Possible bound states of Heavy Baryonium and Heavy Dibaryon systems

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 ${\Lambda }_Q{\bar{\Lambda }}_Q$, ${\Xi }_Q{\bar{\Xi }}_Q$, ${\Sigma }_Q{\bar{\Sigma }}_Q$, ${\Xi }_Q^{\prime }{\bar{\Xi }}_Q^{\prime }$, 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.