Measurement of the $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

Abstract

The cross section of the process $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ is measured using the data collected with the CMD-$3$ detector at the VEPP-$2000$ collider in the center-of-mass energy range from $1.1$ to $2.0$ GeV. The decay mode $\hat{I}\cdot \to {\hat{I}}^3{\hat{I}}^3$ is used for $\hat{I}\cdot$ meson reconstruction in the data sample corresponding to an integrated luminosity of $78.3$ pb${}^{-1}$. The energy dependence of the $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ cross section is fitted within the framework of vector meson dominance in order to extract the $\hat{I}“(\ddot{I}(1450)\to {}^{+}{e}^{-})\mathcal{B}(\ddot{I}(1450)\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-})$ and the $\hat{I}“(\ddot{I}(1700)\to e^{+}{e}^{-})\mathcal{B}(\ddot{I}(1700)\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-})$ products. Based on conservation of vector current, the analysed data are used to test the relationship between the $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ cross section and the spectral function in $\ddot{I}{„}^{-}\to \hat{I}\cdot \ddot{I}{€}^{-}\ddot{I}{€}^0\hat{I}{½}_{\ddot{I}}„$ decay. The $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ cross section measured with the CMD-$3$ detector is in good agreement with the previous measurements.