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Description of intruder levels in the 162,164,166Dy nuclei by two different algebraic approaches
Nuclear Physics A ( IF 1.4 ) Pub Date : 2023-12-06 , DOI: 10.1016/j.nuclphysa.2023.122811
Z. Jahangiri tazekand , H. Sabri

In this paper, we tried to describe both normal and intruder levels of the ground and first excited beta and gamma rotational bands of 162,164,166Dy deformed nuclei in the framework of the interacting boson model. A normal Hamiltonian of SU(3) dynamical symmetry limit is extended by adding a 2p-2 h excitation term. Also, the results are compared with the predictions of the partial dynamical symmetry for these levels of considered nuclei. The results show that, this extension removes the degeneracy suggested by the pure SU(3) symmetry and makes satisfactory agreement with the experimental counterparts for the energy levels, too. Also, a comparison between the results of this extended formalism and partial dynamical symmetry shows the advantages of the first one in the description of intruder levels, whereas the latter, makes exact results for the normal energy levels of beta and gamma energy bands. The predictions of pure SU(3), partial dynamical symmetry SU(3) and mixed formalism for different quadrupole transition rates between normal and intruder levels of this nucleus are compared with the predictions of pseudo-SU(3) model and the advantages of each model have explained in detail.



中文翻译:


通过两种不同的代数方法描述 162,164,166Dy 核中的入侵者水平



在本文中,我们试图在相互作用玻色子模型的框架中描述地面的正常水平和入侵水平以及 162,164,166 Dy变形核的第一激发β和γ旋转带。 SU(3) 动力学对称极限的正常哈密顿量通过添加 2p-2 h 激励项进行扩展。此外,还将结果与所考虑的原子核的这些水平的部分动力学对称性的预测进行比较。结果表明,这种扩展消除了纯 SU(3) 对称性所暗示的简并性,并且与能级的实验对应物也取得了令人满意的一致。此外,这种扩展形式主义和部分动力学对称性的结果之间的比较显示了第一种形式在入侵者能级描述中的优势,而后者则为β和伽马能带的正常能级提供了精确的结果。将纯SU(3)、部分动力学对称SU(3)和混合形式对该核正常能级和入侵者能级之间不同四极跃迁率的预测与伪SU(3)模型的预测进行比较,并比较各自的优点模型已经详细解释了。

更新日期:2023-12-06
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