Spectrum of Higher excitations of $B$ and $D$ mesons in the relativistic potential model

Abstract

We study the masses and wave functions of heavy-light quark-antiquark system in the relativistic potential model, where we focus on the higher excited states of $B$ and $D$ mesons. The resonances of $D_J(2740)$, $D_J^*(2760)$, $D_J^*(3000)$ and $D_{sJ}^*(2860)$ recently observed in experiments are considered. We find that the four resonances can be identified as the $|1^{1,3}D_2\rangle$, $|1^3D_3\rangle$, $|1^{1,3}F_3\rangle$ and $|1^3D_3\rangle$ states due to the prediction to the states with $l=2$ and $l=3$ in the potential-model calculation. The masses of $n=2$ excited states are also calculated. All the observed mesons can be accommodated successfully in the potential model.