Doubly hidden-charm/bottom $QQ\bar Q\bar Q$ tetraquark states

TL;DR

This paper predicts the mass spectra of doubly hidden-charm and bottom tetraquark states using a moment sum rule method, indicating potential stability and narrow widths, especially for bottom states.

Contribution

It introduces a novel application of the moment sum rule method to compute the masses of $QQar Qar Q$ tetraquarks, providing new insights into their stability and decay channels.

Findings

$bb\bar b\bar b$ tetraquarks are below the $ ext{eta}_b(1S) ext{eta}_b(1S)$ threshold and likely stable.

$cc\bar c\bar c$ states are above charmonium dissociation thresholds, suggesting different decay modes.

Suggested experimental search channels include $J/\psi J/\psi$ and $\eta_c(1S)\eta_c(1S)$.

Abstract

We study the mass spectra for the $cc\bar c\bar c$ and $bb\bar b\bar b$ tetraquark states by developing a moment sum rule method. Our results show that the $bb\bar b\bar b$ tetraquarks lie below the threshold of $\eta_b(1S)\eta_b(1S)$. They are probably stable and very narrow. The masses for the doubly hidden-charm states $cc\bar c\bar c$ are higher than the spontaneous dissociation thresholds of two charmonium mesons. We suggest to search for such states in the $J/\psi J/\psi$ and $\eta_c(1S)\eta_c(1S)$ channels.