Production of the triply heavy ${\mathrm{\Omega }}_{ccc}$ and ${\mathrm{\Omega }}_{bbb}$ baryons at $e^{+}{e}^{-}$ colliders

Non-relativistic quantum chromodynamics (NRQCD) factorization formulism is an important approach to investigate the production of the heavy quarkonium. In this paper, we study the production of the ${\mathrm{\Omega }}_{ccc}$ and ${\mathrm{\Omega }}_{bbb}$ at the $e^{+}{e}^{-}$ collider, using the NRQCD factorization formulism. We calculate the total and differential cross sections exactly of the processes, $e^{+}{e}^{-}\to {\gamma }^{\ast }\mathrm{/}{Z}^{\ast }\to {\mathrm{\Omega }}_{ccc}\bar{c}\bar{c}\bar{c}$ and $e^{+}{e}^{-}\to {\gamma }^{\ast }\mathrm{/}{Z}^{\ast }\to {\mathrm{\Omega }}_{bbb}\bar{b}\bar{b}\bar{b}$, in the leading order at the $e^{+}{e}^{-}$ colliders with different energies. The results show that it is hard to observe them at the $e^{+}{e}^{-}$ collider directly.