Possible Deuteron-like Molecular States Composed of Heavy Baryons

preprint2011arXivOpen access

Abstract

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 ππ exchange but also the ηη, ρρ, ωω, ϕϕ and σσ exchanges. The S−DS-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 ΛcΛc(Λˉc)Λ_cΛ_c(\barΛ_c), ΞcΞc(Ξˉc)Ξ_cΞ_c(\barΞ_c), ΣcΣc(Σˉc)Σ_cΣ_c(\barΣ_c), Ξc′Ξc′(Ξˉc′)Ξ_c^\primeΞ_c^\prime(\barΞ_c^\prime) and ΩcΩc(Ωˉc)Ω_cΩ_c(\barΩ_c). Our numerical results indicate that: (1) the H-dibaryon-like state ΛcΛcΛ_cΛ_c does not exist; (2) there may exist four loosely bound deuteron-like states ΞcΞcΞ_cΞ_c and Ξc′Ξc′Ξ_c^\primeΞ_c^\prime with small binding energies and large RMS radii.

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