Backbending feature of rotational spectra in the generalized variable-moment-of-inertia model and its equivalence with the Harris model

The equivalence of Harris model equations with those of the generalized variable-moment-of-inertia (GVMI) model given by Das et al. is examined in the light of the backbending feature of the rotational states. It is shown that this feature is absent in the Harris model taken to any order. The GVMI model equations are found to be consistent and in one-to-one correspondence with an expansion of the square of the angular velocity in terms of a polynomial in the moment of inertia rather than with the Harris expansion and may give a backbending feature in some cases depending on the relative values of the parameters appearing in the potential energy term.NUCLEAR STRUCTURE Variable moment of inertia, angular velocity, cranking model, backbending, high spin rotational states.