奇质量$^{167,169,171}$Lu原子核正常形变转动带的理论研究
Theoretical study of normal deformed rotational bands of odd-mass $^{167,169,171}$Lu nuclei
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中文总结 AI 辅助
本研究利用伪SU(3)壳层模型系统研究$^{167,169,171}$Lu原子核正常形变转动带的能谱、四极矩、形变参数及B(E2)跃迁强度，预测了集体转动带并讨论了模型适用性。
中文摘要 AI 辅助
稀土原子核核结构的理论描述对许多壳层模型而言是一个重大挑战。这一困难源于所涉及的组态空间的大小。基于对称性的方法提供了显著优势。此外，伪SU(3)壳层模型已被证明在描述这些系统时非常有用。特别是，我们提出研究低、中自旋（$J\leq35/2$）下正常形变转动带的能谱、四极矩、与这些态相关的形变参数$\gamma$，以及$^{167,169,171}$Lu原子核中的B(E2)跃迁强度。哈密顿量包括$Q \cdot Q$、Nilsson和对关联项，这些项以系统的方式参数化，此外还有三个类转子项，用于对能谱进行微调。我们的计算预测在大多数情况下存在长椭球正常形变的集体转动带。例外是$^{171}$Lu中的$1/2^+$带，具有三轴形变。四极矩沿带变化，其绝对值随自旋增加而增大。$\gamma$形变参数沿带几乎保持恒定，B(E2)值表明这些带具有集体性质和正常形变。讨论了模型的一致性及其局限性。
英文摘要
The theoretical description of nuclear structure in rare earth nuclei represents a significant challenge for many shell models. This difficulty stems from the size of the configuration space involved. Methods based on symmetries provide significant advantages. Furthermore, the pseudo-SU(3) shell model has proven to be very useful in the description of these systems. In particular, we propose to study the energy spectra of the rotational bands with normal deformation at low and medium spin ($J\leq35/2$), the quadrupole moments, and the deformation parameter $γ$ associated with the states, as well as the B(E2) transition strengths in the $^{167,169,171}$Lu nuclei. The Hamiltonian includes $Q \cdot Q$, Nilsson, and pairing terms, parameterized in a systematic way, in addition to three rotor-like terms that enable fine tuning of the spectra. Our calculations predict collective rotational bands with prolate normal deformation in most cases. The exception is the $1/2^+$ band in $^{171}$Lu with a triaxial shape. The quadrupole moments vary along the bands, increasing in absolute value with spin. The $γ$ deformation parameter remains nearly constant along the bands, and the B(E2) values suggest bands with collective character and normal deformation. The agreement and limitations of the model are discussed.
发表机构
- Universidad Veracruzana（韦拉克鲁斯大学）
- Universidad Nacional Autónoma de México（墨西哥国立自治大学）
- Paul Scherrer Institut（保罗谢尔研究所）
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