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Instanton induced quark dynamics and the pentaquark

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arxiv hep-ph/0404065 v2 pith:62EL4RRJ submitted 2004-04-07 hep-ph

classification hep-ph
keywords configurationdiquarktriquarkcolorconfigurationsdynamicsinducedinstanton
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $750 {\rm MeV}$, in the I=0, $S=1/2$ and color 3 configuration, and a light $ud$-diquark configuration, with mass $440 {\rm MeV}$, 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.

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