  Phase shifts for $\alpha$ + nucleon scattering generated by a multichannel
RGM model of the five-nucleon system are subjected to iterative-perturbative
``mixed-case" inversion for energies below the reaction threshold. The
resulting phase-equivalent potentials are compared with local potentials
calculated from the inversion of empirical phase shifts. A strong similarity is
revealed between the two sets of potentials, most notably in the description by
a parity- and energy-dependent local potential. In particular, the RGM-derived
and empirical potentials share a distinctive form of parity dependence in which
the odd-parity component is of greater radial extent. Comparison with
potentials representing single-channel RGM phase shifts exhibits the importance
of the coupled channels in terms of local potentials. The relative wave
functions derived from RGM are very different to those for the phase-equivalent
local potentials.
