Improved measurement of Born cross sections for χ$_{bJ}$ω and χ$_{bJ}$ (π$^{+}$π$^{−}$π$^{0}$)$_{non−ω}$ (J = 0, 1, 2) at Belle and Belle II

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We study the processes χ$_{bJ}$ω and χ$_{bJ}$ (π$^{+}$π$^{−}$π$^{0}$)$_{non−ω}$ (J = 0, 1, 2) at center-of-mass energies $\sqrt{s}$ from 10.73 to 11.02 GeV using a 142.5 fb$^{−1}$ data sample collected with the Belle detector at the KEKB asymmetric-energy e$^{+}$e$^{−}$ collider; and at $\sqrt{s}\sim 10.75$ GeV using a 19.8 fb$^{−1}$ sample collected with Belle II at SuperKEKB. We find that the Υ(10753) state decays into χ$_{bJ}$ω but not into χ$_{bJ}$ (π$^{+}$π$^{−}$π$^{0}$)$_{non−ω}$, while the Υ(10860) state, in contrast, decays into χ$_{bJ}$ (π$^{+}$π$^{−}$π$^{0}$)$_{non−ω}$ but not into χ$_{bJ}$ω. The mass and width of the Υ(10753) state are measured to be (10756.1 ± 3.4(stat.) ± 2.7(syst.)) MeV/c$^{2}$ and (32.2 ± 11.3(stat.) ± 14.9(syst.)) MeV. The products of the partial width to e$^{+}$e$^{−}$ and branching fractions for Υ(10753) → χ$_{b1}$ω and Υ(10753) → χ$_{b2}$ω are (1.57 ± 0.27(stat.) ± 0.22(syst.)) eV and (1.39 ± 0.41(stat.) ± 0.33(syst.)) eV.[graphic not available: see fulltext]

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