Observation of $e^+e^-\toπ^+π^-π^0χ_{b1,2}(1P)$ and search for $e^+e^-\toϕχ_{b1,2}(1P)$ at $\sqrt{s}=$10.96---11.05 GeV

Abstract

We report searches for the processes $e^+e^-\toπ^+π^-π^0χ_{bJ}$ and $e^+e^-\toϕχ_{bJ}$ (J=1,2) based on data samples collected by the Belle experiment at the KEKB collider. We report the first observation of the process $e^+e^-\to (π^+π^-π^0)_{\rm non-ω}χ_{b1}$ and first evidence for $e^+e^-\toωχ_{bJ}$ in the vicinity of the $Υ(11020)$ resonance, with center-of-mass energies from 10.96 to 11.05~GeV. The significances for $(π^+π^-π^0)_{\rm non-ω}χ_{b1}$ and $ωχ_{bJ}$ are greater than $5.3σ$ and $4.0σ$, respectively. We also investigate the energy dependence of the $e^+e^-\toπ^+π^-π^0χ_{bJ}$ cross section, but we cannot determine whether the contributions are from the $Υ(10860)$ and $Υ(11020)$ resonances or non-resonant continuum processes. The signals for $e^+e^-\to ϕχ_{bJ}$ are not significant, and the upper limits of the Born cross sections at the 90\% confidence level are $0.7$ and $1.0$~pb for $e^+e^-\to ϕχ_{b1}$ and $ϕχ_{b2}$, respectively, for center-of-mass energies from 10.96 to 11.05~GeV.

8pages, 3 figures