Decays of $\Upsilon(10860)$ and $\Upsilon(10753)$ into $\omega\chi_{bJ}$

TL;DR

This paper models specific bottomonium states as mixed S-D states, predicts properties of a new state, and shows the mixing scheme aligns with experimental decay data, providing insights into bottomonium spectroscopy.

Contribution

It introduces a mixing model for $5$ and $4$ bottomonium states, predicts properties of $10950$, and demonstrates consistency with experimental decay observations.

Findings

The mixing scheme matches decay data for $10753$ and $10860$.

Predicted decay widths and dielectron widths for $10953$ and $10950$.

The model supports $10950$ as a new bottomonium state.

Abstract

In this paper, we model $\Upsilon(10753)$ as a $4S$-$3D$ bottomonium mixture and $\Upsilon(10860)$ as a $5S$-$4D$ mixture, and predict the properties of a new bottomonium state, $\Upsilon(10950)$, as the mixing partner of $\Upsilon(10860)$. 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 $\Upsilon(10860)$ into $\omega\chi_{bJ}$ ($J=0,1,2$) and $\Upsilon(10753)$ into $\omega\chi_{bJ}$ ($J=1,2$). Predictions for the dielectron widths and partial decay widths into $\chi_{bJ}\omega$ for $\Upsilon(10753)$ and $\Upsilon(10950)$ are presented.