Abstract
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(JP) = 0(1−), mass [see formula in PDF] MeV and decay width [see formula in PDF] MeV.
Highlights
A long standing problem in QCD is to understand exotic hadrons
The existence of bound states has been extensively investigated in the recent past by combining static lattice QCD potentials and the Born-Oppenheimer approximation
Most promising with respect to the existence of stable tetraquarks or tetraquark resonances are light quarks q ∈ {u, d} together with (I = 0, j = 0) or (I = 1, j = 1), where I denotes isospin and j light total angular momentum
Summary
A long standing problem in QCD is to understand exotic hadrons. In this work we specialize in tetraquark systems with two heavy antiquarks bband two lighter quarks qq, where q ∈ {u, d, s, c}. The existence of bound states has been extensively investigated in the recent past by combining static lattice QCD potentials and the Born-Oppenheimer approximation. In a first step we have computed potentials V(r) of two static antiquarks Q Qin the presence of two lighter quarks qq, where q ∈ {u, d, s, c}, using lattice QCD [2, 4]. There are both attractive and repulsive channels. The lattice QCD results for the potentials can be parametrized by a screened Coulomb potential, V(r) = − α e−r2/d2. [5, 7,8,9]) or for resonances (cf. sections 3 and 4 )
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