Improved measurement of Born cross sections for ${\chi }_{bJ}\omega$ and ${\chi }_{bJ}({\pi }^{+}{\pi }^{-}{\pi }^0{)}_{\mathrm{non}-\omega }$ ($J$ = 0, 1, 2) at Belle and Belle II

Abstract

We study the processes ${\chi }_{bJ}\omega$ and ${\chi }_{bJ}({\pi }^{+}{\pi }^{-}{\pi }^0{)}_{\mathrm{non}-\omega }$ ($J$ = 0, 1, 2) at center-of-mass energies $\sqrt{s}$ from 10.73 to 11.02 GeV using a $142.5{\mathrm{fb}}^{-1}$ 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 $19.8{\mathrm{fb}}^{-1}$ sample collected with Belle II at SuperKEKB. We find that the ${\rm Y}(10753)$ state decays into ${\chi }_{bJ}\omega$ but not into ${\chi }_{bJ}({\pi }^{+}{\pi }^{-}{\pi }^0{)}_{\mathrm{non}-\omega }$, while the ${\rm Y}(10860)$ state, in contrast, decays into ${\chi }_{bJ}({\pi }^{+}{\pi }^{-}{\pi }^0{)}_{\mathrm{non}-\omega }$ but not into ${\chi }_{bJ}\omega$. The mass and width of the ${\rm Y}(10753)$ state are measured to be $(10756.1\pm 3.4(stat.)\pm 2.7(syst.))$ MeV/$c^2$ and $(32.2\pm 11.3(stat.)\pm 14.9(syst.))$ MeV. The products of the partial width to $e^{+}{e}^{-}$ and branching fractions for ${\rm Y}(10753)\to {\chi }_{b1}\omega$ and ${\rm Y}(10753)\to {\chi }_{b2}\omega$ are ($1.57\pm 0.27(stat.)\pm 0.22(syst.)$) eV and ($1.39\pm 0.41(stat.)\pm 0.33(syst.)$) eV.

arXiv commentBelle II Preprint 2025-003; KEK Preprint 2024-52

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