$T_{bbb}$: a three $B-$meson bound state

Abstract

By solving exactly the Faddeev equations for the bound-state problem of three mesons, we demonstrate that current theoretical predictions pointing to the existence of a deeply-bound doubly bottom axial vector tetraquark lead to the existence of a unique bound state of three B mesons.We find that the BB * B * − B * B * B * state with quantum numbers (I)J P = (1/2)2 − , T bbb , is about 90 MeV below any possible three B-meson threshold for the reported binding of the doubly bottom axial vector tetraquark, T bb .