Tetraquark bound states in the heavy-light heavy-light system

TL;DR

This study uses lattice QCD to calculate interaction potentials of heavy-light mesons, exploring the existence of tetraquark bound states through a novel computational approach and potential modeling.

Contribution

It introduces a new method using colorwave propagators for better overlap and noise reduction in lattice QCD calculations of tetraquark systems.

Findings

Potential analysis suggests possible bound states in certain channels.

The method improves the accuracy of potential extraction in lattice QCD.

Numerical solutions indicate the conditions under which tetraquark states may exist.

Abstract

A calculation of the interaction potential of two heavy-light mesons in lattice QCD is used to study the existence of tetraquark bound states. The interaction potential of the tetraquark system is calculated on the lattice with 2+1 flavours of dynamical fermions with lattice interpolating fields constructed using colorwave propagators. These propagators provide a new method for constructing all-to-all spatially smeared the interpolating fields, a technique which allows for a better overlap with the ground state wavefunction as well as reduced statistical noise. Potentials are extracted for 24 distinct channels, and are fit with a phenomenological non-relativistic quark model potential, from which a determination of the existence of bound states is made via numerical solution of the two body radial Schr\"odinger equation.