Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta$ using initial state radiation

Abstract

We study the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta \gamma$, where the photon is radiated from the initial state. About 8000 fully reconstructed events of this process are selected from the BaBar data sample with an integrated luminosity of 469~fb${}^{-1}$. Using the ${\pi }^{+}{\pi }^{-}\eta$ invariant mass spectrum we measure the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta$ cross section in the $e^{+}{e}^{-}$ center-of-mass energy range from 1.15 to 3.5 GeV. The cross section is well described by the Vector-Meson Dominance model with four $\rho$-like states. We observe $49\pm 9$ events of the $J/\psi$ decay to ${\pi }^{+}{\pi }^{-}\eta$, and measure the product ${\Gamma }_{J/\Psi \to e^{+}{e}^{-}}{\text{B}}_{J/\Psi \to {\pi }^{+}{\pi }^{-}\eta }=2.34\pm 0.43_{\text{stat}}\pm 0.16_{\text{syst}}$~eV.

17 pages, 21 postscript figues, submitted to Phys. Rev. D

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