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arxiv 1104.4257 v2 pith:FJJBEDIY submitted 2011-04-21 hep-ph hep-exnucl-th

Possible Deuteron-like Molecular States Composed of Heavy Baryons

classification hep-ph hep-exnucl-th
keywords lambdaprimeomegasigmastatesbaryonbaryonsbinding
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\eta$, $\rho$, $\omega$, $\phi$ 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.

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Cited by 1 Pith paper

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  1. Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework

    hep-ph 2026-07 conditional novelty 4.0

    Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.