Abstract
In this exploratory lattice study, low-energy scattering of the $(D{\overline{D}}^{*}{)}^{\ifmmode\pm\else\textpm\fi{}}$ meson system is analyzed using lattice QCD with ${N}_{f}=2$ twisted mass fermion configurations with three pion mass values. The calculation is performed within single-channel L\"uscher's finite-size formalism. The threshold scattering parameters, namely the scattering length ${a}_{0}$ and the effective range ${r}_{0}$, for the $s$-wave scattering in ${J}^{P}={1}^{+}$ channel are extracted. For the cases in our study, the interaction between the two charmed mesons is weakly repulsive. Our lattice results therefore do not support the possibility of a shallow bound state for the two mesons for the pion mass values we studied. This calculation provides some useful information on the nature of the newly discovered resonance-like structure ${Z}_{c}(3900)$ by various experimental groups.
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