Role of fluctuations in the structural transitions of hot rotating transitional nucleus

Hot and rotating nuclei are expected to exhibit a rich variety of different shapes. At excitation energies close to the Yrast line the shapes are determined by the shell structure. At higher temperature the finite occupation probability of orbitals above and below Fermi surface at which the shell effects should be weakened can be estimated to approximately T = 1.5 - 2MeV from the expected degrees of shell energies as a function of temperature. At very high angular momentum, nuclei should develop large prolate deformations prior to fission. Growing experimental information is presently becoming available on the shapes and properties of highly excited nuclei, formed in heavy ion reactions. To perform such a study of hot rotating nuclei mean-field theories such as the finite temperature cranked Strutinsky calculations were being used