Theoretical nuclear study of the even-even Plutonium Isotopes ${}^{238-244}\mathrm{Pu}$ 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.

偶数P同位素的理论核研究 ${}^{238-244}\mathrm{普}$进行了。在相互作用的Boson模型1（IBM-1）和修改后的软转子公式（MSRF）的框架内计算了正奇偶校验旋转状态带，而在新的修改后的负电子模型中计算了负奇偶校验带。奇偶校验公式（NMF）。此外，计算了β-和γ-振动能带的能级。分析了基带和八极带之间的奇偶交错效应，这是自旋的函数。本征相干态用于找到势能面（PES）。另外，电跃迁几率$乙（Ë\mathrm{1个}）$， $乙（Ë2）$和 $乙（Ë3）$对这些同位素进行了计算。推断通过应用IBM-1，MSRF和NMF所获得的结果与大多数核国家的相应实验数据高度吻合。