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arXiv 1409.1844nucl-th
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重偶偶核中低位正负宇称带的同时描述

Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei

H. G. Ganev

摘要:

在Sp(12,$R$)动力学对称群的辛相互作用矢量玻色子模型框架下,研究了稀土和锕系重偶偶核的低激发能谱,包括前几个激发正负宇称带.辛动力学对称性允许改变建立集体态的激发量子或声子的数量,从而提供更大的表示空间和更丰富的子代数结构,以包含更复杂的核光谱。基态带和$K^π=0^{-}$带的能级和集体态之间的电磁跃迁的理论预测与实验和其他一些集体模型,包括八极和/或偶极自由度进行了比较。计算了偶偶核八极关联的一个敏感指标--能量交错,并与实验进行了比较。得到的能级,能量交错和过渡强度的结果揭示了相关的动力学对称性的模型的同时描述的正和负宇称低位集体带。

英文摘要:

The low-lying spectra including the first few excited positive and negative parity bands of some heavy even-even nuclei from the rare earth and actinide mass regions are investigated within the framework of the symplectic Interacting Vector Boson Model with Sp(12,$R$) dynamical symmetry group. Symplectic dynamical symmetries allow the change of the number of excitation quanta or phonons building the collective states providing for larger representation spaces and richer subalgebraic structures to incorporate more complex nuclear spectra. The theoretical predictions for the energy levels and the electromagnetic transitions between the collective states of the ground state band and $K^π=0^{-}$ band are compared with experiment and some other collective models incorporating octupole and/or dipole degrees of freedom. The energy staggering which is a sensitive indicator of the octupole correlations in the even-even nuclei is also calculated and compared with experiment. The results obtained for the energy levels, energy staggering and transition strengths reveal the relevance of the used dynamical symmetry of the model for the simultaneous description of both positive and negative parity low-lying collective bands.

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