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We study the processes $e^+e^-\to 2(\pi^+\pi^-)\pi^0\pi^0\pi^0\gamma$ and$2(\pi^+\pi^-)\pi^0\pi^0\eta\gamma$ in which an energetic photon is radiatedfrom the initial state. The data were collected with the \babar~ detector atSLAC. About 14\,000 and 4700 events, respectively, are selected from a datasample corresponding to an integrated luminosity of 469 fb^{-1}. The invariantmass of the hadronic final state defines the effective \epem center-of-massenergy. The center-of-mass energies range from threshold to 4.5 GeV. From themass spectra, the first ever measurements of the $e^+e^-\to2(\pi^+\pi^-)\pi^0\pi^0\pi^0$ and the $e^+e^-\to2(\pi^+\pi^-)\pi^0\pi^0\eta$cross sections are performed. The contributions from$\omega\pi^+\pi^-\pi^0\pi^0$, $\eta2(\pi^+\pi^-)$, and other intermediatestates are presented. We observe the $J/\psi$ and $\psi(2S)$ in most of thesefinal states and measure the corresponding branching fractions, many of themfor the first time.

physical review. d/physical review. d.

Study of the reactions $e^+e^-\to2(\pi^+\pi^-)\pi^0\pi^0\pi^0$ and  $e^+e^-\to2(\pi^+\pi^-)\pi^0\pi^0\eta$ at center-of-mass energies from  threshold to 4.5 GeV using initial-state radiation