Possible molecular states from interactions of charmed baryons

In this work, we perform a systematic study of possible molecular states composed of two charmed baryons including hidden-charm systems $Λ_c\barΛ_c$, $Σ_c^{(*)}\barΣ_c^{(*)}$, and $Λ_c\barΣ_c^{(*)}$, and corresponding double-charm systems $Λ_cΛ_c$, $Σ_c^{(*)}Σ_c^{(*)}$, and $Λ_cΣ_c^{(*)}$. With the help of the heavy quark chiral effective Lagrangians, the interactions are described with $π$, $ρ$, $η$, $ω$, $ϕ$, and $σ$ exchanges. The potential kernels are constructed, and inserted into the quasipotential Bethe-Salpeter equation. The bound states from the interactions considered is studied by searching for the poles of the scattering amplitude. The results suggest that strong attractions exist in both hidden-charm and double-charm systems considered in the current work, and bound states can be produced in most of the systems. More experiment studies about these molecular states are suggested though the nucleon-nucleon collison at LHC and nucleon-antinucleon collison at $\rm \bar{P}ANDA$.

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