Hidden-bottom hadronic transitions of $Υ(10753)$

Abstract

Assuming that the $Υ(10753)$ is a $4S$-$3D$ mixed state, we investigated the hidden-bottom hadronic decays of the $Υ(10753) \to η_b(1S)ω(η^{(\prime)})$ via the intermediate meson loops. In a commonly accepted range of the model parameter $α$ 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 $Υ(10753)\toη_bη^{(\prime)}$ to $Υ(10753)\to η_bω$ is found to be dependent on the $η$-$η'$ mixing angle. In addition, we also calculated the ratios of the partial decays widths of the $Υ(10753) \to η_b ω$ to $Υ(10753)\to Υ(nS)π^+π^-$ ($n=1\,,2$), 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 $Υ(10753)$ as the $4S$-$3D$ mixture. We hope these predictions could be verified by the future BelleII experiments.