Hidden-bottom hadronic decays of $\Upsilon(10753)$ with a $\eta^{(\prime)}$ or $\omega$ emission

TL;DR

This paper assigns the $5$053$ to the bottomonium family using a mixing scheme and studies its hidden-bottom decays involving $$ or $$ emissions, predicting measurable branching ratios for future experiments.

Contribution

It introduces a $4S$-$3D$ mixing scheme for $5$053$ and calculates its hidden-bottom decay widths considering coupled-channel effects with hadronic loops.

Findings

Decay processes have branching fractions of $10^{-4}$ to $10^{-3}$.

Results are accessible at Belle II and future experiments.

Supports the bottomonium assignment of $5$053$.

Abstract

In this work, we propose the $4S$-$3D$ mixing scheme to assign the $\Upsilon(10753)$ into the conventional bottomonium family. Under this interpretation, we further study its hidden-bottom hadronic decays with a $\eta^{(\prime)}$ or $\omega$ emission, which include $\Upsilon(10753)\to\Upsilon(1S)\eta^{(\prime)}$, $\Upsilon(10753)\to h_{b}(1P)\eta$ and $\Upsilon(10753)\to\chi_{bJ}\omega$ ($J$=0,1,2) processes. Since the $\Upsilon(10753)$ is above the $B\bar{B}$ threshold, the coupled-channel effect cannot be ignored, thus, when calculating partial decay widths of these $\Upsilon(10753)$ hidden-bottom decays, we apply the hadronic loop mechanism. Our result shows that these discussed decay processes own considerable branching fractions with the order of magnitude of $10^{-4}\sim 10^{-3}$, which can be accessible at Belle II and other future experiments.