Spectra of heavy-light mesons in a relativistic model

The spectra and wave functions of heavy-light mesons are calculated within a relativistic quark model which is based on a heavy-quark expansion of the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation. The kernel we choose is the standard combination of linear scalar and Coulombic vector. The effective Hamiltonian for heavy-light quark-antiquark system is calculated up to order 1/m_Q². Our results are in good agreement with available experimental data except for the anomalous D_s0^*(2317) and D_s1(2460) states. The newly observed heavy-light meson states can be accommodated successfully in the relativistic quark model with their assignments presented. The D_sJ^*(2860) can be interpreted as the vertical stroke 1^3/2D₁ right angle and vertical stroke 1^5/2D₃ right angle states being members of the 1D family with J^P = 1^- and 3^-. (orig.)