Excited state mass spectra, Decay properties and Regge trajectories of charm and charm-strange mesons

The framework of phenomenological quark-antiquark potential (Coulomb plus linear confinement) model with the Gaussian wave function is used for detailed study of masses of the ground, orbitally and radially excited states of heavy-light $Q\overline{q}$, $\left(Q=c,q=u/d,s\right)$ mesons. We incorporate $\mathcal{O}(1/m)$ correction to the potential energy term and relativistic corrections to the kinetic energy term of the hamiltonian. The spin-hyperfine, the spin-orbit and the tensor interactions incorporating the effect of mixing are employed to obtained the pseudoscalar, the vector, radially and orbitally excited states meson masses. The Regge trajectories in the $(J,M^{2})$ and $(n_r,M^{2})$ planes for heavy-light meson are investigated with their corresponding parameters. Leptonic and radiative leptonic decay widths and corresponding branching ratios are computed. The mixing parameters are also estimated in the present work. Our predictions are in good agreement with experimental results as well as lattice and other theoretical models.