Including heavy spin effects in the prediction of a b¯b¯ud tetraquark with lattice QCD potentials

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Abstract

We investigate spin effects in four-quark systems consisting of two heavy antibottom quarks and two light up/down quarks. To this end, we use the Born-Oppenheimer approximation. We utilize potentials of two static antiquarks in the presence of two quarks of finite mass computed via lattice QCD and solve a coupled-channel Schr\"odinger equation for the antibottom-antibottom separation. Without taking heavy quark spins into account, this approach predicted a $ud\overline{b}\overline{b}$ tetraquark bound state with quantum numbers $I({J}^{P})=0({1}^{+})$. We now extend this Born-Oppenheimer approach with coupled-channel Schr\"odinger equations, allowing us to incorporate effects due to the heavy $\overline{b}$ spins. We confirm the existence of the $ud\overline{b}\overline{b}$ tetraquark.

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