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bar{b}bar{b}ud tetraquark resonances in the Born-Oppenheimer approximation using lattice QCD potentials

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arxiv 1811.04724 v1 pith:7YEF4DST submitted 2018-11-12 hep-lat

bar{b}bar{b}ud tetraquark resonances in the Born-Oppenheimer approximation using lattice QCD potentials

classification hep-lat
keywords tetraquarkangularantiquarksapproximationborn-oppenheimerdecaylatticembox
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study tetraquark resonances using lattice QCD potentials for a pair of static antiquarks $\bar{b}\bar{b}$ in the presence of two light quarks $ud$. The system is treated in the Born-Oppenheimer approximation and we use the emergent wave method. We focus on the isospin $I=0$ channel, but consider different orbital angular momenta $l$ of the heavy antiquarks $\bar{b}\bar{b}$. We extract the phase shifts and search for $\mbox{S}$ and $\mbox{T}$ matrix poles on the second Riemann sheet. For orbital angular momentum $l=1$ we find a tetraquark resonance with quantum numbers $I(J^P)=0(1^-)$, resonance mass $m=10576^{+4}_{-4} \, \textrm{MeV}$ and decay width $\Gamma= 112^{+90}_{-103} \textrm{MeV}$, which can decay into two $B$ mesons.

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