Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model

The masses of the ground, orbitally and radially excited states of heavy-light mesons are calculated within the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. Both light (q = u, d, s) and heavy (Q = c, b) quarks are treated fully relativistically without application of the heavy-quark 1/m(Q) expansion. The Regge trajectories in the (M-2, J) and (M-2, n(r)) planes are investigated and their parameters are obtained. The results are in good agreement with available experimental data except for the masses of the anomalous D-s0*(2317), D-s1(2460) and D-sJ* (2860) states.