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arXiv 0904.1487nucl-th
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N=90区核量子相变的微观分析

Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region

Z. P. Li, T. Niksic, D. Vretenar, J. Meng, G. A. Lalazissis, P. Ring

摘要:

基于相对论能量密度泛函的框架,在参考文献\cite{PRL99}中对Nd同位素的形状转变的分析仅限于轴对称形状,本文将其推广到具有$N \approx 90$的$Z = 60$,62,64区域,并包括$β$和$γ$两种变形。集体激发光谱和跃迁概率计算开始从一个五维哈密顿四极振动和旋转自由度,与参数确定的约束自洽相对论平均场计算三轴形状。结果再现了现有的数据,并表明在N=90时存在一个结构突变,该突变可以近似地用X(5)解析解在球形和轴向变形形状之间的一级量子相变临界点处表征。

英文摘要:

The analysis of shape transitions in Nd isotopes, based on the framework of relativistic energy density functionals and restricted to axially symmetric shapes in Ref. \cite{PRL99}, is extended to the region $Z = 60$, 62, 64 with $N \approx 90$, and includes both $β$ and $γ$ deformations. Collective excitation spectra and transition probabilities are calculated starting from a five-dimensional Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The results reproduce available data, and show that there is an abrupt change of structure at N=90 that can be approximately characterized by the X(5) analytic solution at the critical point of the first-order quantum phase transition between spherical and axially deformed shapes.

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