Document Type

Dissertation

Date of Award

1973

Keywords

Nuclear excitation, Belyaev-Zelivinski method

Degree Name

Doctor of Philosophy (PhD)

Department

Physics

First Advisor

Newton Greenberg

Second Advisor

Sol Raboy

Third Advisor

Tsu-ming Wu

Abstract

The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]2 term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]2 terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.

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