Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions

Abstract

In this work, we study the hadronic loop contribution to the ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ ($J=1,2,3$) transitions. We predict that the branching ratios of ${\rm Y}(5S)\to {\rm Y}(1^3{D}_1)\eta$, ${\rm Y}(5S)\to {\rm Y}(1^3{D}_2)\eta$ and ${\rm Y}(5S)\to {\rm Y}(1^3{D}_3)\eta$ can reach up to $(0.5\sim 5.1)\times 10^{-3}$, $(0.7\sim 7.5)\times 10^{-3}$ and $(0.9\sim 9.6)\times 10^{-4}$, respectively. Since these predicted hadronic transitions of ${\rm Y}(5S)$ are comparable with these observed ${\rm Y}(5S)\to {\rm Y}(nS){\pi }^{+}{\pi }^{-}$ $(n=1,2,3)$, we suggest future experiment like Belle and BelleII to carry out the search for these anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions.

arXiv comment8 pages, 2 tables and 4 figures. Accepted by Phys. Rev. D

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• J/psi couplings to charmed resonances and to pi
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• Observation of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\chi }_{bJ}$ and search for $X_b\to \omega {\rm Y}(1S)$ at $\sqrt{s}\sim 10.867$ GeV
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• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
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• Proposal of searching for the ${\rm Y}(6S)$ hadronic decays into ${\rm Y}(nS)$ plus ${\eta }^{(\prime )}$
• Hidden-bottom hadronic transitions of ${\rm Y}(10753)$
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
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• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• Predictions of ${\rm Y}(4S)\to h_b(1P,2P){\pi }^{+}{\pi }^{-}$ transitions
• $D$ wave bottomonia production from $Z_b^{(\prime )}$ decay
• Charmonium decays into ${\Lambda }_c{\bar{\Lambda }}_c$ pair governed by the hadronic loop mechanism
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$