  We study the predictive power of Skyrme forces with respect to low lying
quadrupole spectra along the chains of Sn, Cd, and Te isotopes. Excitation
energies and B(E2) values for the lowest quadrupole states are computed from a
collective Schroedinger equation which as deduced through collective path
generated by constraint Skyrme-Hartree-Fock (SHF) plus self-consistent cranking
for the dynamical response. We compare the results from four different Skyrme
forces, all treated with two different pairing forces (volume versus
density-dependent pairing). The region around the neutron shell closure N=82 is
very sensitive to changes in the Skyrme while the mid-shell isotopes in the
region N<82 depend mainly on the adjustment of pairing. The neutron rich
isotopes are most sensitive and depend on both aspects.
