Spectona-Catania-Paris能量密度泛函的八极形变性质
Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
摘要：
我们讨论了最近提出的Radiona-Catania-Paris（BCP）能量密度泛函的八极形变性质的两组同位素，镭和钡，它被认为八极形变起着作用的基态的描述。分析是在平均场框架（Hartree-Fock- Bogoliubov近似）下进行的，并以轴对称八极矩为约束条件。计算了进入八极集体哈密顿量的主要成分，得到了最低八极本征态。这样，我们恢复，在一个近似的方式，宇称对称性自发打破的平均场，也将八极波动周围的基态解决方案。对于每个同位素的能量的最低躺的$1^{-}$状态和$B(E1)$和$B(E3)$的跃迁概率已被计算和比较的实验数据和结果在同一框架内与Gogny D1 S相互作用，这是在这里作为一个良好的基准。最后，八极性的方式下到裂变的$^{240}$钚，这是强烈连接到不对称的碎片质量分布，涉及的配置进行了研究。我们确认与此彻底的研究BCP泛函描述八极相关的现象的适用性。
英文摘要：
We discuss the octupole deformation properties of the recently proposed Barcelona-Catania-Paris (BCP) energy density functionals for two sets of isotopes, those of radium and barium, where it is believed that octupole deformation plays a role in the description of the ground state. The analysis is carried out in the mean field framework (Hartree- Fock- Bogoliubov approximation) by using the axially symmetric octupole moment as a constraint. The main ingredients entering the octupole collective Hamiltonian are evaluated and the lowest lying octupole eigenstates are obtained. In this way we restore, in an approximate way, the parity symmetry spontaneously broken by the mean field and also incorporate octupole fluctuations around the ground state solution. For each isotope the energy of the lowest lying $1^{-}$state and the $B(E1)$ and $B(E3)$ transition probabilities have been computed and compared to both the experimental data and the results obtained in the same framework with the Gogny D1S interaction, which are used here as a well established benchmark. Finally, the octupolarity of the configurations involved in the way down to fission of $^{240}$Pu, which is strongly connected to the asymmetric fragment mass distribution, is studied. We confirm with this thorough study the suitability of the BCP functionals to describe octupole related phenomena.
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