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Possible charmed-strange molecular dibaryons

In this work, we systematically investigate the dibaryons with charm number $C$=1 and strangeness number $S$=$\pm$ 1 from the interactions of a charmed baryon and a strange baryon $Λ_cΛ$, $Λ_cΣ^{(*)}$, $Σ_c^{(*)}Λ$, and $Σ^{(*)}_cΣ^{(*)}$, and corresponding interactions of a charmed baryon and an antistrange baryon $Λ_c\barΛ$, $Λ_c\barΣ^{(*)}$, $Σ^{(*)}_c\barΛ$, and $Σ^{(*)}_c\barΣ^{(*)}$. With the help of the effective Lagrangians with $SU(3)$, heavy quark, and chiral symmetries, the potentials of the interactions considered are constructed by light meson exchanges. To search for the possible molecules, the quasipotential Bethe-Salpeter equation with the interaction potential kernel is solved to find poles from scattering amplitude. The results suggest that attractions widely exist in charmed-strange system with $C$=1 and $S$=$-1$. The $S$-wave bound states can be produced from most of the channels. Few bound states are also produced from the charmed-antistrange interactions. Couple-channel effect are considered in the current work to discuss the couplings of the molecular states to the channels considered. More experimental research for these charmed-strange dibaryons are suggested.