Prediction of anomalous $Υ(5S)\toΥ(1^3D_J)η$ transitions

In this work, we study the hadronic loop contribution to the $Υ(5S)\to Υ(1^3D_J)η$ ($J=1,2,3$) transitions. We predict that the branching ratios of $Υ(5S)\to Υ(1^3D_1)η$, $Υ(5S)\to Υ(1^3D_2)η$ and $Υ(5S)\to Υ(1^3D_3)η$ can reach up to $(0.5\sim5.1)\times10^{-3}$, $(0.7\sim7.5)\times10^{-3}$ and $(0.9\sim9.6)\times10^{-4}$, respectively. Since these predicted hadronic transitions of $Υ(5S)$ are comparable with these observed $Υ(5S)\to Υ(nS)π^+π^-$ $(n=1,2,3)$, we suggest future experiment like Belle and BelleII to carry out the search for these anomalous $Υ(5S)\to Υ(1^3D_J)η$ transitions.

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