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


Abstract in English

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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