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

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.