Bottomonium resonances with I=0 from lattice QCD correlation functions with static and light quarks

Abstract

We discuss how to study I=0 quarkonium resonances decaying into pairs of heavy-light mesons using static potentials from lattice QCD. These static potentials can be obtained from a set of correlation functions containing both static and light quarks. As a proof of concept, we focus on bottomonium with relative orbital angular momentum LQQ=0 of the bb pair corresponding to JPC=0-+ and JPC=1 - . We use static potentials from an existing lattice QCD string breaking study and compute phase shifts and T matrix poles for the lightest heavy-light meson-meson decay channel. We discuss our results in the context of corresponding experimental results, in particular for (10860) and (11020).