Decays of ${\rm Y}(10860)$ and ${\rm Y}(10753)$ into $\omega {\chi }_{bJ}$

Abstract

In this paper, we model ${\rm Y}(10753)$ as a $4S$-$3D$ bottomonium mixture and ${\rm Y}(10860)$ as a $5S$-$4D$ mixture, and predict the properties of a new bottomonium state, ${\rm Y}(10950)$, as the mixing partner of ${\rm Y}(10860)$. The mixing angles are derived from dielectron decay widths and mass shifts of these bottomonia. We consider open-bottom meson loops in the decays of the $D$-wave bottomonium components, based on a nonrelativistic effective field theory power counting. We show that the $S$-$D$ mixing scheme is consistent with the experimental data of the decays of ${\rm Y}(10860)$ into $\omega {\chi }_{bJ}$ ($J=0,1,2$) and ${\rm Y}(10753)$ into $\omega {\chi }_{bJ}$ ($J=1,2$). Predictions for the dielectron widths and partial decay widths into ${\chi }_{bJ}\omega$ for ${\rm Y}(10753)$ and ${\rm Y}(10950)$ are presented.

15pages, 6figures

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Cited by in corpus (2)

• Exotic hadrons associated with $b$-quark
• 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