  The importance of including experimental resonances in constructing effective
inter-cluster interactions has been investigated. For this, we first address
the question of how to obtain the analytical properties of the Jost function in
regions of physical interest on the complex k-plane when the potential is given
in a tabular form. We then employ the Marchenko inverse scattering method to
construct, numerically, phase equivalent local potentials supporting the same
bound state(s) but having different resonance spectra which affect the
off-shell characteristics of the corresponding scattering amplitudes. This
implies that the inclusion of the experimental resonances in constructing a
potential would change its shape, strength, and range which in turn would
modify the bound and scattering wave functions in the interior region. This is
expected to have important consequences in calculations of transition
amplitudes in nuclear reaction theories, which strongly depend on the behaviour
of the wave functions at short distances. The influence of Supersymmetric
Transformations on the position and movement of resonances has also been
investigated.
