Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules

Abstract

In this work, we tentatively identify the $P_{cs}(4338)$ as the $\bar{D}{\Xi }_c$ molecular state, and distinguish the isospins of the current operators to explore the $\bar{D}{\Xi }_c$, $\bar{D}{\Lambda }_c$, ${\bar{D}}_s{\Xi }_c$, ${\bar{D}}_s{\Lambda }_c$, ${\bar{D}}^{\ast }{\Xi }_c$, ${\bar{D}}^{\ast }{\Lambda }_c$, ${\bar{D}}_s^{\ast }{\Xi }_c$ and ${\bar{D}}_s^{\ast }{\Lambda }_c$ molecular states without strange, with strange and with double strange in the framework of the QCD sum rules in details. The present explorations favor identifying the $P_{cs}(4338)$ ($P_{cs}(4459)$) as the $\bar{D}{\Xi }_c$ (${\bar{D}}^{\ast }{\Xi }_c$) molecular state with the spin-parity $J^P={\frac{1}{2}}^{-}$ (${\frac{3}{2}}^{-}$) and isospin $(I,I_3)=(0,0)$, the observation of their cousins with the isospin $(I,I_3)=(1,0)$ in the $J/\psi {\Sigma }^0/{\eta }_c{\Sigma }^0$ invariant mass distributions would decipher their inner structures.

Comments: 20 pages, 5 figures