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

TL;DR

This paper uses exact Faddeev equations to predict a unique, deeply-bound three $B$-meson state, $T_{bbb}$, which is more stable than previously predicted tetraquark states, indicating a new form of exotic matter.

Contribution

It provides the first exact calculation demonstrating the existence of a three $B$-meson bound state, expanding understanding of multiquark systems beyond tetraquarks.

Findings

Identifies a $T_{bbb}$ state about 90 MeV below three $B$-meson threshold.

Demonstrates the stability of a three-meson bound state using Faddeev equations.

Predicts a new exotic state with specific quantum numbers $(I)J^P=(1/2)2^-$.

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, $T_{bb}$.