Novel solution of power law for γ-bands

Abstract

The power law expression [Formula: see text] offers a single-term formula with just two parameters for expressing the level energies in the spectra of even-[Formula: see text] even-[Formula: see text] nuclei. Its application to ground band spectra for a wide range of nuclei has been demonstrated in our earlier works. Here, we extend its application to the rotational bands built on an excited state of [Formula: see text] [Formula: see text]-vibration band and [Formula: see text] beta band. A novel assumption of a virtual level with spin zero for [Formula: see text]-bands is made and its validity and use is illustrated. Here, the constancy of the parameters “[Formula: see text]” and “[Formula: see text]” with spin, offers a more realistic view of the dependence of the nuclear core deformation on spin, in the excited bands. Also, it enables a spinwise view, not available in the other energy fit expressions.