# $u d \bar{b} \bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation

## TL;DR

This paper predicts a new tetraquark resonance with specific quantum numbers and decay properties using lattice QCD potentials and the Born-Oppenheimer approximation, expanding understanding of exotic hadron states.

## Contribution

It introduces a novel lattice QCD and Born-Oppenheimer approach to identify and characterize a tetraquark resonance with specific quantum numbers and decay width.

## Key findings

- Predicted a tetraquark resonance at 10576 MeV with a decay width of about 112 MeV.
- Identified a resonance with quantum numbers I(JP)=0(1-).
- Extended previous bound state predictions to include resonant states with angular momentum l=1.

## Abstract

We study tetraquark resonances with lattice QCD potentials computed for a static bbar bbar pair in the presence of two lighter quarks u d, 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 bbar bbar. For l=0 a bound state has already been predicted with quantum numbers I(JP) = 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(JP) = 0(1-), mass m = 10 \, 576^{+4}_{-4} MeV} and decay width Gamma = 112^{+90}_{-103} MeV.