Neutron component deformations, folding models and Satchler's theorem

The identity, proved by Satchler, between a folded quadrupole moment and the underlying nuclear quadrupole moment has been exploited in order to survey deformed optical model and folding model calculations. Reasonable agreement is found for light nuclei between e.m. and nuclear deformations, and for heavy nuclei the following alternative holds: either the folding model for nucleons breaks down in a manner not understood, or, heavy nuclei have much greater deformations of the proton component than of the neutron component for the hexadecapole degree of freedom. In addition it is shown that α-particle folding models appear to break down completely for heavier nuclei. (Auth.)