Investigation of $B\bar B$ four-quark systems using lattice QCD

TL;DR

This study uses lattice QCD to compute potentials in $Bar B$ systems, assessing their ability to form bound states, especially focusing on the $Z_b^$ tetraquark candidate with specific quantum numbers.

Contribution

It introduces a lattice QCD approach to analyze $Bar B$ interactions and evaluates the potential for bound tetraquark states, particularly the $Z_b^$.

Findings

Potential calculations suggest possible bound states.

Analysis indicates the $Z_b^$ candidate may be explained as a $Bar B$ tetraquark.

Results provide insights into the nature of bottomonium-like tetraquarks.

Abstract

We investigate $B \bar B$ systems by computing potentials of two static quarks in the presence of two quarks of finite mass using lattice QCD. By solving the Schr\"odinger equation we check whether these potentials are sufficiently attractive to host bound states. Particular focus is put on the experimentally most promising bottomonium-like tetraquark candidate $Z_b^\pm$ with quantum numbers $I(J^P)=1(1^+)$.