Hidden-bottom hadronic decays of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">ϒ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>10753</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> with a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>η</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>′</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msup></mml:math> or <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ω</mml:mi></mml:math> emission
Yu-Shuai Li, Zi-Yue Bai, Qi Huang, Xiang Liu
Abstract
In this work, we propose the $4S\text{\ensuremath{-}}3D$ mixing scheme to assign the $\mathrm{\ensuremath{\Upsilon}}(10753)$ into the conventional bottomonium family. Under this interpretation, we further study its hidden-bottom hadronic decays with a ${\ensuremath{\eta}}^{(\ensuremath{'})}$ or $\ensuremath{\omega}$ emission, which include $\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}(1S){\ensuremath{\eta}}^{(\ensuremath{'})}$, $\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}{h}_{b}(1P)\ensuremath{\eta}$, and $\mathrm{\ensuremath{\Upsilon}}(10753)\ensuremath{\rightarrow}{\ensuremath{\chi}}_{bJ}\ensuremath{\omega}$ ($J=0$, 1, 2) processes. Since the $\mathrm{\ensuremath{\Upsilon}}(10753)$ is above the $B\overline{B}$ threshold, the coupled-channel effect cannot be ignored; thus, when calculating partial decay widths of these $\mathrm{\ensuremath{\Upsilon}}(10753)$ hidden-bottom decays, we apply the hadronic loop mechanism. Our result shows that these discussed decay processes own considerable branching fractions with an order of magnitude of ${10}^{\ensuremath{-}4}--{10}^{\ensuremath{-}3}$, which can be accessible at Belle II and other future experiments.