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We study heavy spin effects in and four-quark systems using the Born-Oppenheimer approximation and existing antistatic-antistatic potentials computed with lattice QCD. We report about a recent refined investigation of the system with , where we predicted a tetraquark resonance slightly above the threshold. Furthermore, we extend our Born-Oppenheimer approach to four-quark systems. For quantum numbers as well as we find virtual bound states rather far away from the lowest meson-meson thresholds.

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