# 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

## TL;DR

This paper reports the first measurements of the cross sections for the processes $e^+e^-
ightarrow \,\phi\phi\omega$ and $e^+e^-
ightarrow \,\phi\phi\phi$ at energies between 4.008 and 4.600 GeV, providing new experimental data on these rare interactions.

## Contribution

It provides the first measurement of these cross sections and their ratio, expanding knowledge of electron-positron interactions involving multiple mesons.

## Key findings

- First measurements of $e^+e^-\rightarrow \phi\phi\omega$ and $\phi\phi\phi$ cross sections.
- The ratio of cross sections is estimated to be approximately 1.75.
- Cross sections are measured at six different energies.

## Abstract

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