Study of $I=0$ bottomonium bound states and resonances based on lattice QCD static potentials

TL;DR

This study uses lattice QCD static potentials to analyze $I=0$ bottomonium states and resonances across multiple waves, identifying their masses, decay widths, and internal structure to distinguish between quarkonium and tetraquark configurations.

Contribution

It introduces a lattice QCD based approach combining coupled-channel analysis and the Born-Oppenheimer approximation to characterize bottomonium states and their compositions.

Findings

Calculated masses and decay widths for bottomonium states.

Identified the quarkonium or tetraquark nature of states.

Compared results with experimental data.

Abstract

We investigate $I = 0$ bottomonium bound states and resonances in S, P, D and F waves using lattice QCD static-static-light-light potentials. We consider five coupled channels, one confined quarkonium and four open $B^{(*)}\bar{B}^{(*)}$ and $B^{(*)}_s\bar{B}^{(*)}_s$ meson-meson channels and use the Born-Oppenheimer approximation and the emergent wave method to compute poles of the T matrix. We discuss results for masses and decay widths and compare them to existing experimental results. Moreover, we determine the quarkonium and meson-meson composition of these states to clarify, whether they are ordinary quarkonium or should rather be interpreted as tetraquarks.