Are there compact heavy four-quark bound states?
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We present an exact method to study four-quark systems based on the hyperspherical harmonics formalism. We apply it to several physical systems of interest containing two heavy and two light quarks using different quark-quark potentials. Our conclusions mark the boundaries for the possible existence of compact, non-molecular, four-quark bound states. While $QQ\bar n \bar n$ states may be stable in nature, the stability of $Q\bar Qn \bar n$ states would imply the existence of quark correlations not taken into account by simple quark dynamical models
10 pages, 1 figure. Accepted for publication in Phys. Rev. D
10 pages, 1 figure. Accepted for publication in Phys. Rev. D