  We calculate densities of excited states in the quasiparticle random-phase
approximation (QRPA)with Skyrme interactions and volume pairing. We focus on
low-energy peaks/bumps in the strength functions of a range of Ca, Ni, and Sn
isotopes for J pi = 0+, 1-, and 2+. We define an "emitted-neutron number",
which we then use to distinguish localized states from scattering-like states.
The degree of delocalization either increases as the neutron-drip line is
approached or stays high between the stability line and the drip line. In the
2+ channel of Sn, however, the low-lying states, not even counting surface
vibrations, are still fairly well localized on average, even at the neutron
drip line.
