Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process cross section with the SND detector at the VEPP-2000 collider in the energy region $0.525<\sqrt{s}<0.883$ GeV

Abstract

The cross section of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ has been measured in the Spherical Neutral Detector (SND) experiment at the VEPP-2000 $e^{+}{e}^{-}$ collider VEPP-2000 in the energy region $525<\sqrt[]{s}<883$ MeV. The measurement is based on data with an integrated luminosity of about 4.6 pb${}^{-1}$. The systematic uncertainty of the cross section determination is 0.8 % at $\sqrt{s}>0.600$ GeV. The $\rho$ meson parameters are obtained as $m_{\rho }=775.3\pm 0.5\pm 0.6$ MeV, ${\Gamma }_{\rho }=145.6\pm 0.6\pm 0.8$ MeV, $B_{\rho \to e^{+}{e}^{-}}\times B_{\rho \to {\pi }^{+}{\pi }^{-}}=(4.89\pm 0.02\pm 0.04)\times 10^{-5}$, and the parameters of the $e^{+}{e}^{-}\to \omega \to {\pi }^{+}{\pi }^{-}$ process, suppressed by $G$-parity, as $B_{\omega \to e^{+}{e}^{-}}\times B_{\omega \to {\pi }^{+}{\pi }^{-}}=(1.32\pm 0.06\pm 0.02)\times 10^{-6}$ and ${\varphi }_{\rho \omega }=110.7\pm 1.5\pm 1.0$ degrees.

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