A collective model for electron scattering from nuclei.
Stephens, Randall Clay.
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The work of Lewis and Walecka on the structure of the giant resonance for electron scattering from Carbon 12 and Oxygen 16 seems to indicate that the shell model particle-hole theory gives better results than collective models --in particular the Goldhaber-Teller and Steinwedel-Jensen models. The transverse form factor as a function of momentum transfer is observed experimentally to fall to a minimum and rise again in the range from zero to 0. 6f superscript -1. This dip is predicted by the Brown particle-hole theory model but is not predicted by either of these collective models. The purpose of this paper is to develop a collective model which could possibly give this dip in the form factor. Further work is necessary to determine if this model will actually give this result. A semiclassical treatment is used to find the matrix elements for the assumed model. The transverse form factor is then calculated for two nuclear charge density functions -- constant density and the Fermi distribution.
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