Strong decays of the $P_{cs}(4459)$ as a ${\Xi }_c{\bar{D}}^{\ast }$ molecule

Abstract

In this work, we study the strong decay of the newly observed $P_{cs}(4459)$ assuming that it is a pure ${\Xi }_c{\bar{D}}^{\ast }$ molecular state. Considering two possible spin-parity assignments $J^P=1/2^{-}$ and $J^P=3/2^{-}$ the partial decay widths of the ${\Xi }_c{\bar{D}}^{\ast }$ molecular state into $J/\psi \Lambda$, $D_s^{-}{\Lambda }_c^{+}$, and $D{\Xi }_c^{{(}^{\prime })}$ 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 ${\Xi }_c{\bar{D}}^{\ast }$ component. In addition, the calculated partial decay widths with $J^P=1/2^{-}$ ${\Xi }_c{\bar{D}}^{\ast }$ molecular state picture indicates that allowed decay mode, $D{\Xi }_c^{{}^{\prime }}$, 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 $P_{cs}(4459)$.