Tetraquark resonances computed with static lattice QCD potentials and scattering theory

¹ CFTP, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
² Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany

^* Speaker, e-mail: bicudo@tecnico.ulisboa.pt

Published online: 26 March 2018

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(J^P) = 0(1⁻), mass $m={10576}_{-4}^{+4}$ MeV and decay width $\Gamma ={112}_{-103}^{+90}$ MeV.