Radiative decays of charmed mesons in a modified relativistic quark model

Abstract：

In this study, we perform systematic estimations of the radiative decays of the charmed mesons in a modified relativistic quark model. Our estimations indicate that the branching ratios of the processes of $ D_2^0(1^3P_2) \to D^{\ast 0}(1^3S_1) \gamma $ , $ D_3^0(1D_3) \to D_2^0(1^3P_2) \gamma $ , $ D_2^0(2D_2^\prime) \to D_1^{0}(2P_1) \gamma $ , $ D_3^0(2^3D_3) \to D_2^0(2^3P_2) \gamma $ , and $ D^{\ast 0}(1^3S_1) \to $ $ D^0(1^1S_0) \gamma $ are of the order of $ 10^{-2} $ , which are sizable to be detected experimentally. Moreover, the branching ratios of some channels, for example, $ D_1^0(1P_1) \to D(1^1S_0)^0 \gamma $ , $ D^0(3^1S_0) \to D_1^{\prime 0}(2P^\prime_{1}) \gamma $ , and $ D^0(3^3S_1) \to D_2^0(2^3P_2) \gamma $ , are estimated to be of the order of $ 10^{-3} $ , which may be accessible with the accumulation of data in future experiments.