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Exotic states and their properties from large-$N_{\rm c}$ QCD
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abstract
The analysis of two-ordinary-meson scattering amplitudes in the limit of a large number $N_{\rm c}$ of the colour degrees of freedom of quantum chromodynamics, with suitably decreasing strong coupling and all quarks transforming according to the gauge group's fundamental representation, enables us to establish a set of rigorous consistency conditions for the emergence of a tetraquark (i.e., a bound state of two quarks and two antiquarks) as a pole in these amplitudes. For genuinely flavour-exotic tetraquarks, these constraints require the existence of two tetraquark states distinguishable by their preferred couplings to two ordinary mesons, whereas, for cryptoexotic tetraquarks, our constraints may be satisfied by a single tetraquark state, which then, however, may mix with ordinary mesons. For elucidation of the tetraquark features, the consideration of the subleading contributions proves to be mandatory: for both variants of tetraquarks, their decay widths fall off like $1/N_{\rm c}^2$ for large $N_{\rm c}.$
Forward citations
Cited by 2 Pith papers
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Flavour-Exotic Tetraquarks in Large-$N_{\rm c}$ QCD: Do They Exist?
Large-Nc QCD requires two flavour-exotic tetraquark states, but only one compact diquark-antidiquark configuration exists, so compact flavour-exotic tetraquarks likely do not exist.
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Tetraquark-Adequate QCD Sum Rules
QCD sum rules for tetraquarks should exclude unconnected meson-meson contributions; the corrected rules retain only diagrams of order alpha_s^2 or higher.
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