Study of the near-threshold<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ω</mml:mi><mml:mi>ϕ</mml:mi></mml:math>mass enhancement in doubly OZI-suppressed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mo>→</mml:mo><mml:mi>γ</mml:mi><mml:mi>ω</mml:mi><mml:mi>ϕ</mml:mi></mml:math>decays

A $2.25\ifmmode\times\else\texttimes\fi{}{10}^{8}$ $J/\ensuremath{\psi}$ event sample accumulated with the BESIII detector is used to study the doubly Okubo-Zweig-Iizuka-suppressed decay modes $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\omega}\ensuremath{\phi}$, $\ensuremath{\omega}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$, $\ensuremath{\phi}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$. A strong deviation ($&gt;30\ensuremath{\sigma}$) from three-body $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\omega}\ensuremath{\phi}$ phase space is observed near the $\ensuremath{\omega}\ensuremath{\phi}$ mass threshold that is consistent with a previous observation reported by the BESII experiment. A partial wave analysis with a tensor covariant amplitude that assumes that the enhancement is due to the presence of a resonance, the $X(1810)$, is performed and confirms that the spin-parity of the $X(1810)$ is ${0}^{++}$. The mass and width of the $X(1810)$ are determined to be $M=1795\ifmmode\pm\else\textpm\fi{}7(\mathrm{stat}{)}_{\ensuremath{-}5}^{+13}(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}19(\mathrm{mod})\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and $\ensuremath{\Gamma}=95\ifmmode\pm\else\textpm\fi{}10(\mathrm{stat}{)}_{\ensuremath{-}34}^{+21}(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}75(\mathrm{mod})\text{ }\text{ }\mathrm{MeV}/{c}^{2}$, respectively, and the product branching fraction is measured to be $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}X(1810))\ifmmode\times\else\texttimes\fi{}\mathcal{B}(X(1810)\ensuremath{\rightarrow}\ensuremath{\omega}\ensuremath{\phi})=(2.00\ifmmode\pm\else\textpm\fi{}0.08(\mathrm{stat}{)}_{\ensuremath{-}1.00}^{+0.45}(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}1.30(\mathrm{mod}))\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. These results are consistent within errors with those of the BESII experiment.