$P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions

Abstract

Recently, the LHCb Collaboration reported a new structure $P_{cs}(4459)$ with a mass of 19 MeV below the ${\Xi }_c{\bar{D}}^{\ast }$ threshold. It may be a candidate of molecular state from the ${\Xi }_c{\bar{D}}^{\ast }$ interaction. In the current work, we perform a coupled-channel study of the ${\Xi }_c^{\ast }{\bar{D}}^{\ast }$, ${\Xi }_c^{\prime }{\bar{D}}^{\ast }$, ${\Xi }_c^{\ast }\bar{D}$, ${\Xi }_c{\bar{D}}^{\ast }$, ${\Xi }_c^{\prime }\bar{D}$, and ${\Xi }_c\bar{D}$ interactions in the quasipotential Bethe-Salpeter equation approach. With the help of the heavy quark chiral effective Lagrangian, the potential is constructed by light meson exchanges. Two ${\Xi }_c{\bar{D}}^{\ast }$ molecular states are produced with spin parities $J^P=1/2^{-}$ and $3/2^{-}$. The lower state with $3/2^{-}$ can be related to the observed $P_{cs}(4450)$ while two-peak structure cannot be excluded. Within the same model, other strange hidden-charm pentaquarks are also predicted. Two states with spin parities $1/2^{-}$ and $3/2^{-}$ are predicted near the ${\Xi }_c^{\prime }\bar{D}$, ${\Xi }_c\bar{D}$, and ${\Xi }_c^{\ast }\bar{D}$ thresholds, respectively. As two states near ${\Xi }_c{\bar{D}}^{\ast }$ threshold, two states are produced with $1/2^{-}$ and $3/2^{-}$ near the ${\Xi }_c^{\prime }{\bar{D}}^{\ast }$ threshold. The couplings of the molecular states to the considered channels are also discussed. The experimental research of those states are helpful to understand the origin and internal structure of the $P_{cs}$ and $P_c$ states.

arXiv comment7 pages, 2 figures

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