Higher bottomonium zoo

TL;DR

This paper investigates higher bottomonium states up to specific multiplets using a modified Godfrey-Isgur model that includes color screening, providing theoretical predictions for their spectra and decay properties to aid experimental searches.

Contribution

The study extends bottomonium spectroscopy to higher states with a modified model, offering new mass spectra and decay predictions that differ from previous models.

Findings

Mass spectra agree with experimental data

Calculated decay widths for various transitions

Identified significant differences with previous models for high states

Abstract

In this work, we study higher bottomonia up to the $nL=8S$, $6P$, $5D$, $4F$, $3G$ multiplets using the modified Godfrey-Isgur (GI) model, which takes account of color screening effects. The calculated mass spectra of bottomonium states are in reasonable agreement with the present experimental data. Based on spectroscopy, partial widths of all allowed radiative transitions, annihilation decays, hadronic transitions, and open-bottom strong decays of each state are also evaluated by applying our numerical wave functions. Comparing our results with the former results, we point out difference among various models and derive new conclusions obtained in this paper. Notably, we find a significant difference between our model and the GI model when we study $D, F$, and $G$ and $n\ge 4$ states. Our theoretical results are valuable to search for more bottomonia in experiments, such as LHCb, and forthcoming Belle II.