B¯ bud ¯ Tetraquark Resonances in the Born-Oppenheimer Approximation using Lattice QCD Potentials

Abstract

We study tetraquark resonances for a pair of static antiquarks b¯ b¯ in presence of two light quarks ud based on lattice QCD potentials. 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 take different angular momenta l of the heavy antiquarks b¯ b¯ into account. Further calculations have already predicted a bound state for the l = 0 case with quantum numbers I(JP) = 0(1+). Performing computations for several angular momenta, we extract the phase shifts and search for T and S matrix poles in the second Riemann sheet. For angular momentum l = 1, we predict a tetraquark resonance with quantum numbers I(JP) = 0(1−), resonance mass m = 10576+−44 MeV and decay width Γ = 112+−90103 MeV, which decays into two B mesons.