Study of $e^+e^- \to \pi^+ \pi^-\Upsilon(1D)$ at Belle II
Abstract
The bottomonium spectrum, consisting of bound states of a $ b $ quark and an anti-$ b $ quark, provides an excellent laboratory for probing quantum chromodynamics in the non-perturbative regime. While S and P-wave bottomonium states are well studied experimentally, information on D-wave states remains scarce.
We search for D-wave bottomonium state via the decay of a vector bottomonium-like state $\Upsilon(10753)$ in the reaction $e^+e^- \to \pi^+\pi^- \Upsilon(1D)$, using $19.6~\mathrm{fb}^{-1}$ of data collected with the Belle II detector at center-of-mass energies $\sqrt{s} = 10.653$, 10.701, 10.745, and 10.805~GeV, in the vicinity of the $ \Upsilon(10753) $ resonance.
No significant signals are observed.
Upper limits at the 90\% credibility level are set on the products of the cross sections and branching fractions, $\sigma[e^+e^- \to \pi^+\pi^- \Upsilon_2(1D)] \times \mathcal{B}(\Upsilon_2(1D) \to \gamma \chi_{b1})$ and $\sigma[e^+e^- \to \pi^+\pi^- \Upsilon_3(1D)] \times \mathcal{B}(\Upsilon_3(1D) \to \gamma \chi_{b2})$, at each center-of-mass energy.