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 $\bar{ D}\Xi_c$, $\bar{ D}\Lambda_c$, $\bar{ D}_s\Xi_c$, $\bar{ D}_s\Lambda_c$, $\bar{ D}^*\Xi_c$, $\bar{ D}^*\Lambda_c$, $\bar{ D}^*_s\Xi_c$ and $\bar{ D}^*_s\Lambda_c$ 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 $\bar{ D}\Xi_c$ ($\bar{ D}^*\Xi_c$) 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.
Categories: hep-ph