Strong decays of the $P_{cs}(4459)$ as a $Ξ_c\bar{D}^{*}$ molecule

Abstract: In this work, we study the strong decay of the newly observed $P_{cs}(4459)$ assuming that it is a pure $\Xi_c\bar{D}^{*}$ molecular state. Considering two possible spin-parity assignments $J^P=1/2^{-}$ and $J^P=3/2^{-}$ the partial decay widths of the $\Xi_c\bar{D}^{*}$ molecular state into $J/\psi{}\Lambda$, $D_s^{-}\Lambda_c^{+}$, and $D\Xi_c^{(')}$ final states through hadronic loops are evaluated with the help of the effective Lagrangians. In comparison with the LHCb data, the spin-party $J^P=1/2^{-}$ the assignment is preferred while this of $J^P=3/2^{-}$ is disfavored. The $P_{cs}(4459)$ in spin-parity $J^P=3/2^{-}$ case maybe explained as $S$-wave coupled bound state with lager $\Xi_c\bar{D}^{*}$ component. In addition, the calculated partial decay widths with $J^P=1/2^{-}$ $\Xi_c\bar{D}^{*}$ molecular state picture indicates that allowed decay mode, $D\Xi_c^{'}$, may have the biggest branching ratio. The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the $P_{cs}(4459)$.