Application of Symmetry Theories to the Design of Fragment Separators for Exotic Isotope Accelerators

Exotic isotope accelerators are posed to provide us with unique abilities to investigate and test current theories regarding nuclei structure, weak-force interaction symmetry, and cosmologic evolution. Crucial to this powerful experimental tool is the design of its fragment separator. Designs for such a fragment separator can be developed through use of symmetry theories and simulation software. The goals and requirements of such designs include mechanical specifications; minimizing the effects of beam aberrations, fringe fields, and stochastic effects of the systems elements; allowing large acceptance; and providing a high-intensity beam of pure ions to be transported to experiments through the accelerator. Beam aberrations create substantial problems in any design, particularly beyond the first- and second-order terms. Symmetry theories help understanding the cause of these aberrations and provide clues to correct the design. This thesis explores a variety of designs that have been tested and compared to develop a proposed system layout that will best meet the needs and goals of the next-generation exotic isotope accelerator.