arXiv · 1907.08002
Measurement of the $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider
Abstract
The cross section of the process $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ 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 $\eta\rightarrow\gamma\gamma$ is used for $\eta$ meson reconstruction in the data sample corresponding to an integrated luminosity of $78.3$ pb$^{-1}$. The energy dependence of the $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ cross section is fitted within the framework of vector meson dominance in order to extract the $\Gamma(\rho(1450)\rightarrow{^{+}e^{-}})\mathcal{B}(\rho(1450)\rightarrow\eta\pi^{+}\pi^{-})$ and the $\Gamma(\rho(1700)\rightarrow{e^{+}e^{-}})\mathcal{B}(\rho(1700)\rightarrow\eta\pi^{+}\pi^{-})$ products. Based on conservation of vector current, the analysed data are used to test the relationship between the $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ cross section and the spectral function in $\tau^-\rightarrow\eta\pi^-\pi^0\nu_\tau$ decay. The $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ cross section measured with the CMD-$3$ detector is in good agreement with the previous measurements.
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S. S. Gribanov, A. S. Popov, R. R. Akhmetshin, A. N. Amirkhanov, A. V. Anisenkov, V. M. Aulchenko, V. Sh. Banzarov, N. S. Bashtovoy, D. E. Berkaev, A. E. Bondar, A. V. Bragin, S. I. Eidelman, D. A. Epifanov, L. B. Epshteyn, A. L. Erofeev, G. V. Fedotovich, S. E. Gayazov, F. J. Grancagnolo, A. A. Grebenuk, D. N. Grigoriev, F. V. Ignatov, V. L. Ivanov, S. V. Karpov, V. F. Kazanin, A. N. Kirpotin, I. A. Koop, A. A. Korobov, O. A. Kovalenko, A. N. Kozyrev, E. A. Kozyrev, P. P. Krokovny, A. E. Kuzmenko, A. S. Kuzmin, I. B. Logashenko, P. A. Lukin, K. Yu. Mikhailov, V. S. Okhapkin, A. V. Otboev, Yu. N. Pestov, G. P. Razuvaev, Yu. A. Rogovsky, A. A. Ruban, N. M. Ryskulov, A. E. Ryzhenenkov, A. V. Semenov, A. I. Senchenko, Yu. M. Shatunov, P. Yu. Shatunov, V. E. Shebalin, D. N. Shemyakin, B. A. Shwartz, D. B. Shwartz, A. L. Sibidanov, E. P. Solodov, V. M. Titov, A. A. Talyshev, S. S. Tolmachev, A. I. Vorobiov, I. M. Zemlyansky, Yu. V. Yudin. 2019-07-18. Measurement of the $e^{+}e^{-}\rightarrow\eta\pi^{+}\pi^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider. https://doi.org/10.1007/jhep01(2020)112
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