$\mathbf{{\rm Y}}(10753)\to \mathbf{{\rm Y}}(\mathbf{nS}){\pi }^{+}{\pi }^{-}$ decays induced by hadronic loop mechanism

Abstract

In this work, we investigate the ${\rm Y}(10753)\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}$ ($n=1,2,3$) processes by considering the hadronic loop mechanism, where ${\rm Y}(10753)$ is assigned to a conventional bottomonium in the $4S$-$3D$ mixing scheme. Our results of the concerned processes own considerable branching ratios, which can reach up to the order of magnitude of $10^{-4}-10^{-3}$. We should indicate that the measured ${\Gamma }_{e^{+}{e}^{-}}\times \mathcal{B}[{\rm Y}(10753)\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}]$ values given by Belle can be reproduced well. This fact supports the former bottomonium assignment to the ${\rm Y}(10753)$ in the $4S$-$3D$ mixing scheme. Obviously, it is a good opportunity for the ongoing Belle II experiment if the predicted result in this work can be tested further.

Comments: 7 pages, 4 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123