Measurements of $e^{+}{e}^{-}\to {\eta }_{\mathrm{c}}{\pi }^{+}{\pi }^{-}{\pi }^0$, ${\eta }_{\mathrm{c}}{\pi }^{+}{\pi }^{-}$ and ${\eta }_{\mathrm{c}}{\pi }^0\gamma$ at $\sqrt{s}$ from 4.18 to 4.60\,GeV, and search for a $Z_{\mathrm{c}}$ state close to the $D\bar{D}$ threshold decaying to ${\eta }_{\mathrm{c}}\pi$ at $\sqrt{s}$ = 4.23 GeV

Abstract

We study ${\eta }_{\mathrm{c}}$ production at center-of-mass energies $\sqrt{s}$ from 4.18 to 4.60 GeV in $e^{+}{e}^{-}$ annihilation data collected with the BESIII detector operating at the BEPCII storage ring, corresponding to 7.3 fb${}^{-1}$ of integrated luminosity. We measure the cross sections of the three different exclusive reactions $e^{+}{e}^{-}\to {\eta }_{\mathrm{c}}{\pi }^{+}{\pi }^{-}{\pi }^0$, $e^{+}{e}^{-}\to {\eta }_{\mathrm{c}}{\pi }^{+}{\pi }^{-}$, and $e^{+}{e}^{-}\to {\eta }_{\mathrm{c}}{\pi }^0\gamma$. We find significant ${\eta }_{\mathrm{c}}$ production in $e^{+}{e}^{-}\to {\eta }_{\mathrm{c}}{\pi }^{+}{\pi }^{-}{\pi }^0$ at $\sqrt{s}$ of 4.23 GeV and 4.26 GeV and observe a significant energy-dependent Born cross section that we measure to be consistent with the production via the intermediate $Y(4260)$ resonance. In addition, we perform a search for a charmonium-like $Z_{\mathrm{c}}$ state close to the $D\bar{D}$ threshold that decays to ${\eta }_{\mathrm{c}}\pi$, involving ground state charmonium, and observe no signal. Corresponding upper limits on the cross section of ${\eta }_{\mathrm{c}}$ and $Z_{\mathrm{c}}$ production are provided, where the yields are not found to be significant.

19 pages, 9 figures, accepted for publication in PRD

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