Abstract

We discuss the stability of tetraquark systems with two different masses. After some reminders about the stability of very asymmetric $$QQ{\bar{q}} {\bar{q}}$$ tetraquarks, we demonstrate that in the all-heavy limit $$q \rightarrow Q$$ , the system becomes unstable for standard color-additive models. We also analyze the consequences of symmetry breaking for $$Qq{\bar{Q}}{\bar{q}}$$ configurations: we find a kind of metastability between the lowest threshold $$Q{\bar{Q}} + q{\bar{q}}$$ and the highest one, $$Q{\bar{q}}+{\bar{Q}} q$$ , and we calculate the width of the resonance. Our results are consistent with the experimental observation of narrow hadrons lying well above their lowest decay threshold.

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