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We propose to study the open charm effects in $e^+ e^-\to J/\psi\eta$,$J/\psi\pi^0$ and $\phi\eta_c$. We show that the exclusive cross sectionlineshapes of these processes would be strongly affected by the open charmeffects. Since the final state light meson productions are through soft gluonradiations, we assume a recognition of this soft process via charmed mesonloops at hadronic level. A unique feature among these three reactions is thatthe $D\bar{D^*}+c.c.$ open channel is located in a relatively isolated energy,i.e. $\sim 3.876$ GeV, which is sufficiently far away from the known charmonia$\psi(3770)$ and $\psi(4040)$. Therefore, the cross section lineshapes of thesereactions may provide an opportunity for singling out the open charm effectswith relatively well-defined charmonium contributions. In particular, we findthat reaction $e^+ e^-\to J/\psi\pi^0$ is sensitive to the open charm$D\bar{D^*}+c.c.$ Due to the dominance of the isospin-0 component at thecharmonium energy region, we predict an enhanced model-independent cusp effectbetween the thresholds of $D^0\bar{D}^0+c.c.$ and $D^+ D^{*-}+c.c.$ This studycan also help us to understand the X(3900) enhancement recently observed byBelle Collaboration in $e^+ e^-\to D\bar{D}+c.c.$

Open charm effects in $e^+e^-\to J/\psi \eta$, $J/\psi \pi^0$ and $\phi\eta_c$