Charmed-Meson Scattering in lattice QCD

The interaction of $D_{1}$ and $D*$ mesons is studied in lattice QCD aiming at obtaining some hint on the nature of the $Z$(4430). Our calculation is done using the Wilson fermion on a quenched $24^3\times 48$ lattice. We calculate the correlation functions of $D_{1}$ and $D*$ mesons and obtain the energy in a finite box, from which we extract the scattering length of $D_{1}$ and $D*$ mesons by means of L\"uscher's formula.