Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD

TL;DR

This study uses lattice QCD to investigate the existence of bound states in heavy-light tetraquark systems with bottom and charm quarks, providing insights into their possible stability and spectrum.

Contribution

It introduces a lattice QCD approach with multiple ensembles and interpolators to analyze heavy-light tetraquark states, including a Lüscher analysis for volume extrapolation.

Findings

Identification of potential bound states in heavy-light tetraquark channels.

Quantitative energy spectra for $ar{b}ar{b}ud$, $ar{b}ar{b}us$, and $ar{b}ar{c}ud$ systems.

Insights into the volume dependence of tetraquark energy levels.

Abstract

We search for possibly existent bound states in the heavy-light tetraquark channels with quark content $ \bar{b}\bar{b}ud $, $ \bar{b}\bar{b}us $ and $ \bar{b}\bar{c}ud $ using lattice QCD. We carry out calculations on several gauge link ensembles with $ N_f=2+1 $ flavours of domain-wall fermions and consider a basis of local and non-local interpolators. Besides extracting the energy spectrum from the correlation matrices, we also perform a L\"uscher analysis to extrapolate our results to infinite volume.