Spin-3/2 pentaquark in the QCD sum rule

Abstract

We study $I{J}^P=0{3/2}^{\pm }$ and $1{3/2}^{\pm }$ pentaquark states with $S=+1$ in the QCD sum rule approach. The QCD sum rule for positive parity states and that for negative parity are independently derived. The sum rule suggests that there exist the $0{3/2}^{-}$ and the $1{3/2}^{-}$ states. These states may be observed as extremely narrow peaks since they can be much below the $S$-wave threshold and since the only allowed decay channels are $NK$ in $D$-wave, whose centrifugal barriers are so large that the widths are strongly suppressed. The $0{3/2}^{-}$ state may be assigned to the observed ${\Theta }^{+}(1540)$ and the $1{3/2}^{-}$ state can be a candidate for ${\Theta }^{++}$.

27 pages, 14 figures

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Cited by in corpus (12)

• Analysis of $P_c^{+}(4380)$ and $P_c^{+}(4450)$ as pentaquark states in the molecular picture with QCD sum rules
• Spin 3/2 Penta-quarks in anisotropic lattice QCD
• Pentaquark state in pole-dominated QCD sum rules
• Theta+ formation in inclusive gamma D -> pK- X
• Axial vector tetraquark with S=+2
• Effects of Instanton Induced Interaction on the Pentaquarks
• Spin 3/2 Pentaquarks
• Spin-3/2 Pentaquark in QCD Sum Rules
• Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules
• P-wave Pentaquark and its Decay in the Quark Model with Instanton Induced Interaction
• The 27-plet baryons with spin 3/2 under SU(3) symmetry
• Spectroscopy of Pentaquark Baryons