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In this letter, we decode the newly observed charmoniumlike states, $Y(4320)$and $Y(4390)$, by introducing interference effect between $\psi(4160)$ and$\psi(4415)$, which plays a role of resonance killer for $Y(4320)$ and$Y(4390)$. It means that two newly reported charmoniumlike states are notgenuine resonances, according to which we can naturally explain why twowell-established charmonia $\psi(4160)$ and $\psi(4415)$ are missing in thecross sections of $e^+e^- \to \pi^+ \pi^- J/\psi$ and $\pi^+ \pi^- h_c$simultaneously. To well describe the detailed data of these cross sectionsaround $\sqrt{s}=4.2$ GeV, our study further illustrates that a charmoniumlikestructure $Y(4220)$ must be introduced. As a charmonium, $Y(4220)$ shoulddominantly decay into its open-charm channel $e^+e^- \to D^0 \pi^+ D^{\ast-}$,which provides an extra support to $\psi(4S)$ assignment to $Y(4220)$. In fact,this interference effect introduced to explain $Y(4320)$ and $Y(4390)$ gives atypical example of non-resonant explanations to the observed $XYZ$ states,which should be paid more attention especially before identifying the observed$XYZ$ states as genuine resonances.

Interference effect as resonance killer of newly observed charmoniumlike states $Y(4320)$ and $Y(4390)$