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We study here the interaction of $D \bar D^*$ in the isospin $I=1$ channel inthe light of recent theoretical advances that allow to combine elements of thelocal hidden gauge approach with heavy quark spin symmetry. We find that theexchange of light $q \bar q$ is OZI suppressed and, thus, we concentrate on theexchange of heavy vectors and of two pion exchange. The latter is found to besmall compared to the exchange of heavy vectors, which then determines thestrength of the interaction. A barely $D\bar{D}^*$ bound state decaying into$\eta_c\rho$ and $\pi J/\psi$ is found. At the same time we reanalyze the dataof the BESIII experiment on $e^+ e^- \to \pi^{\pm} (D \bar D^*)^\mp$, fromwhere a $Z_c(3885)$ state was claimed, associated to a peak in the $(D \barD^*)^\mp$ invariant mass distribution close to threshold, and we find the datacompatible with a resonance with mass around $3875$ MeV and width around $30$MeV. We discuss the possibility that this and the $Z_c(3900)$ state found atBESIII, reconfirmed at 3896 MeV at Belle, or 3885 MeV at CLEO, could all be thesame state and correspond to the one that we find theoretically.

Prediction of an $I=1$ $D \bar D^*$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$