Investigating the $\mathbf{{\rm Y}}(10753)\to \mathbf{{\rm Y}}(1^3{\mathbf{D}}_{\mathbf{J}})\eta$ transitions

Abstract

In this work, we investigate the ${\rm Y}(10753)\to {\rm Y}(1^3{D}_J)\eta$ ($J=1,2,3$) processes, where the ${\rm Y}(10753)$ is assigned as a conventional bottomonium under the $4S$-$3D$ mixing scheme. Our result shows that the concerned processes have considerable branching ratios, {\it i.e.}, branching ratios $\mathcal{B}[{\rm Y}(10753)\to {\rm Y}(1^3{D}_1)\eta ]$ and $\mathcal{B}[{\rm Y}(10753)\to {\rm Y}(1^3{D}_2)\eta ]$ can reach up to the order of magnitude of $10^{-4}-10^{-3}$, while $\mathcal{B}[{\rm Y}(10753)\to {\rm Y}(1^3{D}_3)\eta ]$ is around $10^{-6}-10^{-5}$. With the running of Belle II, it is a good opportunity for finding out the concerned hidden-bottom hadronic decays.

Comments: 7 pages, 2 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123, arXiv:2201.12715