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.

9 pages, 6 figures

References in corpus (6)

• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Quark-Model Identification of Baryon Ground and Resonant States
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• $J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production

Cited by in corpus (1)

• Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions