  Based on the numeric solution of a system of coupled channels for vector
mesons ($S$- and $D$-waves mixing) and for tensor mesons ($P$- and $F$-waves
mixing) mass spectrum and wave functions of a family of vector mesons
$q\bar{q}$ in triplet states are obtained. The calculations are performed using
a well known Cornell potential with a mixed Lorentz-structure of the
confinement term. The spin-dependent part of the potential is taken from the
Breit-Fermi approach. The effect of singular terms of potential is considered
in the framework of the perturbation theory and by a configuration interaction
approach (CIA), modified for a system of coupled equations. It is shown that
even a small contribution of the $D$-wave to be very important at the
calculation of certain characteristics of the meson states.
