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 He6,8 and Li11, 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 Ca40, and they have been used also to specify relevant proton-Ca40 optical potentials with which elastic scattering has been predicted.