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.

20 pages, 5 figures

References in corpus (8)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules

Cited by in corpus (2)

• The singly-charmed pentaquark molecular states via the QCD sum rules
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments