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

Abstract

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

arXiv comment9 pages, 6 figures

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