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Nonlocal coordinate space optical potentials for the scattering of 65 MeVprotons from nuclei ranging in mass from 6Li to 238U have been defined byfolding a complex, medium dependent effective interaction with the densitymatrix elements of each target. The effective interaction is based uponsolutions of the Lippmann--Schwinger and Brueckner--Bethe--Goldstone equationshaving the Paris potential as input. The nuclear structure information requiredin our folding model are the one body density matrix elements for the targetand the single nucleon bound state wave functions that they weight. For lightmass nuclei, very large basis shell model calculations have been made to obtainthe one body density matrix elements. For medium and heavy mass nuclei, a verysimple shell model prescription has been used. The bound state single particlewave functions that complete the nuclear density matrices are eitherWoods--Saxon or harmonic oscillator functions. The former are employed in mostcases when large basis structure is available. For light nuclei (A < 16)Woods--Saxon potential parameters and harmonic oscillator lengths aredetermined from fits to electron scattering form factors. For all other nuclei,we use harmonic oscillator functions with the oscillator lengths set from anA^{1/6} mass law. Using this microscopic model, optical potentials result fromwhich differential cross sections, analyzing powers and spin rotations arefound. In general the calculated results compare very well with data when theeffective interactions are determined from a mapping of nucleon--nucleon gmatrices. This is not the case when effective interactions built from a mappingof (free) t matrices are used.Comment: 34 pages, 17 figures, submitted to Phys. Rev.

Microscopic model analyses of the elastic scattering of 65 MeV protons from targets of diverse mass