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 exchange but also the , , , and exchanges. The 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 , , , and . Our numerical results indicate that: (1) the H-dibaryon-like state does not exist; (2) there may exist four loosely bound deuteron-like states and with small binding energies and large RMS radii.
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