Role of $\hat{I}ž(1690)$ in the $J/\ddot{I}ˆ\to \hat{I}{ž}^0\bar{\hat{I}}›K^0$ reaction

Abstract

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

9 pages, 6 figures