\pi }^{-}{\pi }^0$ transition only. Upper limit on the branching ratio of the $\varphi (1020)\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay through intermediate states different from $\rho \pi$ was obtained at the 90 % confidence level: $B(\varphi \to {\pi }^{+}{\pi }^{-}{\pi }^0)<6\cdot 10^{-4}$. The $\rho$-meson mass and width which follow from the spectra analysis are $m_{\rho }=775.0\pm 1.3$ MeV, ${\Gamma }_{\rho }=150.4\pm 3.0$ MeV. Neutral and charged $\rho$-mesons mass difference was found to equal $m_{{\rho }^{\pm }}-m_{{\rho }^0}=-1.3\pm 2.3$ MeV. In the ${\pi }^{+}{\pi }^{-}$ mass spectrum the $\rho -\omega$ interference was seen at two standard deviations level.

22 pages REVTEX and 19 figures

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• Hadronic Structure in the Decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$
• Spherical Neutral Detector for VEPP-2M collider
• Measurements of the parameters of the $\varphi (1020)$ resonance through studies of the processes $e^{+}{e}^{-}\to K^{+}{K}^{-}$, $K_S{K}_L$ and ${\pi }^{+}{\pi }^{-}{\pi }^0$
• The process $e^{+}{e}^{-}\to \omega {\pi }^0\to {\pi }^0{\pi }^0\gamma$ up to 1.4 GeV
• Measuring the finite width and unitarity corrections to the phi-omega mixing amplitude
• The ${\rho }^{\pm }-{\rho }^0$ Mass Splitting Problem

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