A novel explanation of charmonium-like structure in $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$

Abstract

We first present a non-resonant description to charmonium-like structure $Y(4360)$ in the $\psi (2S){\pi }^{+}{\pi }^{-}$ invariant mass spectrum of the $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$ process. The $Y(4360)$ structure is depicted well by the interference effect of the production amplitudes of $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$ via the intermediate charmonia $\psi (4160)/\psi (4415)$ and direct $e^{+}{e}^{-}$ annihilation into $\psi (2S){\pi }^{+}{\pi }^{-}$. This fact shows that $Y(4360)$ is not a genuine resonance, which naturally explains why $Y(4360)$ was only reported in its hidden-charm decay channel $\psi (2S){\pi }^{+}{\pi }^{-}$ and was not observed in the exclusive open-charm decay channel or $R$-value scan.

Comments: 4 pages, 1 table, 2 figures. Accepted for publication in Phys. Rev. D