Microscopic description of quadrupole-octupole coupling in actinides with the Gogny-D1M energy density functional

R. Rodríguez-Guzmán, Y. Humadi, L. Robledo
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引用次数: 10

Abstract

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.
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用Gogny-D1M能量密度泛函描述锕系元素中四极-八极耦合的微观描述
本文讨论了四极和八极自由度之间的相互作用,讨论了一系列U、Pu、Cm和Cf同位素在平均场水平上的相互作用。除了静态Hartree-Fock-Bogoliubov方法外,基于Gogny能量密度泛函的参数化D1M计算,通过奇偶恢复和对称保持发电机坐标法计算,考虑了动态超中场相关。详细讨论了相关能、负宇称激发能、简化跃迁概率$B(E1)$和$B(E3)$等物理性质,并与现有实验数据进行了比较。结果表明,对于所研究的原子核,四极-八极耦合是弱的,在很大程度上,负宇称态的性质可以很好地用八极自由度来描述。
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