Possible deuteronlike molecular states composed of heavy baryons

We perform a systematic study of the possible loosely bound states composed of two charmed baryons or a charmed baryon and an anticharmed baryon within the framework of the one-boson-exchange model. We consider not only the π exchange but also the η, ρ, ω, φ, and σ exchanges. The S-D mixing effects for the spin triplets are also taken into account. With the derived effective potentials, we calculate the binding energies and rms radii for the systems ΛcΛc(Λc), ΞcΞc(Ξc), ΣcΣc(Σc), Ξc^'Ξc^'(Ξc^'), and ΩcΩc(Ωc). Our numerical results indicate that (1) the H-dibaryonlike state ΛcΛc does not exist and (2) there may exist four loosely bound deuteronlike states for the ΞcΞc and Ξc^'Ξc^' systems with small binding energies and large rms radii.