Abstract
Theoretical nuclear study of the even-even Plutonium Isotopes Pu238−244 was carried out. The positive-parity rotational state band was calculated in the framework of the interacting Boson model-1 (IBM-1) and modified soft rotor formula (MSRF), while the negative-parity band was calculated in the framework of the new modified negative-parity formula (NMF). Furthermore, the energy levels for the β- and γ-vibrational energy bands were calculated. The odd-even staggering effect between the ground and octupole bands, which is a function of spin, was analyzed. The intrinsic coherent state was used to find the potential energy surfaces (PES). In addition, electric transition probabilities B(E1), B(E2), and B(E3) for these isotopes were calculated. The results obtained by applying the IBM-1, MSRF, and the NMF were inferred to be in good agreement with the corresponding experimental data for most of the nuclear states.