Radiative Decays Of The Charmed Mesons In A Modified Relativisitic Quark Model

A large number of new charmed mesons have been observed in experiments in the past decades.Nowadays,Large Hadron Collider and Super KEKB collider have higher energy and luminosity particle beams,which means that higher excited charmed mesons could be observed.In this background,the theoretical study of the properties of charmed mesons is of great significance to categorize new meson states in the spectroscopy.The Godfrey-Isgur model（GI model）has achieved great success in describing the ground state spectroscopy of charmed mesons.For higher excited states,because the excitation of quark and antiquark pairs in vacuum shields the color charge,the meson confinement potential is no longer linear over a long distance.The GI model adopts linear potential,which leads to a deviation between the theoretical calculation results of highly excited meson spectra and the experimental values.By introducing the screening effect into the potential and modifying the linear potential of the GI model,a better result can be obtained to describe the charm meson spectrum of highly excited states.In the present work,we estimate the radiative decays of the charmed mesons in a modified relativistic quark model（screened potential model）.The branching ratios of some channels such as:D₂⁰（1³ P₂）→D^*0（1³ S₁）γ,D₃⁰（1D₃）→D₂⁰（1³ P₂）γ,D₂⁰（2D’₂）→D₁⁰（2P₁）γ,D₃⁰（2³ D₃）→D₂⁰（2³ P₂）γand D^*0（1³ S₁）→D⁰（1¹ S₀）γare estimated to be of order of 10^-2,which are sizable to be detected experimentally.Moreover,the branching ratios of some channels,for example,D₁⁰（1 P₁）→D（1¹ S₀）⁰γ,D⁰（3¹S ₀）→D’₁⁰（2P’）γand D⁰（3³ S₁）→D₂⁰（2³ P₂）γare estimated to be of order 10^-3,which may be accessible with the accumulation of data in future experiments.