Computation of the quarkonium and meson-meson composition of the Υ(nS) states and of the new Υ(10753) Belle resonance from lattice QCD static potentials

We compute the composition of the bottomonium Upsilon(nS) states [including Upsilon(10860)] and the new Upsilon(10753) resonance reported by Belle in terms of quarkonium and meson-meson components. We use a recently developed novel approach utilizing lattice QCD string breaking potentials for the study of resonances. This approach is based on the diabatic extension of the Born-Oppenheimer approximation and the unitary emergent wave method and allows us to compute the poles of the S matrix. We focus on I = 0 bottomonium S wave bound states and resonances, where the Schrodinger equation is a set of coupled differential equations. One of the channels corresponds to a confined heavy quark-antiquark pair (b) over barb, and the others correspond to pairs of heavy-light mesons. In a previous study, only one meson-meson channel (B) over bar (()*B-)(()*()) was considered. Now, we also include the closed strangeness channel (B) over bar (()(s)*B-)(s)(*()), extending our formalism significantly to have a more realistic description of bottomonium. We confirm the new Belle resonance Upsilon(10753) as a dynamical meson-meson resonance with around 76% meson-meson content. Moreover, we identify Upsilon(4S) and Upsilon(10860) as states with both sizable quarkonium and meson-meson contents. With these results, we contribute to the clarification of ongoing controversies in the vector bottomonium spectrum.

Automated summary

The study computes the composition of bottomonium states and the new Upsilon(10753) resonance, identifying the latter as a meson-meson resonance with 76% meson-meson content. By including closed strangeness channels, the formalism for describing bottomonium is significantly extended. The results contribute to clarifying controversies in the vector bottomonium spectrum.