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 (17)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• 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 $P_c(4457)$
• Establishing the first hidden-charm pentaquark with strangeness
• Evidence for a new structure in the $J/\psi p$ and $J/\psi \bar{p}$ systems in $B_s^0\to J/\psi p\bar{p}$ decays
• 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
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• Isospin eigenstates of the color singlet-singlet type pentaquark states
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
• Does vacuum saturation work for the higher dimensional vacuum condensates in the QCD sum rules?

Cited by in corpus (17)

• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Exotic hadrons associated with $b$-quark
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton