Spin Determination and Study of the A 100 - 140 Superdeformed Mass Region Using Three Parameter Empirical Formula.

Abstract

Using the three-parameter expression of Harris expansion for the rotational energy, the dynamic moment of inertia is represented by a power-series expansion in even powers of the rotational frequency . The three expansion coefficients were determined using Marquardt method of nonlinear least-squares routines to fit the proposed dynamical moment of inertia with its recent experimental data for the superdeformed (SD) nuclei in the A 100-140 mass region. The calculated dynamical moment of inertia with the best parameters is then integrated to obtain the spin, which in turn was used to determine the static moment of inertia. The comparison of the dynamic moment of inertia and spin with their available experimental data shows good agreements between them. These procedures were succeedingly done for 15 superdeformed bands in the A 100-140 nuclei; namely, 104Pd(b1), 132Ce(b1), 134Nd(b1), 136Nd(b2), 142Sm(b1), 148Eu(b1, b2), 131Ce(b1, b2), 133Ce(b1, b2), 133Pr(b1, b3), 137Sm(b1), 143Eu(b1).