Masses of the Bottom-Charm Hybrid $\bar bGc$ States

TL;DR

This paper uses QCD sum rules to predict the mass spectrum of bottom-charm hybrid states with various quantum numbers, revealing a supermultiplet structure similar to known quarkonium hybrids.

Contribution

The study provides the first mass predictions for bottom-charm hybrid states using QCD sum rules, including decay pattern analysis.

Findings

Predicted masses for various $J^P$ bottom-charm hybrids.

Identified supermultiplet structure similar to bottomonium and charmonium hybrids.

Analyzed potential decay channels for these hybrid states.

Abstract

QCD sum rules are used to study the mass spectrum of bottom-charm hybrid $\bar bGc$ systems. The correlation functions and the spectral densities are calculated up to dimension six condensates at leading order of $\alpha_s$ for several $J^P$ quantum numbers. After performing the QCD sum rule analysis, we predict the masses of the $J^P=0^{-}, 0^{+}, 1^{-}, 1^{+}, 2^{-}, 2^{+}$ bottom-charm hybrids. These mass predictions show a similar supermultiplet structure as the bottomonium and charmonium hybrids. Using the QCD sum-rule mass predictions we analyze the possible hadronic decay patterns of the $\bar cGc$, $\bar bGc$ and $\bar bGb$ hybrids including the open-flavour and hidden-flavour mechanisms.