$\mathbf{Υ(10753)\toΥ(nS)π^+π^-}$ decays induced by hadronic loop mechanism

Abstract: In this work, we investigate the $\Upsilon(10753)\to\Upsilon(nS)\pi<sup>+\pi<sup>-$ ($n=1,2,3$) processes by considering the hadronic loop mechanism, where $\Upsilon(10753)$ 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 $10<sup>{-4}-10<sup>{-3}$. We should indicate that the measured $$\Gamma_{e<sup>+e<sup>-}\times\mathcal{B}[\Upsilon(10753)\to\Upsilon(nS)\pi<sup>+\pi<sup>-]$$ values given by Belle can be reproduced well. This fact supports the former bottomonium assignment to the $\Upsilon(10753)$ 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.