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arXiv 2609.28861nucl-th

$^{160-170}$Dy 原子核中的电磁性质:基于伪 SU(3) 壳模型的微观描述

Electromagnetic properties in $^{160-170}$Dy nuclei: A microscopic description by the pseudo-SU(3) shell model

Carlos E. Vargas, Víctor Velázquez, Sergio Lerma-Hernández, Norma Bagatella-Flores

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中文总结 AI 辅助

本文利用伪 SU(3) 壳模型计算了 $^{160-170}$Dy 原子核的电磁性质,包括带间跃迁强度、四极矩和 $g$ 因子,验证了该模型在重形变核微观描述中的有效性。

中文摘要 AI 辅助

核景观中稀土区域观察到的大集体性是众所周知的。由于价空间巨大,该区域的微观研究难以进行,而这一问题可以通过使用基于对称性的模型来避免。本文在伪 SU(3) 框架下对 $^{160-170}$Dy 原子核的电磁性质进行了计算。模型哈密顿量包括保持对称性的 $Q\cdot Q$ 项以及对称性破缺的 Nilsson 项和对关联项,这些项对链中所有成员进行了系统参数化。该模型被用于计算基态、$\gamma$ 带和 $\beta$ 带之间的 B(E2) 和 B(M1) 带间跃迁强度。此外,我们还给出了这些转动带中的四极矩和 $g$ 因子的结果。结果表明,伪 SU(3) 壳模型是描述重形变核正常宇称区态电磁性质的强大微观理论。

英文摘要

The large collectivity observed in the rare earth region of the nuclear landscape is well known. The microscopic studies are difficult to perform in this region due to the enormous size of the valence spaces, a problem that can be avoided by means of the use of symmetry based models. Here we present calculations for electromagnetic properties of $^{160-170}$Dy nuclei within the pseudo-SU(3) scheme. The model Hamiltonian includes the preserving symmetry $Q\cdot Q$ term and the symmetry-breaking Nilsson and pairing terms, systematically parametrized for all members of the chain. The model is used to calculate B(E2) and B(M1) inter-band transition strengths between the ground state, $γ$ and $β$-bands. In addition, we present results for quadrupole moments and $g$ factors in these rotational bands. The results show that the pseudo-SU(3) shell model is a powerful microscopic theory for a description of electromagnetic properties of states in the normal parity sector in heavy deformed nuclei.

发表机构

  • Facultad de Fı́sica, Universidad Veracruzana(韦拉克鲁斯大学物理学院)

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