Search for the $e^+e^-\toη_{b}(1S)ω$ and $e^+e^-\toχ_{b0}(1P)ω$ processes at $\sqrt{s}=10.745\,\mathrm{GeV}$
We search for the $e^+e^-\toη_b(1S)ω$ and $e^+e^-\toχ_{b0}(1P)ω$ processes at a center-of-mass energy of 10.745 GeV, which is close to the peak of the $Υ(10753)$ state. We use data collected by the Belle II experiment during a special run, corresponding to an integrated luminosity of $9.8\,\mathrm{fb}^{-1}$. We reconstruct $ω\toπ^+π^-π^0$ decays and use the $ω$ 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 $χ_{b0}(1P)ω$ limit is the result of a combination of this analysis and a previous search using full reconstruction.