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J=3/2 charmed hypertriton

By solving exact three-body equations, we study the three-baryon system with charm $+1$. We look for possible bound states using baryon-baryon interactions obtained from a chiral constituent quark model. The smaller effect of the $Λ_c \leftrightarrow Σ_c$ conversion reverses the order of the $(I,J)=(0,1/2)$ and $(I,J)=(0,3/2)$ states, rather close on the strange sector. The diminishing of the kinetic energy due to the large reduced mass gives rise to a bound state in the $(I,J)=(0,3/2)$ channel. After correcting for Coulomb effects the binding energy would be between 140 and 715 keV.