Extension of Belyaev-Zelivinski method of rotation as intrinsic nuclear excitation

Jeffrey W. Gray, Binghamton University--SUNY


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.