New Perspective in the Use of Power Index Formula for Level Energies

Abstract

The power index formula is an alternative method in the form of single term energy expression i.e. \({{E}_{{\left( I \right)}}} = a{{I}^{{b~}}}\) to calculate the energy spectrum of even-even nuclei. In the earlier studies the validity of power index formula for g-, β- and γ-bands in various mass regions of nuclear chart were discussed well. In this paper, we illustrate the new perspective in the use of power index formula for g-, β- and γ-bands of even Z, even N nuclei i.e. sub-shell change in semi magic nuclei, the validity of formula for β-band energies and kinetic moment of inertia (kinetic MoI) of γ-band for some ^142–148Ba, ^144–152Ce and ^146–156Nd nuclei. We also compared the energy values calculated by power index formula with the experimental values and Interacting Boson Model-1(IBM-1) values.