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

Understand

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 not genuine resonances, according to which we can naturally explain why two well-established charmonia $\psi(4160)$ and $\psi(4415)$ are missing in the cross sections of $e^+e^- \to \pi^+ \pi^- J/\psi$ and $\pi^+ \pi^- h_c$ simultaneously.
• To well describe the detailed data of these cross sections around $\sqrt{s}=4.2$ GeV, our study further illustrates that a charmoniumlike structure $Y(4220)$ must be introduced.
• As a charmonium, $Y(4220)$ should dominantly decay into its open-charm channel $e^+e^- \to D^0 \pi^+ D^{\ast-}$, which provides an extra support to $\psi(4S)$ assignment to $Y(4220)$.