Hidden-bottom hadronic transitions of ${\rm Y}(10753)$

Abstract

Assuming that the ${\rm Y}(10753)$ is a $4S$-$3D$ mixed state, we investigated the hidden-bottom hadronic decays of the ${\rm Y}(10753)\to {\eta }_b(1S)\omega ({\eta }^{(\prime )})$ via the intermediate meson loops. In a commonly accepted range of the model parameter $\alpha$ in the form factor, the predicted branching ratios may reach to the order of $10^{-3}$--$10^{-2}$. The relative ratio of the partial decay widths of the ${\rm Y}(10753)\to {\eta }_b{\eta }^{(\prime )}$ to ${\rm Y}(10753)\to {\eta }_b\omega$ is found to be dependent on the $\eta$-${\eta }^{\prime }$ mixing angle. In addition, we also calculated the ratios of the partial decays widths of the ${\rm Y}(10753)\to {\eta }_b\omega$ to ${\rm Y}(10753)\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}$ ($n=1,2$), which are found to be around 0.4 and 0.2 for $n=1$ and $n=2$, respectively. These values are in accordance with the preliminary experimental results. The calculations presented here tend to favor the ${\rm Y}(10753)$ as the $4S$-$3D$ mixture. We hope these predictions could be verified by the future BelleII experiments.