Low-energy scattering of the (D(D)over-bar*)± system and the resonance-like structure Zc(3900)

In this exploratory lattice study, low-energy scattering of the (DD*)(+/-) 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 Luscher'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.