Cross sections measurement of $e^{+}{e}^{-}\to \mathrm{\Xi }(1530{)}^0{\bar{\mathrm{\Xi }}}^0+c\mathrm{.}c\mathrm{.}$ and search for $\psi (3770)\to \mathrm{\Xi }(1530{)}^0{\bar{\mathrm{\Xi }}}^0+c\mathrm{.}c\mathrm{.}$

Using $e^{+}{e}^{-}$ collision data collected with the BESIII detector corresponding to an integrated luminosity of 44.2 fb${}^{-1}$, we measure the Born cross sections for the process $e^{+}{e}^{-}\to \mathrm{\Xi }(1530{)}^0{\bar{\mathrm{\Xi }}}^0+c\mathrm{.}c\mathrm{.}$ at forty-eight center-of-mass energies between 3.51 and 4.95 GeV. The potential signal from non-$D\bar{D}$ decays for $\psi (3770)$, i.e. $\psi (3770)\to \mathrm{\Xi }(1530{)}^0{\bar{\mathrm{\Xi }}}^0+c\mathrm{.}c\mathrm{.}$, is investigated by fitting the dressed cross section, no obvious signal is found. The upper limit of $\mathcal{B}(\psi (3770)\to \mathrm{\Xi }(1530{)}^0{\bar{\mathrm{\Xi }}}^0$) at 90% confidence level is given.