Possible $H$-like dibaryon states with heavy quarks

Abstract

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

6 pages, 4 figures, 3 tables