The interplay between quadrupole and octupole degrees of freedom is discussed in a series of U, Pu, Cm and Cf isotopes both at the mean-field level and beyond. In addition to the static Hartree–Fock–Bogoliubov approach, dynamical beyond-mean-field correlations are taken into account via both parity restoration and symmetry-conserving generator coordinate method calculations based on the parametrization D1M of the Gogny energy density functional. Physical properties such as correlation energies, negative-parity excitation energies as well as reduced transition probabilities B(E1) and B(E3) are discussed in detail and compared with the available experimental data. It is shown that, for the studied nuclei, the quadrupole-octupole coupling is weak and to a large extent the properties of negative parity states can be reasonably well described in terms of the octupole degree of freedom alone.

在一系列的U，Pu，Cm和Cf同位素中，均在四极和八极自由度之间相互作用。除了静态Hartree-Fock-Bogoliubov方法外，还通过奇偶校验恢复和基于Gogny能量密度函数的参数化D1M的对称守恒生成器坐标方法计算来考虑动态平均域外相关。物理性质，例如相关能，负奇偶激发能以及降低的跃迁几率B（E 1）和B（E3）进行了详细讨论，并与可用的实验数据进行了比较。结果表明，对于所研究的原子核，四极-八极耦合很弱，并且在很大程度上，仅根据八极自由度就可以很好地描述负校验状态的性质。