Possible bound states of Heavy Baryonium and Heavy Dibaryon systems

TL;DR

This study uses the Bethe-Salpeter equation to explore potential bound states in heavy baryonium and dibaryon systems, identifying specific configurations that can form stable bound states.

Contribution

It provides a systematic analysis of heavy baryonium and dibaryon systems, predicting which configurations can form bound states using the Bethe-Salpeter approach.

Findings

Heavy baryonium systems can form bound states.

Certain heavy dibaryon systems, like $ ext{Xi}_Q ext{Xi}_Q$, can exist as bound states.

Some systems, such as $ ext{Sigma}_Qar{ extSigma}_Q$ with $I=2$, are not deeply bound.

Abstract

In this work, we systematically study the heavy baryonium and heavy dibaryon systems using the Bethe-Salpeter equation in the ladder and instantaneous approximations for the kernel. Our results indicate that all the heavy baryonium systems, specifically $\Lambda_Q\bar{\Lambda}_Q$, $\Xi_Q\bar{\Xi}_Q$, $\Sigma_Q\bar{\Sigma}_Q$, $\Xi'_Q\bar{\Xi}'_Q$, and $\Omega_Q\bar{\Omega}_Q$ ($Q=c, b$), can form bound states. Among the heavy dibaryon systems, only the $\Xi_Q\Xi_Q$ system with $I=0$ and the $\Sigma_Q\Sigma_Q$ systems with $I=0$ and $I=1$ can exist as bound states. Additionally, the $\Sigma_Q\bar{\Sigma}_Q$ system with $I=2$ and the $\Sigma_Q\Sigma_Q$ system with $I=1$ are not deeply bound.