udb̄b̄ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation

We study tetraquark resonances with lattice QCD potentials computed for a static b̄b̄ pair in the presence of two lighter quarks ud, 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 b̄b̄. For l = 0 a bound state has already been predicted with quantum numbers I(J ) = 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(J ) = 0(1−), mass m = 10 576 −4 MeV and decay width Γ = 112 +90 −103 MeV.