Gauge-invariant multiquark operators decompose into products of ordinary hadronic operators, which rules out fully compact multiquark bound states.
Tetraquarks in the 1/N Expansion: a New Appraisal
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abstract
We discuss the necessary, albeit not sufficient, conditions for tetraquark poles to occur in the 1/N expansion of QCD and find the minimum order at which such poles may appear. Assuming tetraquark poles, we find a new non-planar solution with the minimal number of topologies and tetraquark species. The solution implies narrow states. Mixing with quarkonium states is allowed so that P-wave tetraquarks with J^PC=1^-- would couple to e^+e^-.
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Cluster reducibility of multiquark operators
Gauge-invariant multiquark operators decompose into products of ordinary hadronic operators, which rules out fully compact multiquark bound states.