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 ${\rm Y}(10355)$, ${\rm Y}(10580)$,${\rm Y}(10860)$, and ${\rm Y}(11020)$ as $S-D$ mixed bottomonium states are analysed. The ${\rm Y}(10355)$ state is considered to be $3S-2D$, ${\rm Y}(10580)$ state is considered to be $4S-3D$ mixed state, the ${\rm Y}(10753)$ is obtained as purely ${{\rm Y}}_1(3D)$ bottomonium state, and the ${\rm Y}(10860)$ and ${\rm Y}(11020)$ are deemed to be $5S-4D$ mixed states.

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