Application of power index formula for high spin states in medium mass nuclei

The heavy ion (⁴He, ¹⁶O, ⁴⁰Ca etc.) reaction on medium mass nuclei of rare earths and actinides excite the target nucleus to high spins. At energies below the Coulomb barrier, fairly clean spectra of ground bands are obtained. There are several two to three terms energy expressions used for reproducing the energy spectra for the different nuclei up to given spin. The Single term energy expression E_I = aI^b, where 'a' and 'b' are constants, index 'b' being the non integer value, has been proved to be successful for reproducing energies for spin I^π <12⁺. Here we extend this work on higher spins to test its validity further