Decays of $D_{sj}^{\ast }(2317)$ and $D_{sj}(2460)$ Mesons in the Quark Model

We study the decay widths of the narrow resonances $D_{sj}^{\ast }(2317)$ and $D_{sj}(2460)$ in the chiral quark model, together with the well-known $D^{\ast }$ and $D_s^{\ast }$ mesons. All the parameters in our calculation are taken from Godfrey and Isgur’s quark model except the ${\pi }^0-\eta$ mixing angle which is fixed by the $D_s^{\ast }$ decay widths. The calculated electromagnetic decay widths agree with those from other groups and the experimental data available quite well. However, the pionic decay widths of $D_{sj}(2317)$ and $D_{sj}(2460)$ are too small to fit the experimental data. We suspect that the simple chiral quark pion axial-vector interaction Hamiltonian is not suitable for hadron strong decays of $D_{sj}(2317)$ and $D_{sj}(2460)$.