  We present a simple direct method for calculating Regge trajectories for a
multichannel scattering problem. The approach is applied to the case of two
coupled Thomas-Fermi type potentials, used as a crude model for electron-atom
scattering below the second excitation threshold. It is shown that
non-adiabatic interaction may cause formation of loops in Regge trajectories.
The accuracy of the method is tested by evaluating resonance contributions to
elastic and inelastic integral cross sections.
