Analysis of the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark molecular states with QCD sum rules

Abstract

In this article, we study the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark molecular states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension $13$ in a consistent way. The present calculations support assigning the $P_c(4312)$ to be the $\bar{D}{\Sigma }_c$ pentaquark molecular state with $J^P={\frac{1}{2}}^{-}$, assigning the $P_c(4380)$ to be the $\bar{D}{\Sigma }_c^{\ast }$ pentaquark molecular state with $J^P={\frac{3}{2}}^{-}$, assigning the $P_c(4440/4457)$ to be the ${\bar{D}}^{\ast }{\Sigma }_c$ pentaquark molecular state with $J^P={\frac{3}{2}}^{-}$ or the ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark molecular state with $J^P={\frac{5}{2}}^{-}$. Special attentions are payed to the operator product expansion.

39 pages, 46 figures

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Cited by in corpus (27)

• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Structure and decays of hidden heavy pentaquarks
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Exploring a ${\Sigma }_c\bar{D}$ state: with focus on $P_c(4312{)}^{+}$
• Investigation of $P_{cs}(4459{)}^0$ pentaquark via its strong decay to $\Lambda J/\Psi$
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• Partial decay widths of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• Triply-charmed dibaryon states or two-baryon scattering states from the QCD sum rules?
• Isospin eigenstates of the color singlet-singlet type pentaquark states
• Properties of $P_c(4312)$ pentaquark and its bottom partner
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• Analysis of the tetraquark and hexaquark molecular states with the QCD sum rules
• Triply-charmed hexaquark states with the QCD sum rules
• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules
• Heavy-light hybrid mesons with different spin-parities
• The $\Lambda$-type P-wave bottom baryon states via the QCD sum rules
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Lambda$ mass spectrum via the QCD sum rules