Search for e⁺ e⁻ → γ χb J $(J = 0, 1, 2)$ near √s=10.746~GeV at Belle II

We search for the e⁺ e⁻ → γ χb J $(J=0, 1, 2)$ processes at center-of-mass energies √s = 10.653, 10.701, 10.746, and 10.804~ GeV. These data were collected with the Belle II detector at the SuperKEKB collider and correspond to $3.5, 1.6, 9.8,$ and 4.7~fb- 1 of integrated luminosity, respectively. We set upper limits at the 90% confidence level on the Born cross sections for e⁺ e⁻ → γ χb J at each center-of-mass energy √s near 10.746 GeV. The upper limits at 90% confidence level on the Born cross sections for e⁺ e⁻ → γ χb 1 are significantly smaller than the corresponding measured values for e⁺ e⁻ → ω χb 1 and e⁺ e⁻ → π⁺ π⁻ Υ( 2 S) at √s = 10.746 ~GeV.