Y(4260) and Y(4360) as mixed hadrocharmonium

Abstract

Recent BESIII data indicate a significant rate of the process $e^{+}{e}^{-}\to h_c{\pi }^{+}{\pi }^{-}$ at the Y(4260) and Y(4360) resonances, implying a substantial breaking of the heavy quark spin symmetry. We consider these resonances within the picture of hadrocharmonium, i.e. of (relatively) compact charmonium embedded in a light quark mesonic excitation. We suggest that the resonances Y(4260) and Y(4360) are a mixture, with mixing close to maximal, of two states of hadrochamonium, one containing a spin-triplet $c\bar{c}$ pair and the other containing a spin-singlet heavy quark pair. We argue that this model is in a reasonable agreement with the available data and produces distinctive and verifiable predictions for the energy dependence of the production rate in $e^{+}{e}^{-}$ annihilation of the final states $J/\psi \pi \pi$, ${\psi }^{\prime }\pi \pi$ and $h_c\pi \pi$, including the pattern of interference between the two resonances.

9 pages, 2 figures. Note added including a comparison of our model with the new BESIII data which became available after the initial version of our paper

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