Beauty-full Tetraquarks

TL;DR

This paper calculates the ground-state energy of the $bbar{b}ar{b}$ tetraquark using a diffusion Monte Carlo method, predicting a bound state around 18.69 GeV that could decay into four leptons.

Contribution

It introduces a non-relativistic diffusion Monte Carlo approach with a flux-tube potential to study the $bbar{b}ar{b}$ tetraquark, providing new mass predictions.

Findings

The $0^{++}$ tetraquark state has a mass of $18.69 ext{ GeV}$.

The state is about 100 MeV below twice the $ exteta_b$ mass.

It can decay into a four-lepton resonance.

Abstract

In this article we present a calculation of the $bb\bar{b}\bar{b}$ tetraquark ground-state energy using a diffusion Monte Carlo method to solve the non-relativistic many-body system. The static potential for the four quark system is chosen to align with the flux-tube picture of QCD. Using this approach, we find that the $0^{++}$ state has a mass of $18.69\pm 0.03~\mbox{GeV}$, which is around 100 MeV below twice the $\eta_b$ mass. This bound state can behave as a four-lepton resonance via its decay to $\Upsilon(1S) \Upsilon(1S)^* \rightarrow \ell^+ \ell^- \ell^+ \ell^-$.