Possible bound states of heavy baryonium and heavy dibaryon systems

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 ΛQΛ¯Q, ΞQΞ¯Q, ΣQΣ¯Q, ΞQ′Ξ¯Q′, and ΩQΩ¯Q (Q=c, b), can form bound states. Among the heavy dibaryon systems, only the ΞQΞQ system with I=0 and the ΣQΣQ systems with I=0 and I=1 can exist as bound states. Additionally, the ΣQΣ¯Q system with I=2 and the ΣQΣQ system with I=1 are not deeply bound.