  Local scale transformations are made to vary the long range properties of
harmonic oscillator orbitals conventionally used in model structure
calculations of nuclear systems. The transformations ensure that those
oscillator states asymptotically have exponentially decaying forms consistent
with chosen single nucleon binding energies, leaving the structure essentially
unchanged within the body of the nucleus. Application has been made to the
radioactive nuclei 6,8He and 11Li and the resulting wave functions are used to
generate g-folding optical potentials for elastic scattering of those ions from
hydrogen. As a consistency test, application has been made to form wave
functions for 40Ca and they have been used also to specify relevant proton-40Ca
optical potentials with which elastic scattering has been predicted. The need
for appropriate specifications of single particle binding energies in exotic
nuclei is discussed.
