Possible Deuteron-like Molecular States Composed of Heavy Baryons

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 $\pi$ exchange but also the $\eta$, $\rho$, $\omega$, $\varphi$ and $\sigma$ 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 ${\Lambda }_c{\Lambda }_c({\bar{\Lambda }}_c)$, ${\Xi }_c{\Xi }_c({\bar{\Xi }}_c)$, ${\Sigma }_c{\Sigma }_c({\bar{\Sigma }}_c)$, ${\Xi }_c^{\prime }{\Xi }_c^{\prime }({\bar{\Xi }}_c^{\prime })$ and ${\Omega }_c{\Omega }_c({\bar{\Omega }}_c)$. Our numerical results indicate that: (1) the H-dibaryon-like state ${\Lambda }_c{\Lambda }_c$ does not exist; (2) there may exist four loosely bound deuteron-like states ${\Xi }_c{\Xi }_c$ and ${\Xi }_c^{\prime }{\Xi }_c^{\prime }$ with small binding energies and large RMS radii.

Comments: 17 pages, 32 figures