Low-energy scattering of D∗ and D1 meson are studied using quenched lattice QCD with improved lattice actions on anisotropic lattices. The calculation is performed within L\"uscher's finite-size formalism which establishes the relation between the scattering phase in the infinite volume and the exact energy level in the finite volume. The threshold scattering parameters, namely the scattering length a0 and the effective range r0, for the s-wave scattering in JP=0− channel are extracted. After the chiral and continuum extrapolations, we obtain: a0=2.52(47)fm and r0=0.7(1)fm where the errors are purely statistical. Based on these results, we discuss the possibility of a shallow bound state for the two charmed mesons within the non-relativistic potential scattering model. It is argued that, albeit the interaction between the two charmed mesons being attractive, it is unlikely that they can form a shallow bound state in this channel. This calculation provides some useful information on the nature of the newly discovered resonance-like structure Z+(4430) by the Belle Collaboration.
@article{arxiv.0905.0752,
title = {Low-energy $D^{*+}D^0_1$ Scattering and the Resonance-like Structure $Z^+(4430)$},
author = {Guo-Zhan Meng and Ming Gong and Ying Chen and Song He and Gang Li and Chuan Liu and Yu-Bin Liu and Jian-Ping Ma and Xiang-Fei Meng and Zhi-Yuan Niu and Yan Shen and Jian-Bo Zhang and Yuan-Jiang Zhang},
journal= {arXiv preprint arXiv:0905.0752},
year = {2010}
}