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Yu-Shuai Li, Zi-Yue Bai, Xiang Liu
Abstract
In this work we investigate the $\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}(1{^{3}D}_{J})\ensuremath{\eta}$ ($J=1$, 2, 3) processes, where the $\mathrm{\ensuremath{\Upsilon}}(10753)$ is assigned as a conventional bottomonium under the $4S--3D$ mixing scheme. Our result shows that the concerned processes have considerable branching ratios, i.e., branching ratios $\mathcal{B}[\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}(1{^{3}D}_{1})\ensuremath{\eta}]$ and $\mathcal{B}[\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}(1{^{3}D}_{2})\ensuremath{\eta}]$ can reach up to the order of magnitude of ${10}^{\ensuremath{-}4}--{10}^{\ensuremath{-}3}$, while $\mathcal{B}[\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}(1{^{3}D}_{3})\ensuremath{\eta}]$ is around ${10}^{\ensuremath{-}6}--{10}^{\ensuremath{-}5}$. With the running of Belle II, it is a good opportunity for finding out the concerned hidden-bottom hadronic decays.