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In this work, we investigate the $\Upsilon(10753)\to\Upsilon(1^3D_J)\eta$($J=1,2,3$) processes, where the $\Upsilon(10753)$ is assigned as aconventional bottomonium under the $4S$-$3D$ mixing scheme. Our result showsthat the concerned processes have considerable branching ratios, {\it i.e.},branching ratios $\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{1})\eta]$ and$\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{2})\eta]$ can reach up to theorder of magnitude of $10^{-4}-10^{-3}$, while$\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{3})\eta]$ is around$10^{-6}-10^{-5}$. With the running of Belle II, it is a good opportunity forfinding out the concerned hidden-bottom hadronic decays.

Investigating the $\mathbf{\Upsilon(10753)\to \Upsilon(1^3D_J)\eta}$ transitions