No abstract

The exponential model with pairing attenuation (EMPA) is extended and used to analysis the superdeformed rotational bands (SDRB ' s) in Thallium nuclei in the mass region A~190. The level spins are extracted by fitting the experimental dynamical moment of inertia J (2) to the theoretical version of Harris expansion in even powers of rotational frequency ħω. Using the assigned spins, the parameters of the extended exponential model are adjusted by using a computer simulated search program to fit the transition energies with experimental ones. The best adopted parameters are used to calculate transition energies Eγ(I) rotational frequencies ħω, kinematic J (1) and dynamic J (2) moments of inertia .The variation of J (1) and J (2) versus ħω are examined. A staggering function depends on the concept of EGOS and finite differences are suggested to investigate and exhibit the I=1 staggering effect in transition energies in the studied SDRB ' s. The phenomenon of identical bands in also investigated in Thallium nuclei.