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.
@article{arxiv.1210.1953,
title = {Tetraquark bound states in the heavy-light heavy-light system},
author = {Zachary S. Brown and Kostas Orginos},
journal= {arXiv preprint arXiv:1210.1953},
year = {2013}
}