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

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 $B^{(\ast )}{\bar{B}}^{(\ast )}$ and $B_s^{(\ast )}{\bar{B}}_s^{(\ast )}$ 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.

Comments: 9 pages, 3 figures, 1 table, poster presentation given at the 39th International Symposium on Lattice Field Theory (Lattice2022), 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany