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

Abstract Motivated by the recent BESIII measurements of the $$J/\psi \rightarrow \Xi ^0 {\bar{\Lambda }}K_S^0 + c.c.$$ J / ψ → Ξ 0 Λ ¯ K S 0 + c . c . process, we investigate this reaction by considering the contributions from the $$\Xi (1690)$$ Ξ ( 1690 ) , $$\Lambda (1890)$$ Λ ( 1890 ) and $$\Lambda (1830)$$ Λ ( 1830 ) resonances. The $$\Xi (1690)$$ Ξ ( 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 $${\bar{\Lambda }}K^0$$ Λ ¯ K 0 , $$\Xi ^0 K^0$$ Ξ 0 K 0 , and $${\bar{\Lambda }}\Xi ^0$$ Λ ¯ Ξ 0 invariant mass distributions. The results indicate that the $$\Xi (1690)$$ Ξ ( 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 $$\Xi (1690)$$ Ξ ( 1690 ) , $$\Lambda (1890)$$ Λ ( 1890 ) and $$\Lambda (1830)$$ Λ ( 1830 ) states.