# Canonical interpretation of $Y(10750)$ and $\Upsilon(10860)$ in the $\Upsilon$ family

## TL;DR

This paper investigates the nature of the $Y(10750)$ and $
ext{ extbackslash}Upsilon(10860)$ resonances as mixed bottomonium states using potential models, providing insights into their structure and decay behaviors.

## Contribution

It offers a canonical interpretation of $Y(10750)$ and $
ext{ extbackslash}Upsilon(10860)$ as mixed $S$- and $D$-wave bottomonium states, supported by mass and decay calculations.

## Key findings

- $Y(10750)$ and $
ext{ extbackslash}Upsilon(10860)$ are likely mixed states of $4D$- and $5S$-wave bottomonia.
- Mass and decay properties of $
ext{ extbackslash}Upsilon(11020)$ align with the $
ext{ extbackslash}Upsilon(6S)$ assignment.
- Results support the mixed state interpretation for the resonances.

## Abstract

Inspired by the new resonance $Y(10750)$, we calculate the masses and two-body OZI-allowed strong decays of the higher vector bottomonium sates within both screened and linear potential models. We discuss the possibilities of $\Upsilon(10860)$ and $Y(10750)$ as mixed states via the $S-D$ mixing. Our results suggest that $Y(10750)$ and $\Upsilon(10860)$ might be explained as mixed states between $5S$- and $4D$-wave vector $b\bar{b}$ states. The $Y(10750)$ and $\Upsilon(10860)$ resonances may correspond to the mixed states dominated by the $4D$- and $5S$-wave components, respectively. The mass and the strong decay behaviors of the $\Upsilon(11020)$ resonance are consistent with the assignment of the $\Upsilon(6S)$ state in the potential models.