Analysis of $P_c^{+}(4380)$ and $P_c^{+}(4450)$ as pentaquark states in the molecular picture with QCD sum rules

Abstract

To better understand the nature and internal structure of the exotic states discovered by many collaborations, more information on their electromagnetic properties and their strong and weak interactions with other hadrons is needed. The residue or current coupling constant of these states together with their mass are the main inputs in determinations of such properties. We perform QCD sum rules analyses on the hidden-charm pentaquark states with spin-parities $J^P={\frac{3}{2}}^{\pm }$ and $J^P={\frac{5}{2}}^{\pm }$ to calculate their residue and mass. In the calculations, we adopt a molecular picture for $J^P={\frac{3}{2}}^{\pm }$ states and a mixed current in a molecular form for $J^P={\frac{5}{2}}^{\pm }$. Our analyses show that the $P_c^{+}(4380)$ and $P_c^{+}(4450)$, observed by LHCb Collaboration, can be considered as hidden-charm pentaquark states with $J^P={\frac{3}{2}}^{-}$ and $J^P={\frac{5}{2}}^{+}$, respectively.

11 Pages, 2 Figures and 2 Tables

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Cited by in corpus (66)

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• Hidden-charm pentaquarks and $P_c$ states
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• How to reveal the nature of three or more pentaquark states?
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• Hidden charm pentaquarks with color-octet substructure in QCD Sum Rules
• Investigating the hidden-charm and hidden-bottom pentaquark resonances in scattering process
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• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
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• Strong Decay of $P_c(4380)$ Pentaquark in a Molecular Picture
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
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• Hidden Bottom Pentaquark States with Spin 3/2 and 5/2
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• The singly-charmed pentaquark molecular states via the QCD sum rules
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• Possible Molecular Pentaquark States with Different Spin and Quark Configurations
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• Decay properties of $P_c$ states through the Fierz rearrangement
• 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
• $P_c$ Resonances in the Compact Pentaquark Picture
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• Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state
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• The electromagnetic multipole moments of the possible charm-strange pentaquarks in light-cone QCD
• Interaction and Identification of the Meson-Baryon molecules
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
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• Exotic hadrons associated with $b$-quark
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$