Bottomonium resonances from lattice QCD static-static-light-light potentials

Abstract
We study $I=0$ quarkonium resonances decaying into pairs of heavy-light mesons using static-static-light-light potentials from lattice QCD. To achieve this, we solve a coupled channel Schr\”odinger equation with a confined quarkonium channel and channels with a heavy-light meson pair to compute phase shifts and the poles for the lightest decay channel. We discuss our results for $S$, $P$, $D$ and $F$ wave states in the context of corresponding experimental results, in particular for $\Upsilon(10753)$ and $\Upsilon(10860)$.