Tbbb: A three B-meson bound state

H Garcilazo,A Valcarce

doi:10.1016/j.physletb.2018.07.055

H Garcilazo, A Valcarce

Open Access

https://doi.org/10.1016/j.physletb.2018.07.055

Copy DOI

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)JP=(1/2)2−, Tbbb, is about 90 MeV below any possible three B-meson threshold for the reported binding of the doubly bottom axial vector tetraquark, Tbb.

Highlights

There is a broad theoretical consensus about the existence of a deeply-bound doubly bottom tetraquark with quantum numbers (i)jp = (0)1+ strong- and electromagneticinteraction stable [1,2,3,4,5,6,7,8,9,10]
Our aim in this work is to solve exactly the Faddeev equations for the three-meson bound state problem using as input the two-body t−matrices of Refs. [5, 18,19,20], driving to the axial vector bbudbound state, Tbb, as an involved coupled-channel system made of pseudoscalar-vector and vector-vector two B-meson components
The blue solid lines stand for the different three B-meson strong decay thresholds of the BB∗B∗ − B∗B∗B∗ system with quantum numbers (I)JP = (1/2)2−, that we have denoted by Tbbb

Summary

Introduction

1 The binding energy for the axial vector doubly bottom tetraquark reported in Refs. Our aim in this work is to solve exactly the Faddeev equations for the three-meson bound state problem using as input the two-body t−matrices of Refs. [5, 18,19,20], driving to the axial vector bbudbound state, Tbb, as an involved coupled-channel system made of pseudoscalar-vector and vector-vector two B-meson components.

Results

Conclusion