Study on the radiative decays of h_c via intermediate meson loops model

Abstract

Recently, the BESIII Collaboration reported two new decay processes: h_c(1P)rightarrow gamma eta and gamma eta ^prime . Inspired by this measurement, we propose to study the radiative decays of h_c via intermediate charmed meson loops in an effective Lagrangian approach. With the acceptable cutoff parameter range, the calculated branching ratios of h_c(1P)rightarrow gamma eta and gamma eta ^prime are of the orders of 10^{-4} to 10^{-3} and 10^{-3} to 10^{-2}, respectively. The ratio R_{h_c}= mathcal {B}( h_crightarrow gamma eta )/mathcal {B}( h_crightarrow gamma eta ^prime ) can reproduce the experimental measurements with the commonly acceptable alpha range. This ratio provide us with some information on the eta –eta ^prime mixing, which may be helpful for us to test the SU(3)-flavor symmetries in QCD.