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

Abstract

Abstract In this letter, we decode the newly observed charmoniumlike states, Y(4320) and Y(4390), by introducing interference effect between $$\psi (4160)$$ ψ(4160) and $$\psi (4415)$$ ψ(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 $$\psi (4160)$$ ψ(4160) and $$\psi (4415)$$ ψ(4415) are missing in the cross sections of $$e^+e^- \rightarrow \pi ^+ \pi ^- J/\psi $$ e+e-→π+π-J/ψ and $$\pi ^+ \pi ^- h_c$$ π+π-hc simultaneously. To well describe the detailed data of these cross sections around $$\sqrt{s}=4.2$$ 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 $$e^+e^- \rightarrow D^0 \pi ^+ D^{*-}$$ e+e-→D0π+D∗- , which provides an extra support to $$\psi (4S)$$ ψ(4S) assignment to Y(4220). In fact, this interference effect introduced to explain Y(4320) and Y(4390) gives a typical 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.