Eb. Berdnikov et al., THE RELATIVISTIC THEORY FOR PRINCIPAL TRAJECTORIES AND ELECTROMAGNETIC-TRANSITIONS OF LIGHT MESONS .1., International journal of modern physics A, 8(14), 1993, pp. 2447-2464
Relativistic theory for the family of the principal meson trajectories
was constructed. In the framework of relativistic quantum mechanics t
he coordinates of quarks should be noncomutative, which leads to a set
of consistency conditions. Exploiting the geometrical basis of our mo
del, we have obtained relativistic analogs of orbital and spin momenta
and construct the gauge-invariant coordinates of physical particles.
It makes possible to introduce the interaction terms in a simple geome
trical way.