Measurement of the Resonant and Non-Resonant Branching Ratios in ${\mathrm{\Xi }}_c^0\to {\mathrm{\Xi }}^0{K}^{+}{K}^{-}$

Using the entire data sample of $980$ $f{b}^{-1}$ integrated luminosity collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider, we present an amplitude analysis measuring the branching fractions of the Cabibbo-allowed, $W$-exchange resonant decay $\Xi_{c}^{0} \rightarrow \Xi^{0} \phi (\to K^+ K^-)$withapolarized$\phi$ and the non-resonant decay via a direct process ${\mathrm{\Xi }}_c^0\to {\mathrm{\Xi }}^0{K}^{+}{K}^{-}$. We present these measurements, relative to the normalization mode ${\mathrm{\Xi }}^{-}{\pi }^{+}$, and find branching ratios $\frac{$\mathcal{B}$(\Xi_{c}^{0} \rightarrow \Xi^{0} \phi (\rightarrow K^{+}K^{-}))}{$\mathcal{B}$(\Xi_{c}^{0} \rightarrow \Xi^{-} \pi^{+})} = 0.036 \pm 0.004 (stat.) \pm 0.002 (syst.)$and$\frac{$\mathcal{B}$(\Xi_{c}^{0} \rightarrow \Xi^{0} K^{+} K^{-})}{$\mathcal{B}$(\Xi_{c}^{0} \rightarrow \Xi^{-} \pi^{+})} = 0.039 \pm 0.004 (stat.) \pm 0.002 (syst.)$ which suggest that only minor cusping peaks occur in the combinatorial background of ${\mathrm{\Omega }}^{\ast -}\to {\mathrm{\Xi }}^0{K}^{-}$ due to these ${\mathrm{\Xi }}_c^0$ decays.