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Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule

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arxiv hep-ph/0604049 v3 pith:X3UHOVAK submitted 2006-04-06 hep-ph

Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule

classification hep-ph
keywords currentsrulefindtetraquarkcurrentexoticformindependent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study a QCD sum rule analysis for an exotic tetraquark ud bar[s] bar[s] of J^P=0^+ and I = 1. We construct q q bar[q] bar[q] currents in a local product form and find that there are five independent currents for this channel. Due to high dimensional nature of the current, it is not easy to form a good sum rule when using a single current. This means that we do not find any sum rule window to extract reliable results, due to the insufficient convergence of the OPE and to the exceptional important role of QCD continuum. Then we examine sum rules by using currents of linear combinations of two currents among the independent ones. We find two reasonable cases that predict a mass of the tetraquark around 1.5 GeV.

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