Abstract
Discussing four-point Green functions of bilinear quark currents in large- QCD, we formulate rigorous criteria for selecting diagrams appropriate for the analysis of potential tetraquark poles. We find that both flavor-exotic and cryptoexotic (i.e., flavor-nonexotic) tetraquarks, if such poles exist, have a width of order , so they are parametrically narrower compared to the ordinary mesons, which have a width of order . Moreover, for flavor-exotic states, the consistency of the large- behavior of “direct” and “recombination” Green functions requires two narrow flavor-exotic states, each coupling dominantly to one specific meson-meson channel.
- Received 19 June 2017
DOI:https://doi.org/10.1103/PhysRevD.96.014022
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