A QCD sum rule analysis of the pentaquark

Abstract

We perform a QCD sum rule calculation to determine the mass and the parity of the lowest lying pentaquark state. We include operators up to dimension $d=13$ in the OPE and the direct instanton contributions. We find evidence for a positive parity state. The contribution from operators of dimension $d>5$ is instrumental in determining the parity of the state and achieving the convergence of the sum rule.

arXiv comment10 pages, 8 figures, version to be appeared in Phys. Rev. D

References in corpus (19)

• Instantons in QCD
• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• Exotica
• QCD at Low Energies
• Instantons at work
• Understanding Pentaquark States in QCD
• QCD sum rule approach for the light scalar mesons as four-quark states
• Operator Product Expansion, Heavy Quarks, QCD Duality and its Violations
• Experimental Search for Pentaquarks
• Penta-quark baryon from the QCD Sum Rule
• Are ${\Theta }^{+}$ and the Roper resonance diquark-diquark-antiquark states?
• Direct Instantons in QCD Nucleon Sum Rules
• Pentaquark and diquark-diquark clustering: a QCD sum rule approach
• Instanton induced quark dynamics and the pentaquark
• Multi-Instanton Effects in QCD Sum Rules for the Pion
• Pentaquark decay is suppressed by chirality conservation
• Triquark correlations and pentaquarks in a QCD sum rule approach
• Four-Quark States and Nucleon-Antinucleon Annihilation within the Quark Model with Instanton Induced Interaction
• Effects of Instanton Induced Interaction on the Pentaquarks

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