Search for the $e^{+}{e}^{-}\to {\eta }_b(1S)\omega$ and $e^{+}{e}^{-}\to {\chi }_{b0}(1P)\omega$ processes at $\sqrt{s}=10.745\mathrm{G}\mathrm{e}\mathrm{V}$

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 10.745 GeV, which is close to the peak of the $\mathrm{{\rm Y}}(10753)$ state. We use data collected by the Belle II experiment during a special run, corresponding to an integrated luminosity of $9.8{\mathrm{f}\mathrm{b}}^{-1}$. We reconstruct $\omega \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays and use the $\omega$ meson’s recoil mass to search for the signals. We do not find evidence for either process, and set upper limits on the corresponding Born-level cross sections of 2.5 pb and 7.8 pb, respectively, at the 90% confidence level. The ${\chi }_{b0}(1P)\omega$ limit is the result of a combination of this analysis and a previous search using full reconstruction.