Simple model calculations of spin and quantized aligment for the A ∼ 60–90 superdeformed mass region

Abstract

We have used a simple model based on the rotational energy formula E(I, K) to study the structure of the superdeformed (SD) mass region 60–90. The higher order inertial parameters A and B of such model were determined by using the Marquardt method of nonlinear least-squares routines to fit the proposed transition energies with their observed values. A good agreement between the calculated and corresponding experimental transition energies of the SD bands is obtained which supports our proposed model. In addition, the frequency dependence of the dynamic, θ(2), and static, θ(1), moments of inertia is used to determine the lowest spin (If) and the K-value of the considered SD bands; namely, 58Ni(b1), 58Cu, 59Cu(b1), 61Zn, 62Zn, 65Zn, 68Zn, 84Zr, 86Zr(b1), 88Mo(b1, b2, b3) and 89Tc. As a result of the identity exist among some of the considered SD bands, we have studied the incremental alignment and also the angular momentum alignment.