This study presents the first statistical analysis on the correlation of negative parity states. All the available experimental data of 1⁻ & 2⁻ levels of the even mass nuclei in the $16\le \mathrm{A}\le 212$ mass region are used to prepare the sequences and classified as their masses. Random matrix theory together with a usual least - square procedure are used to extract the chaos measures of Berry – Robnik distribution function for different sequences in the framework of nearest neighbor spacing distribution. Also, we considered the chaotic degrees of these levels in relation to different modes of calculated deformations values and the shell model configuration of the last protons and neutrons of even mass nuclei. The results of this consideration suggest the most correlation of $1^{-}$ levels in the $\mathrm{A}<50$, mass area, but similar statistics of $2^{-}$ levels are yield in the $150<\mathrm{A}<200$ region. The most GOE-like behavior of $1^{-}$ levels is reported for sequences that the last protons lie in the $d_{3/2}$ orbitals, and the neutrons filled the $h_{9/2}$ orbitals, but for $2^{-}$ levels, nuclei with $1h_{11/2}$ and $1i_{13/2}$ configurations for respectively, protons and neutrons, show the maximum correlation. Also, the results of this study suggest the most correlation of $1^{-}$ levels for some mass regions which have the maximum values of the averaged quadrupole and hexacontatetrapole deformations.

本研究首次对负奇偶状态的相关性进行了统计分析。1 ^- 和 2 ^-水平的偶数质量核的所有可用实验数据$16\le \mathrm{一种}\le 212$质量区域用于准备序列并分类为它们的质量。随机矩阵理论与通常的最小二乘程序一起用于在最近邻间隔分布的框架内提取不同序列的 Berry-Robnik 分布函数的混沌测度。此外，我们考虑了这些能级的混沌度与计算变形值的不同模式以及偶数质量核的最后质子和中子的壳模型配置有关。这种考虑的结果表明：$1^{-}$ 水平在 $\mathrm{一种}<50$, 质量面积，但类似的统计数据 $2^{-}$ 水平是产量 $150<\mathrm{一种}<200$地区。最像 GOE 的行为$1^{-}$ 报告了最后一个质子位于 $d_{3/2}$ 轨道，中子充满 $H_{9/2}$ 轨道，但对于 $2^{-}$ 水平，核与 $1H_{11/2}$ 和 $1{\mathrm{一世}}_{13/2}$分别为质子和中子的配置显示出最大的相关性。此外，这项研究的结果表明，最大的相关性$1^{-}$ 具有平均四极杆和六四极杆变形最大值的一些质量区域的水平。