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We explore the possibility of experimentally detecting a predicted $h_1~[I^G(J^{PC})=0^-(1^{+-})]$ state of hidden charm made out from the $D^* \barD^*$ interaction. The method consists in measuring the decay of X(4660) into$\eta D^* \bar D^*$, determining the binding energy with respect to the $D^*\bar D^*$ threshold from the shape of the $D^* \bar D^*$ invariant massdistribution. A complementary method consists in looking at the inclusive$X(4660) \to \eta X$ decay, searching for a peak in the $X$ invariant massdistribution given by the missing X(4660), $\eta$ mass. We make calculations todetermine the partial decay width of $X(4660) \to \eta h_1$ from the measured$X(4660) \to \eta D^* \bar D^*$ distribution. This estimation should serve inan experiment to foresee the possibility of detecting the $h_1$ state on top ofthe background of inclusive events.

Searching for a hidden charm $h_1$ state in the $X(4660) \to \eta h_1$ and $X(4660) \to \eta D^* \bar D^*$ decays