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.
Highlights
When checking the status of the bottomonia collected by the Particle Data Group (PDG) [1], it is easy to find that compared with the charmonium family, the bottomonium family is far from established
B1⁄2Υð10753Þ → Υð1SÞη 1⁄4 ð0.46–5.46Þ × 10−3; B1⁄2Υð10753Þ → Υð1SÞη0 1⁄4 ð0.11–1.35Þ × 10−3; B1⁄2Υð10753Þ → hbð1PÞη 1⁄4 ð0.20–2.09Þ × 10−3: Our results show that the branching fractions of the Υð10753Þ → Υð1SÞη and Υð10753Þ → hbð1PÞη processes can reach up to 10−3, and the branching ratio of Υð10753Þ → Υð1SÞη0 is around 10−4, which indicates that these discussed transitions can be accessible at the Belle II experiment
The Belle Collaboration released a new analysis on the eþe− → ΥðnSÞπþπ− processes (n 1⁄4 1, 2, 3) and found evidence of a new structure near 10.75 GeV [3], whose mass and width are fitted as M 1⁄4 ð10752.7 Æ 5.9þ−10..17Þ MeV and Γ 1⁄4 ð35.5−þ1117..36−þ33..39Þ MeV, respectively
Summary
When checking the status of the bottomonia collected by the Particle Data Group (PDG) [1], it is easy to find that compared with the charmonium family, the bottomonium family is far from established. Mass of ψð4SÞ is about 54 MeV higher than the mass of Yð4220Þ [24] To solve this problem, the 4S-3D mixing scheme is introduced in Ref. Inspired by the research experiences of constructing the charmonium family [23,24,25], in this work we suggest that introducing the S-D mixing scheme can solve the mass problem of the Υð10753Þ. The mass of the newly reported Υð10753Þ is higher than the predicted mass of Υð3DÞ (10653–10717 MeV) This situation satisfies the requirement of introducing 4S-3D mixing, by which the mass problem of the Υð10753Þ can be solved. This paper is organized as follows: After the Introduction, in Sec. II we introduce the 4S-3D mixing mechanism to assign the Υð10753Þ as a conventional bottomonium state.
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