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We search for the $e^+e^-\to\eta_b(1S)\omega$ and$e^+e^-\to\chi_{b0}(1P)\omega$ processes at a center-of-mass energy of 10.745GeV, which is close to the peak of the $\Upsilon(10753)$ state. We use datacollected by the Belle II experiment during a special run, corresponding to anintegrated luminosity of $9.8\,\mathrm{fb}^{-1}$. We reconstruct$\omega\to\pi^+\pi^-\pi^0$ decays and use the $\omega$ meson's recoil mass tosearch for the signals. We do not find evidence for either process, and setupper limits on the corresponding Born-level cross sections of 2.5 pb and 7.8pb, respectively, at the 90% confidence level. The $\chi_{b0}(1P)\omega$ limitis the result of a combination of this analysis and a previous search usingfull reconstruction.

Search for the $e^+e^-\to\eta_{b}(1S)\omega$ and $e^+e^-\to\chi_{b0}(1P)\omega$ processes at $\sqrt{s}=10.745\,\mathrm{GeV}$