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arxiv: 1612.02758 · v1 · submitted 2016-12-08 · ✦ hep-lat · hep-ph

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Including heavy spin effects in the prediction of a bar{b} bar{b} u d tetraquark with lattice QCD potentials

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classification ✦ hep-lat hep-ph
keywords heavyeffectsquarkstetraquarkapproachborn-oppenheimerlatticeodinger
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We investigate spin effects in four-quark systems consisting of two heavy anti-bottom 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 anti-bottom-anti-bottom separation. Without taking heavy quark spins into account this approach predicted a $u d \bar b \bar b$ 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 $\bar b$ spins. We confirm the existence of the $u d \bar b \bar b$ tetraquark.

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