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u d bar{b} bar{b} tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation

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arxiv 1704.02383 v3 pith:E2ZCQHZ7 submitted 2017-04-07 hep-lat hep-ph

u d bar{b} bar{b} tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation

classification hep-lat hep-ph
keywords bbartetraquarkangularapproximationborn-oppenheimerlatticemomentanumbers
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study tetraquark resonances with lattice QCD potentials computed for a static bbar bbar pair in the presence of two lighter quarks u d, the Born-Oppenheimer approximation and the emergent wave method. As a proof of concept we focus on the system with isospin I = 0, but consider different relative angular momenta l of the heavy quarks bbar bbar. For l=0 a bound state has already been predicted with quantum numbers I(JP) = 0(1+). Exploring various angular momenta we now compute the phase shifts and search for S and T matrix poles in the second Riemann sheet. We predict a tetraquark resonance for l =1, decaying into two B mesons, with quantum numbers I(JP) = 0(1-), mass m = 10 \, 576^{+4}_{-4} MeV} and decay width Gamma = 112^{+90}_{-103} MeV.

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