Asymptotic behavior of the pion electromagnetic form factor in a scale-invariant quark model

Consistent relativistic approach is proposed to the investigation of asymptotic behaviour of form-factor of a system composed of two spinor particles, interacting with the vector or (pseudo) scalar neutral field. It is shown that the assumption of finite and small asymptotical value of the quark-gluon interaction invariant charge $(g_0^2\ll 1)$ leads to the “quark counting rules” in the parton region $(g_0^2\, \ln\, (-q^2)\ll 1)$ and to thereaking of these rules at greater $-q^2$ values.