Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction

Abstract

We investigate the process ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ by taking into account the $S$-wave $K^{\ast }{\bar{K}}^{\ast }$ and $\rho \omega$ interactions within the unitary coupled-channel approach, where the scalar meson $a_0(1710)$ is dynamically generated. In addition, the contributions from the intermediate resonances $K_0^{\ast }(1430{)}^{-}\to {\bar{K}}^0{\pi }^{-}$ and $K_0^{\ast }(1430{)}^0\to K^{+}{\pi }^{-}$ are also considered. We find a significant dip structure around 1.8~GeV, associated to the $a_0(1710)$, in the ${\bar{K}}^0{K}^{+}$ invariant mass distribution, and the clear peaks of the $K_0^{\ast }(1430)$ in the ${\bar{K}}^0{\pi }^{-}$ and $K^{+}{\pi }^{-}$ invariant mass distributions, consistent with the {\it BABAR} measurements. We further estimate the branching fractions $\mathcal{B}({\eta }_c\to {\bar{K}}^{\ast 0}{K}^{\ast +}{\pi }^{-})=5.5\times 10^{-3}$ and $\mathcal{B}({\eta }_c\to \omega {\rho }^{+}{\pi }^{-})=7.9\times 10^{-3}$. Our predictions can be tested by the BESIII and BelleII experiments in the future.

Comments: 9 pages, 9 figures