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Observation of e+e- -> eta Upsilon(2S) and search for e+e- -> eta Upsilon(1S), gamma X_b at sqrt(s) near 10.75 GeV
We present an analysis of the processes e+ e- -> eta Upsilon(1S), eta Upsilon(2S), and gamma X_b with X_b -> pi+ pi- chi_bJ, chi_bJ -> gamma Upsilon(1S) (J = 1, 2) reconstructed from gamma gamma pi+ pi- l+ l- (l = e, mu) final states in 19.6 fb^-1 of Belle II data collected at four energy points near the peak of the Upsilon(10753) resonance. Here, X_b is a hypothetical bottomonium-sector partner of the X(3872). In the process e+ e- -> eta Upsilon(2S), we observe a signal with a significance that exceeds 6.0 sigma when all energy points are combined. A signal with a significance of 4.2 sigma is observed at a center-of-mass energy of 10.653 GeV, close to the B* B*bar threshold. At this energy, we measure sigma(eta Upsilon(2S)) / sigma(pi+ pi- Upsilon(2S)) > 23 at the 90% confidence level, indicating a strong violation of heavy-quark spin symmetry. No significant signal is observed for e+ e- -> eta Upsilon(1S) or gamma X_b. Upper limits on the Born cross sections for the processes e+ e- -> eta Upsilon(1S) and e+ e- -> gamma X_b with X_b -> pi+ pi- chi_bJ are determined.