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Using data samples collected with the BESIII detector at the BEPCII colliderat six center-of-mass energies between 4.008 and 4.600 GeV, we observe theprocesses $e^+e^-\rightarrow \phi\phi\omega$ and $e^+e^-\rightarrow\phi\phi\phi$. The Born cross sections are measured and the ratio of the crosssections $\sigma(e^+e^-\rightarrow \phi\phi\omega)/\sigma(e^+e^-\rightarrow\phi\phi\phi)$ is estimated to be $1.75\pm0.22\pm0.19$ averaged over six energypoints, where the first uncertainty is statistical and the second issystematic. The results represent first measurements of these interactions.

physics letters b

Measurement of cross sections of the interactions $e^+e^-\rightarrow  \phi\phi\omega$ and $e^+e^-\rightarrow \phi\phi\phi$ at center-of-mass  energies from 4.008 to 4.600 GeV