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

Abstract

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 $D^{\ast }{\bar{D}}^{\ast }$ interaction. The method consists in measuring the decay of X(4660) into $\eta D^{\ast }{\bar{D}}^{\ast }$, determining the binding energy with respect to the $D^{\ast }{\bar{D}}^{\ast }$ threshold from the shape of the $D^{\ast }{\bar{D}}^{\ast }$ invariant mass distribution. A complementary method consists in looking at the inclusive $X(4660)\to \eta X$ decay, searching for a peak in the $X$ invariant mass distribution given by the missing X(4660), $\eta$ mass. We make calculations to determine the partial decay width of $X(4660)\to \eta h_1$ from the measured $X(4660)\to \eta D^{\ast }{\bar{D}}^{\ast }$ distribution. This estimation should serve in an experiment to foresee the possibility of detecting the $h_1$ state on top of the background of inclusive events.

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Cited by in corpus (2)

• Effects of a $N^{\ast }$ resonance with hidden charm in the ${\pi }^{-}p\to D^{-}{\Sigma }_c^{+}$ reaction near threshold
• Signature of an $h_1$ state from $J/\psi \to \eta K^{\ast 0}{\bar{K}}^{\ast 0}$ and theoretical description of the $Z_c(3900)$ and $Z_c(4020)$ as $D{\bar{D}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ molecular states