We carry out a study on various configurations admissible in a superdeformed nucleus, ¹⁵²Dy. Our interest is in extracting the nature of spectral fluctuations and compare with those of random matrix theory. In particular, we study the distribution functions of ratios of the nearest-neighbor spacing of the energy levels. This does not require usage for the average level density. For several variations of shapes, the energy levels have been calculated in a self-consistent manner, and their fluctuations show that the energy levels are correlated in a manner expected for the eigenvalues of quantum systems which are classically non-integrable. Due to limited size of level sequences in each symmetry class, our results may be termed only indicative.

我们对超变形核¹⁵² Dy中允许的各种构型进行了研究。我们的兴趣是提取频谱涨落的性质并与随机矩阵理论进行比较。特别地，我们研究能级的最近邻居间距之比的分布函数。这不需要用于平均电平密度。对于几种形状的变化，已经以自洽的方式计算了能级，并且它们的波动表明，能级以对于经典不可积分的量子系统特征值所期望的方式相关。由于每个对称类别中水平序列的大小有限，我们的结果可能仅被称为指示性的。