Instanton induced quark dynamics and the pentaquark

Abstract

We analyze the existence of the exotic ${\Theta }^{+}$ from the perspective of instanton induced quark dynamics. The 't Hooft interaction gives strong attraction in specific channels of the triquark $ud\bar{s}$ and diquark $ud$ configurations. In particular it leads to a light $ud\bar{s}$ triquark cluster, with the mass around $750\mathrm{MeV}$, in the I=0, $S=1/2$ and color 3 configuration, and a light $ud$-diquark configuration, with mass $440\mathrm{MeV}$, in the I=0, S=0 and color {$\bar{3}$} configuration. If we consider the pentaquark as a bound state of such triquark and diquark configurations in a relative L=1 state we obtain good agreement with the data. The small width of ${\Theta }^{+}$ has a natural explanation in this model.

arXiv comment14 pages, 2 figures; added references, corrected typos

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• The colour triplet qqqbar cluster and pentaquark models
• Pentaquark implications for exotic mesons
• Triquark correlations and pentaquarks in a QCD sum rule approach
• A QCD sum rule analysis of the pentaquark
• Two-meson cloud contribution to the baryon antidecuplet binding
• Effects of Instanton Induced Interaction on the Pentaquarks
• Pentaquarks $uudd\bar{q}$ with One Color Sextet Diquark
• Triquark structure and isospin symmetry breaking in exotic Ds mesons
• Structure and decay width of Θ^+ in a one-gluon exchange model
• P-wave Pentaquark and its Decay in the Quark Model with Instanton Induced Interaction
• Relativistic Calculation of the Width of the Theta (1540) Pentaquark
• Low-lying $s=+1$ Pentaquark states in the Inherent Nodal Structure Analysis
• Pentaquark from QCD sum rules: consequences of the diquark approach