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Possible Deuteron-like 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 anti-charmed baryon within the framework of the one boson exchange (OBE) 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 root-mean-square (RMS) radii for the systems $Λ_cΛ_c(\barΛ_c)$, $Ξ_cΞ_c(\barΞ_c)$, $Σ_cΣ_c(\barΣ_c)$, $Ξ_c^\primeΞ_c^\prime(\barΞ_c^\prime)$ and $Ω_cΩ_c(\barΩ_c)$. Our numerical results indicate that: (1) the H-dibaryon-like state $Λ_cΛ_c$ does not exist; (2) there may exist four loosely bound deuteron-like states $Ξ_cΞ_c$ and $Ξ_c^\primeΞ_c^\prime$ with small binding energies and large RMS radii.