Radiative decays of the neutral $Z_c(3900)$

Abstract

We study the radiative decays of the $Z_c(3900{)}^0$ in a hadronic molecule picture, where the $Z_c(3900)$ is treated as a $D{\bar{D}}^{\ast }+c.c$ hadronic molecule. The partial widths of $\Gamma (Z_c(3900{)}^0\to \gamma {\eta }_c(2S))$ and $\Gamma (Z_c(3900{)}^0\to \gamma {\chi }_{c0})$ are predicted to be of order 10 keV and the cross sections for $\sigma (e^{+}{e}^{-}\to {\pi }^0{Z}_c(3900)\to {\pi }^0\gamma {\eta }_c(2S))$ and $\sigma (e^{+}{e}^{-}\to {\pi }^0{Z}_c(3900)\to {\pi }^0\gamma {\chi }_{c0})$ are of order 0.1 pb at 4.23 GeV, which may be accessible for the BESIII and forthcoming BelleII.

Comments: 8 pages, 11 figures, Phys.Rev.D version