Measurement of cross sections of the interactions $e^+$e_ _ ___ and e+e_ _ ___ at center-of-mass energies from 4.008 to 4.600_GeV

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 $𝑒^+𝑒^−\rightarrow \phi\phi\omega e^+ e^−\rightarrow \phi\phi \omega$ and $𝑒^+𝑒^−\rightarrow \phi\phi\phi e^+ e^− \rightarrow \phi\phi\phi$. The Born cross sections are measured and the ratio of the cross sections $\delta(𝑒^+𝑒^−\rightarrow \phi\phi\omega)/\delta(𝑒^+𝑒^−\rightarrow \phi\phi\phi) \delta ( e^+ e^− \rightarrow \phi \phi \delta ) / \delta ( e^+ e^− \rightarrow \phi \phi \phi)$ is estimated to be 1.75±0.22±0.19 1.75 ± 0.22 ± 0.19 averaged over six energy points, where the first uncertainty is statistical and the second is systematic. The results represent first measurements of these interactions.