Tetraquark resonances computed with static lattice QCD potentials and scattering theory

We study tetraquark resonances with lattice QCD potentials computed for two static quarks and two dynamical quarks, the Born-Oppenheimer approximation and the emergent wave method of scattering theory. As a proof of concept we focus on systems with isospin $I=0$, but consider different relative angular momenta $l$ of the heavy $b$ quarks. We compute the phase shifts and search for $S$ and $T$ matrix poles in the second Riemann sheet. We predict a new tetraquark resonance for $l=1$, decaying into two $B$ mesons, with quantum numbers $I(J^P)=0(1^{-})$, mass $m=10576_{-4}^{+4}\text{MeV}$ and decay width $\mathrm{\Gamma }=112_{-103}^{+90}\text{MeV}$.