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Do $c\bar c n\bar n$ bound states exist?
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abstract
The four--quark system $c\bar c n\bar n$ is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four--body Schr\"odinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying $J^{PC}$ states for different isospin configurations no four-quark bound states have been found. Of particular interest is the possible four-quark structure of the X(3872). We rule out the possibility that this particle is a compact tetraquark system, unless additional correlations, either in the form of diquarks or at the level of the interacting potential, not considered in simple quark models do contribute.
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Cited by 1 Pith paper
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Possible Bound States in the $D^\ast\bar D^\ast$/$B^\ast\bar B^\ast$ and $D^\ast D^\ast$/$\bar B^\ast\bar B^\ast$ Systems within the Bethe-Salpeter Formalism
Using one-boson-exchange Bethe-Salpeter equations, the authors find possible S-wave bound states in isoscalar D*Dbar*/B*Bbar* and in the 0(1+) and 1(2+) doubly heavy systems, with the isovector hidden-heavy channels u...
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