论文标题

基于GOGNY能量密度功能的相互作用玻色子模型的光actinides中的八极相关性

Octupole correlations in light actinides from the interacting boson model based on the Gogny energy density functional

论文作者

Nomura, K., Rodríguez-Guzmán, R., Humadi, Y. M., Robledo, L. M., García-Ramos, J. E.

论文摘要

已经研究了偶数均匀的plight actipinides $^{218-238} $ ra和$^{220-240} $ th的四极杆耦合和相关的光谱属性。基于GOGNY-D1M能量密度函数的Hartree-fock-Bogoliubov近似已被用作显微镜输入,即获得(轴向对称)平均场势能表面,作为四倍体和八翼甲列型变形参数的功能。平均场势能表面已使用玻色子冷凝水状态的$ SDF $相互作用玻色子模型(IBM)汉密尔顿的$ SDF $相互作用的玻色子模型(IBM)的期望值映射到相应的玻色势能表面上。 $ SDF $ -IBM Hamiltonian的强度参数已通过此映射程序确定。映射的IBM Hamiltonian的对角线化为积极和负值状态以及用于获得过渡强度的波动函数提供了能量。计算的结果与库仑激发实验中的可用数据进行了很好的比较,并指向$^{224} $ ra和$^{226} $ th的明显八极集体集合。

The quadrupole-octupole coupling and the related spectroscopic properties have been studied for the even-even light actinides $^{218-238}$Ra and $^{220-240}$Th. The Hartree-Fock-Bogoliubov approximation, based on the Gogny-D1M energy density functional, has been employed as a microscopic input, i.e., to obtain (axially symmetric) mean-field potential energy surfaces as functions of the quadrupole and octupole deformation parameters. The mean-field potential energy surfaces have been mapped onto the corresponding bosonic potential energy surfaces using the expectation value of the $sdf$ Interacting Boson Model (IBM) Hamiltonian in the boson condensate state. The strength parameters of the $sdf$-IBM Hamiltonian have been determined via this mapping procedure. The diagonalization of the mapped IBM Hamiltonian provides energies for positive- and negative-parity states as well as wave functions which are employed to obtain transitional strengths. The results of the calculations compare well with available data from Coulomb excitation experiments and point towards a pronounced octupole collectivity around $^{224}$Ra and $^{226}$Th.

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