Open charm effects in $e^{+}{e}^{-}\to J/\psi \eta$, $J/\psi {\pi }^0$ and $\varphi {\eta }_c$

Abstract

We propose to study the open charm effects in $e^{+}{e}^{-}\to J/\psi \eta$, $J/\psi {\pi }^0$ and $\varphi {\eta }_c$. We show that the exclusive cross section lineshapes of these processes would be strongly affected by the open charm effects. Since the final state light meson productions are through soft gluon radiations, we assume a recognition of this soft process via charmed meson loops at hadronic level. A unique feature among these three reactions is that the $D\overline{D^{\ast }}+c.c.$ 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 these reactions may provide an opportunity for singling out the open charm effects with relatively well-defined charmonium contributions. In particular, we find that reaction $e^{+}{e}^{-}\to J/\psi {\pi }^0$ is sensitive to the open charm $D\overline{D^{\ast }}+c.c.$ Due to the dominance of the isospin-0 component at the charmonium energy region, we predict an enhanced model-independent cusp effect between the thresholds of $D^0{\bar{D}}^0+c.c.$ and $D^{+}{D}^{\ast -}+c.c.$ This study can also help us to understand the X(3900) enhancement recently observed by Belle Collaboration in $e^{+}{e}^{-}\to D\bar{D}+c.c.$

Revised version to appear in PRD; An error corrected; Slight changes to the numerical results; Conclusion intact

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• J/psi absorption by nucleons in the meson-exchange model
• Study of isospin violating $\varphi$ excitation in $e^{+}{e}^{-}\to \omega {\pi }^0$
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Cited by in corpus (17)

• Hadronic molecules
• Confirming the molecular nature of the $Z_b(10610)$ and the $Z_b(10650)$
• Observation of ψ(4040) and ψ(4160) decay into ηJ/ψ
• Measurement of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section and search for $e^{+}{e}^{-}\to {\pi }^{0}J/\psi$ at center-of-mass energies between 3.810 and 4.600~GeV
• Observation of the $Y(4220)$ and $Y(4360)$ in the process $e^{+}{e}^{-}\to \eta J/\psi$
• Further understanding of the non-$D\bar{D}$ decays of $\psi (3770)$
• Observation of $e^{+}{e}^{-}\to {\eta }^{\prime }J/\psi$ at center-of-mass energies between 4.189 and 4.600 GeV
• Effective Field Theory calculations of $NN\to NN\pi$
• η transitions between charmonia with meson loop contributions
• Probing the nature of $Y(4260)$ and $Z_c(3900)$ in the isospin violating process $Y(4260)\to J/\psi \eta {\pi }^0$
• $P$-wave coupled channel effects in electron-positron annihilation
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Combined study of the isospin-violating decay $D_s^{\ast }\to D_s{\pi }^0$ and radiative decay $D_s^{\ast }\to D_s\gamma$ with intermediate meson loops
• Measurements of charmonia decays from BESIII
• Observation of the first iso-spin Charmonium-like State $Z_c(4020)$ }
• Open charm scenarios