Local scale transformations and extended matter distributions in nuclei

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 a set of chosen single-nucleon 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.