Role of $\mathrm{\Xi }(1690)$ in the $J\mathrm{/}\psi \to {\mathrm{\Xi }}^0\bar{\mathrm{\Lambda }}{K}^0$ reaction

Motivated by the recent BESIII measurements of the $J\mathrm{/}\psi \to {\mathrm{\Xi }}^0\bar{\mathrm{\Lambda }}{K}_S^0+c\mathrm{.}c\mathrm{.}$ process, we investigate this reaction by considering the contributions from the $\mathrm{\Xi }(1690)$ and $\mathrm{\Lambda }(1890)$ resonances. The $\mathrm{\Xi }(1690)$ state is dynamically generated from the $S$-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach. Our theoretical model provides a good description of the $\bar{\mathrm{\Lambda }}{K}^0$, ${\mathrm{\Xi }}^0{K}^0$, and $\bar{\mathrm{\Lambda }}{\mathrm{\Xi }}^0$ invariant mass distributions. The results indicate that the $\mathrm{\Xi }(1690)$ resonance, which was neglected in the experimental analysis by BESIII, plays a crucial role in this process. Furthermore, we evaluate the theoretical uncertainties of our model using the parametric bootstrap method. Future high-precision measurements of this process will further help to elucidate the properties of the $\mathrm{\Xi }(1690)$ and $\mathrm{\Lambda }(1890)$ states.