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

TL;DR

This paper uses lattice QCD potentials to analyze bottomonium resonances decaying into heavy-light meson pairs, solving coupled channel equations to compute phase shifts and T matrix poles, and compares results with experimental data.

Contribution

It introduces a novel lattice QCD based method to study bottomonium resonances and their decay channels through coupled channel Schrödinger equations.

Findings

Computed phase shifts and T matrix poles for bottomonium states.

Identified theoretical counterparts for experimental resonances like $53$ and $860$.

Analyzed multiple wave states (S, P, D, F) in the context of experimental results.

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 Schr\"odinger equation with a confined quarkonium channel and channels with a heavy-light meson pair to compute phase shifts and $\mbox{T}$ 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 $\Upsilon(10753)$ and $\Upsilon(10860)$.