Hadronic loop effects on the radiative decays of the first radial excitations of $\eta$ and ${\eta }^{\prime }$

Yin Cheng, Qiang Zhao

Based on the one state assumption of $\eta (1405)$ and $\eta (1475)$, thus, $\eta (1295)$ and $\eta (1405/1475)$ are organized as the first radial excitations of $\eta$ and ${\eta }^{\prime }$, respectively, we inv…