Speaker
Description
We present an investigation of the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc \bar qq$ $J^{PC}=1^{+\pm}$ states with isospin 1. Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e. g. the $Z_c$ mesons with isospin 1. A lattice study of a four-quark system with two different total momenta and on two different lattice sizes is made. We extract the energy levels, use Lüscher's formalism, and determine the scattering length for the $D\bar D^*$ scattering close to the threshold. A comparison to results from the phenomenological approaches is made, and the constraints on the scattering length are given.