N=90附近偶偶稀土核十六极集体性的微观描述
Microscopic description of hexadecapole collectivity in even-even rare-earth nuclei near $N=90$
AI总结：
本文利用从相对论能量密度泛函自洽平均场导出的映射sdg相互作用玻色子模型，研究N=90附近稀土核的十六极关联，表明引入g玻色子能显著改进近壳层闭合核的高自旋晕态能量和四极跃迁强度描述。
摘要：
我们对稀土区N=90附近的十六极关联及其对各种核性质（如低能谱以及四极、十六极和单极跃迁强度）的影响进行了广泛研究。为了考察十六极关联，我们采用了一个映射的sdg相互作用玻色子模型，其参数来源于具有相对论能量密度泛函的自洽平均场计算。我们将该模型应用于Nd、Sm、Gd、Dy和Er（Z=60–68）的偶偶同位素，中子数N=84–96。所得结果与实验符合良好。通过与更简单的映射sd相互作用玻色子模型所得结果进行比较，我们表明，通过g玻色子引入十六极自由度对于改进N=84和86（靠近中子壳层闭合）核中J^π ≥ 6+晕态能量的结果是必要的。sdg相互作用玻色子模型增大了N=90和92良好形变核中晕态之间的四极跃迁强度，这与大多数这些同位素的实验符合良好。g玻色子的存在确实对十六极跃迁强度有重要影响，尽管此类跃迁的实验数据有限。所得单极跃迁强度与更简单的sd模型所得结果没有显著差异。
英文摘要：
We present an extensive study of hexadecapole correlations in the rare-earth region near $N=90$ and the effects these correlations have on various nuclear properties, such as the low-energy spectra, as well as quadrupole, hexadecapole, and monopole transition strengths. In order to examine hexadecapole correlations, we employ a mapped $sdg$ interacting boson model, with parameters derived from a self-consistent mean-field calculations with a relativistic energy density functional. We apply this model to even-even isotopes of Nd, Sm, Gd, Dy, and Er ($Z=60 - 68$) with neutron numbers $N=84-96$. The obtained results show a good agreement with the experiment. By comparing the results with the ones obtained from a simpler mapped $sd$ interacting boson model, we show that the inclusion of the hexadecapole degree of freedom via $g$ boson is necessary to improve the results of the $J^π \geq 6^{+}$ yrast energies in the nuclei with $N=84$ and 86, being near the neutron shell closure. The $sdg$ interacting boson model increases the quadrupole transition strengths between yrast states in the $N=90$ and 92 well deformed nuclei, which is in good agreement with the experiment for most of those isotopes. The presence of $g$ bosons does have an important effect on hexadecapole transition strengths, although experimental data for such transitions are limited. The obtained monopole transition strengths do not differ significantly from the ones obtained from the simpler $sd$ model.
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