Investigating full-heavy tetraquarks composed of $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$

TL;DR

This study systematically investigates full-heavy tetraquarks $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ using the chiral quark model, predicting possible resonance states with specific energies and decay widths, guiding future experimental searches.

Contribution

It provides the first systematic analysis of these tetraquark systems considering multiple structural configurations and predicts resonance states with detailed properties.

Findings

No bound states found in certain channels.

Three resonance states predicted for each system with specific energies.

Decay widths of the resonance states are estimated.

Abstract

The full-heavy tetraquarks $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ are systematically investigated within the chiral quark model. The meson-meson structure, diquark-antidiquark structure and K-structure are considered in this work. There is no bound state for $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ systems in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$ channels. However, for $cc\bar{c}\bar{b}$ system, three possible resonance states with energy of $ 10079~{\rm MeV} $, $ 10081~{\rm MeV} $ and $ 10177~{\rm MeV} $ are found in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$, respectively, and their decay width $ \Gamma$ are $6.7-8.4~{\rm MeV} $, $1.4-7.2~{\rm MeV} $ and $9.1-11.1~{\rm MeV} $. For $bb\bar{b}\bar{c}$ system, there also exist three possible resonance states with energy of $ 16474~{\rm MeV} $, $ 16474~{\rm MeV} $ and $ 16541~{\rm MeV} $ in $ IJ^{P}=00^{+},01^{+}$ and $ 02^{+}$, respectively, and the decay widths $ \Gamma$ of them are $2.2-6.1~{\rm MeV} $, $2.2-6.9~{\rm MeV} $ and $5.3-8.5~{\rm MeV} $. $bc\bar{c}\bar{c}$ and $cb\bar{b}\bar{b}$ systems will have the same results as $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$, respectively. These full-heavy resonance states are worthy to be searched in the future experiments.