Study of $e^{+}{e}^{-}\to {\mathrm{\Omega }}^{-}{\bar{\mathrm{\Omega }}}^{+}$ at center-of-mass energies from 3.49 to 3.67 GeV

Using data samples of $e^{+}{e}^{-}$ collisions collected with the BESIII detector at eight center-of-mass energy points between 3.49 and 3.67 GeV, corresponding to an integrated luminosity of 670 pb${}^{-1}$, we present the upper limits of Born cross sections and the effective form factor for the process $e^{+}{e}^{-}\to {\mathrm{\Omega }}^{-}{\bar{\mathrm{\Omega }}}^{+}$. A fit to the cross sections using a pQCD-derived energy dependent function shows no significant threshold effect. The upper limit on the measured effective form factor is consistent with a theoretical prediction within the uncertainty of 1$\sigma$. These results provide new experimental information on the production mechanism of $\mathrm{\Omega }$.