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We study bottomonium production in association with an $\eta$ meson in$e^+e^-$ annihilations near the $\Upsilon(5S)$, at a center of mass energy of$\sqrt{s}=10.866\,$GeV. The results are based on the $121.4\,$fb$^{-1}$ datasample collected by the Belle experiment at the asymmetric energy KEKBcollider. Only the $\eta$ meson is reconstructed and the missing-mass spectrumof $\eta$ candidates is investigated. We observe the$e^+e^-\to\eta\Upsilon_J(1D)$ process and find evidence for the$e^+e^-\to\eta\Upsilon(2S)$ process, while no significant signals of$\Upsilon(1S)$, $h_b(1P)$, nor $h_b(2P)$ are found. Cross sections for thestudied processes are reported.

Inclusive study of bottomonium production in association with an $\eta$ meson in $e^+e^-$ annihilations near $\Upsilon(5S)$