Moments of inertia in IBM

Abstract

For more convenient visualization of the character of the spectrum in the band, as well as the quality of reproduction of experimental energies in various models, it is convenient to move from energies to effective moments of inertia J depending on the square of the rotation frequency ${\omega }^2$. In this regard, it is found out what character of $J\left({\omega }^2\right)$ can be reproduced by various limiting cases of IBM, as well as what are the variations in the behavior of $J\left({\omega }^2\right)$ for arbitrary values of the IBM Hamiltonian parameters. This can provide additional information on the change in the nature of states in the bands as the spin increases.