A collective model for electron scattering from nuclei.

• Main Author: Stephens, Randall Clay.
• Other Authors: Naval Postgraduate School (U.S.)
• Language: en_US
• Published: Monterey, California: U.S. Naval Postgraduate School 2013
• Online Access: http://hdl.handle.net/10945/28035

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.