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We compute masses of bottomonium and charmonium bound states using a Schrödinger equation with a heavy quark-antiquark potential including and corrections previously derived in potential Non-Relativistic QCD and computed with lattice QCD. This is a preparatory step for a future project, where we plan to take into account similar corrections to study quarkonium resonances and tetraquarks above the lowest meson-meson thresholds.

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