# Masses and decays of the bottom-charm hybrid meson $c \bar{b} g$

## TL;DR

This paper investigates the mass spectra and decay properties of bottom-charm hybrid mesons using a constituent gluon model, predicting their masses and decay widths to guide future experimental searches.

## Contribution

It introduces a detailed three-body constituent gluon model for bottom-charm hybrids and predicts their masses and decay widths, highlighting the potential for experimental discovery.

## Key findings

- Lowest hybrid states are above the $DB$ threshold.
- Decay widths strongly depend on the final meson states.
- Hybrid mesons may be observed as first excited states.

## Abstract

We study gluonic excitations inside a $B_{c} $ meson in the constituent gluon model, treating a bottom-charm hybrid meson $ c \bar{b} g $ as a three-body system. We obtain the mass spectra for the hybrid mesons with magnetic gluon and electric gluon and see that their lowest states appear above the $ D B $ threshold. Also, we consider the decays of the low-lying states of the hybrid meson into $ DB , \; D^{*} B, DB^{*} $, $ D^{*}B^{*} $, $ D_{s} B_{s} $, and $D_{s} B_{s}^{*} $ mesons, developing an existing model for the strong decays. We estimate their partial decay widths and find that the widths have a heavy dependence on the final meson states. We argue that the accuracy of our model will be tested experimentally when the branching ratios of the decays are measured. Our results suggest that there could be a prospect that the hybrid meson will be discovered as its first excited state rather than its lowest state.