Tetraquark resonances computed with static lattice QCD potentials and scattering theory

TL;DR

This paper uses lattice QCD potentials and scattering theory to predict a new tetraquark resonance with specific quantum numbers, mass, and decay width, providing insights into exotic hadron states.

Contribution

It introduces a novel approach combining lattice QCD potentials with scattering theory to predict tetraquark resonances, including a newly identified state with detailed properties.

Findings

Predicted a new tetraquark resonance at 10576 MeV.

Identified the resonance as decaying into two B mesons.

Provided decay width estimates with uncertainties.

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 $\mbox{S}$ and $\mbox{T}$ 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 $m = 10576_{-4}^{+4} \, \textrm{MeV}$ and decay width $\Gamma = 112_{-103}^{+90} \, \textrm{MeV}$.