Heavy-light mesons spectrum from the nonperturbative QCD in the einbein field formalism

The spectrum of B and D mesons (including the low lying orbitally and radially excited states) is calculated using the quark–antiquark Hamiltonian derived from QCD in the einbein field formalism. Spin–spin and spin–orbit terms due to the confinement and OGE interactions are taken into account as perturbations. Results for the masses and splittings are confronted to the experimental and recent lattice data and are demonstrated to be in a reasonable agreement with both. We find that the orbital excitations with l=2 and l=3 for D meson lie approximately in the same region as its first radial excitation that might solve the mystery of the extremely narrow D(2637) state recently claimed by DELPHI Collaboration.