Properties of superdeformed bands in A < 100 mass region within the variable moment of inertia model

Abstract The variable moment of inertia (VMI) model has been used to study the properties of superdeformed (SD) bands in A < 100 mass region. The experimental γ -ray ( E γ ) transitions energies are least square fitted to obtain the model parameters such as band head moment of inertia, ( J 0 ), and stiffness constant, ( C ). The observed E γ transition energies obtained using the VMI formula are in excellent agreement with the experimental values. In the paper, we have studied the dynamic moment of inertia ( J (2) ) and its variation with rotational frequency ( ℏ ω ). We also studied the Δ I = 2 staggering phenomena in SD bands of 61 Zn(SD), 62 Zn(SD1), 80 Sr(SD1), 81 Sr(SD1), 82 Sr(SD), 83 Sr(SD), 84 Zr(SD), 86 Zr(SD1), 86 Zr(SD4), 87 Nb(SD2), 89 Tc(SD) and 91 Tc(SD) nuclei. The VMI model brings very comprehensive interpretation for spin assignment and to study the properties of SD bands in light mass region nuclei.