Observation of $e^{+}{e}^{-}\to K\bar{K}J\mathrm{/}\psi$ at center-of-mass energies from 4.189 to 4.600 GeV

We investigate the process $e^{+}{e}^{-}\to K\bar{K}J\mathrm{/}\psi$ at center-of-mass energies from 4.189 to 4.600 GeV using 4.7 fb${}^{-1}$ of data collected by the BESIII detector at the BEPCII collider. The Born cross sections for the reactions $e^{+}{e}^{-}\to K^{+}{K}^{-}J\mathrm{/}\psi$ and $K_S^0{K}_S^{0}J\mathrm{/}\psi$ are measured as a function of center-of-mass energy. The energy dependence of the cross section for $e^{+}e^{-} \rightarrow K^{+}K^{-}J/\psi$isshowntodifferfromthatfor$\pi^{+}\pi^{-}J/\psi$ in the region around the $Y(4260)$. In addition, there is evidence for a structure around 4.5 GeV in the $e^{+}{e}^{-}\to K^{+}{K}^{-}J\mathrm{/}\psi$ cross section that is not present in ${\pi }^{+}{\pi }^{-}J\mathrm{/}\psi$.