Measurement of Born Cross Sections and Effective Form Factors of $e^{+}{e}^{-}\to {\mathrm{\Omega }}^{-}{\bar{\mathrm{\Omega }}}^{+}$ from$\sqrt{s}$ = 3.7 to 4.7 GeV

Using $e^{+}{e}^{-}$ collision data corresponding to an integrated luminosity of 22.7 fb${}^{-1}$, collected at center-of-mass energies between 3.7 and 4.7 GeV with the BESIII detector at the BEPCII storage ring, we measure the energy-dependent Born cross sections of $e^{+}{e}^{-}\to {\mathrm{\Omega }}^{-}{\bar{\mathrm{\Omega }}}^{+}$ and the effective form factors of the ${\mathrm{\Omega }}^{-}$ baryon. The analysis employs a single baryon tagging method, and the results are consistent with theoretical predictions, providing critical constraints on the electromagnetic structure of the ${\mathrm{\Omega }}^{-}$ hyperon. No significant signal of charmonium or charmonium-like states decaying to ${\mathrm{\Omega }}^{-}{\bar{\mathrm{\Omega }}}^{+}$ is observed in the investigated energy range.