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 this end, we solve a coupled channel Schrödinger equation with a confined quarkonium channel and channels with a heavy-light meson pair to compute phase shifts and $\text{mbox}T$ matrix 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 ${\rm Y}(10753)$ and ${\rm Y}(10860)$.

Comments: 9 pages, 2 figures, talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology, removed $k$ and $k_s$ prefactors in the Schroedinger equations (6) and (13) and in the boundary conditions (10) and (11)