$\bar{b}\bar{b}ud$ tetraquark resonances in the Born-Oppenheimer approximation using lattice QCD potentials

Abstract

We study tetraquark resonances using lattice QCD potentials for a pair of static antiquarks $\bar{b}\bar{b}$ in the presence of two light quarks $ud$. 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 consider different orbital angular momenta $l$ of the heavy antiquarks $\bar{b}\bar{b}$. We extract the phase shifts and search for $\text{mbox}S$ and $\text{mbox}T$ matrix poles on the second Riemann sheet. For orbital angular momentum $l=1$ we find a tetraquark resonance with quantum numbers $I(J^P)=0(1^{-})$, resonance mass $m=10576_{-4}^{+4}\text{MeV}$ and decay width $\Gamma =112_{-103}^{+90}\text{MeV}$, which can decay into two $B$ mesons.

Comments: 8 pages, 7 figures, Talk given at the XIIIth Quark Confinement and the Hadron Spectrum (Confinement 2018), 31 July - 6 August 2018, Maynooth, Ireland