Predictions for Bottomonium from a Relativistic Screened Potential Model

Abstract

In this work, a comprehensive analysis of the mass spectra and decay properties of bottomonium states using a relativistic screened potential model is carried out. The mass spectrum, decay constants, $E1$ transitions, $M1$ transitions, and annihilation decay widths are evaluated. The interpretation of $\hat{I}\yen (10355)$, $\hat{I}\yen (10580)$,$\hat{I}\yen (10860)$, and $\hat{I}\yen (11020)$ as $S-D$ mixed bottomonium states are analysed. The $\hat{I}\yen (10355)$ state is considered to be $3S-2D$, $\hat{I}\yen (10580)$ state is considered to be $4S-3D$ mixed state, the $\hat{I}\yen (10753)$ is obtained as purely $\hat{I}{\yen }_1(3D)$ bottomonium state, and the $\hat{I}\yen (10860)$ and $\hat{I}\yen (11020)$ are deemed to be $5S-4D$ mixed states.

Revised some sections, some typos corrected. To be published in Chinese Physics C. arXiv admin note: text overlap with arXiv:2408.06759