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 &lt; 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 ΔI = 2 staggering phenomena in SD bands of 61Zn(SD), 62Zn(SD1), 80Sr(SD1), 81Sr(SD1), 82Sr(SD), 83Sr(SD), 84Zr(SD), 86Zr(SD1), 86Zr(SD4), 87Nb(SD2), 89Tc(SD) and 91Tc(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.

Energy staggering in superdeformed bands for isodiaphere nuclei in A ~ 40-60 mass region

“…Furthermore, lower mass A region has an importance than the higher one because of the finite number of particles [34 -38] and higher rotational frequency ℏ𝜔(𝐼) [4]. Afanasjev et al [39] studied the highly deformed bands in 𝐶𝑢 Vidya Devi et al used the variable moment of inertia (VMI) model to study the properties of superdeformed bands in A < 100 mass region [51]. At high spins, superdeformed rotational bands (SDRBs) are now considered as one of the most important principles in nuclear structure [52].…”

“…Many models can used to study the properties of nuclei [50,51,53]. Here, we study the properties of various isodiaphere nuclei -the nuclei in which the difference between the number of neutrons ) by using the Bohr-Mottelson collective model with four and five unknown parameters.…”