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三轴变形的参数化和摆动带的E2跃迁

Parametrizations of triaxial deformation and E2 transitions of the wobbling band

Yoshifumi R. Shimizu, Takuya Shoji, Masayuki Matsuzaki

备注：
10 pages, 9 figures
发表信息：
Phys.Rev.C77:024319,2008
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摘要：

根据这个定义，三轴形变参数$γ$与内禀四极张量算符的K=0和K=2分量的期望值有关。另一方面，使用相同的符号“$γ$“，三轴变形的各种不同的参数化已被采用，这适用于各种类型的平均场势。本文指出，对于相同的实际三轴变形，特别是大变形，不同的“$γ$“值相差很大，例如，对于最近在Hf和Lu核中观测到的三轴超变形带的情况，这种差异几乎可以是2倍。在我们以前的工作中，我们用推转Nilsson平均场的微观框架和无规相位近似研究了Lu核的摆动带，其中最严重的问题是计算的B（E2）值小了约2倍。结果表明，这种低估的原因主要是由于三轴变形较小，如果采用与颗粒转子模型分析相同的三轴变形，则计算的B（E2）与实验值相比有所增加，并给出了正确的量值。

英文摘要：

By the very definition the triaxial deformation parameter $γ$ is related to the expectation values of the K=0 and K=2 components of the intrinsic quadrupole tensor operator. On the other hand, using the same symbol "$γ$", various different parametrizations of triaxial deformation have been employed, which are suitable for various types of the mean-field potentials. It is pointed out that the values of various "$γ$" are quite different for the same actual triaxial deformation, especially for the large deformation; for example, the difference can be almost a factor two for the case of the triaxial superdeformed bands recently observed in the Hf and Lu nuclei. In our previous work, we have studied the wobbling band in Lu nuclei by using the microscopic framework of the cranked Nilsson mean-field and the random phase approximation, where the most serious problem is that the calculated B(E2) value is about factor two smaller. It is shown that the origin of this underestimation can be mainly attributed to the small triaxial deformation; if is used the same triaxial deformation as in the analysis of the particle-rotor model, the calculated B(E2) increases and gives correct magnitude compared with the experimental data.

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