Measurements of branching fractions and asymmetry parameters of ${\mathrm{\Xi }}_c^0\to \mathrm{\Lambda }{\bar{K}}^{\ast 0}$, ${\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^0{\bar{K}}^{\ast 0}$, and ${\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^{+}{K}^{\ast -}$ decays at Belle

Using a data sample of 980 fb${}^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider, we study the processes of $\Xi^0_c\to \Lambda\bar K^{*0}$,$\Xi^0_c\to \Sigma^0\bar K^{0}$,and$\Xi^0_c\to \Sigma^+K^{-}$ for the first time. The relative branching ratios to the normalization mode of ${\mathrm{\Xi }}_c^0\to {\mathrm{\Xi }}^{-}{\pi }^{+}$ are measured to be $$\mathcal{B}({\mathrm{\Xi }}_c^0\to \mathrm{\Lambda }{\bar{K}}^{\ast 0})\mathrm{/}\mathcal{B}(\text{xic}\to {\mathrm{\Xi }}^{-}{\pi }^{+})=0.18\pm 0.02(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.01(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.}),$$ $$\mathcal{B}({\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^0{\bar{K}}^{\ast 0})\mathrm{/}\mathcal{B}(\text{xic}\to {\mathrm{\Xi }}^{-}{\pi }^{+})=0.69\pm 0.03(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.03(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.}),$$ $$\mathcal{B}({\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^{+}{K}^{\ast -})\mathrm{/}\mathcal{B}(\text{xic}\to {\mathrm{\Xi }}^{-}{\pi }^{+})=0.34\pm 0.06(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.02(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.}),$$ where the uncertainties are statistical and systematic, respectively. We obtain %measure the branching fractions of ${\mathrm{\Xi }}_c^0\to \mathrm{\Lambda }{\bar{K}}^{\ast 0}$, ${\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^0{\bar{K}}^{\ast 0}$, and ${\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^{+}{K}^{\ast -}$ to be $$\mathcal{B}({\mathrm{\Xi }}_c^0\to \mathrm{\Lambda }{\bar{K}}^{\ast 0})=(3.3\pm 0.3(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.2(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.})\pm 1.0(\mathrm{r}\mathrm{e}\mathrm{f}\mathrm{.}))\times {10}^{-3},$$ $$\mathcal{B}({\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^0{\bar{K}}^{\ast 0})=(12.4\pm 0.5(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.5(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.})\pm 3.6(\mathrm{r}\mathrm{e}\mathrm{f}\mathrm{.}))\times {10}^{-3},$$ $$\mathcal{B}({\mathrm{\Xi }}_c^0\to {\mathrm{\Sigma }}^{+}{K}^{\ast -})=(6.1\pm 1.0(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 0.4(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.})\pm 1.8(\mathrm{r}\mathrm{e}\mathrm{f}\mathrm{.}))\times {10}^{-3},$$ where the uncertainties are statistical, systematic, and from ${\cal B}(\xic \to \Xi^-\pi^+)$,respectively\mathrm{.}Theasymmetryparameters$\alpha(\Xi^0_c\to \Lambda\bar K^{0})$and$\alpha(\Xi^0_c\to \Sigma^+K^{-})$are$0.15\pm0.22({\rm stat.})\pm0.04({\rm syst.})$and$-0.52\pm0.30({\rm stat.})\pm0.02({\rm syst.})$, respectively, where the uncertainties are statistical followed by systematic.