Possible $H$-like dibaryon states $\Lambda_{ c}\Lambda_{ c}$ and $\Lambda_{ b}\Lambda_{ b}$ are investigated within the framework of quark delocalization color screening model. The results show that the interaction between two $\Lambda_{ c}$'s is repulsive, so it cannot be bound state by itself. However, the strong attraction in $\Sigma_{ c}\Sigma_{ c}$ and $\Sigma^{ *}_{ c}\Sigma^{ *}_{ c}$ channels and the strong channel coupling, due to the central interaction of one-gluon-exchange and one-pion-exchange, among $\Lambda_{ c}\Lambda_{ c}$, $\Sigma_{ c}\Sigma_{ c}$ and $\Sigma^{ *}_{ c}\Sigma^{ *}_{ c}$ push the energy of system below the threshold of $\Lambda_{ c}\Lambda_{ c}$ by $22$ MeV. The corresponding system $\Lambda_{ b}\Lambda_{ b}$ has the similar properties as that of $\Lambda_{ c}\Lambda_{ c}$ system, and a bound state is also possible in $\Lambda_{ b}\Lambda_{ b}$ system.

Categories: hep-ph nucl-th

Possible $H$-like dibaryon states with heavy quarks