Department of Physics, University of Tabriz, P.O. Box 51664-16471, Tabriz, Iran.
Department of Physics, University of Ilam, P.O. Box 61391-7711, Ilam, Iran.
Sci Rep. 2023 Mar 8;13(1):3849. doi: 10.1038/s41598-023-31002-2.
In this paper, we tried to get a new signature of regular nuclei based on their quadrupole transition rates. We have analyzed the experimental electric quadrupole transition probabilities of well-known "regular nuclei". The results indicate finding specific repetition patterns for E2 transition rates, similar to what has been reported for the energy levels of these nuclei. We also tested the existence of this observed repetition scheme for all known isotopes whose experimental transition rates are available and introduced several new candidates as regular nuclei. Then, the energy spectra (Experimental) of these new suggested "regular nuclei" are investigated in the framework of the Interacting Boson Model, in which the parameters of Hamiltonian confirm the placement of these nuclei in the "Alhassid-Whelan arc of regularity" region. In order to further study the statistical distribution of experimental energy levels related to the electromagnetic transitions we are considering, we studied using the random matrix theory. The results confirmed their regularity.
在本文中，我们试图基于原子核的电四极跃迁率得到一个新的规则核签名。我们分析了著名“规则核”的实验电四极跃迁几率。结果表明，在 E2 跃迁率中发现了特定的重复模式，类似于这些核能级的报告。我们还针对所有已知同位素的实验跃迁率进行了这种观察到的重复模式的存在性测试，这些同位素已经有实验跃迁率，并且我们引入了几个新的候选“规则核”。然后，在相互作用玻色子模型的框架内研究了这些新提出的“规则核”的能谱（实验），其中哈密顿量的参数证实了这些核在“Alhassid-Whelan 规则弧”区域的位置。为了进一步研究与电磁跃迁相关的实验能级的统计分布，我们考虑使用随机矩阵理论进行研究。结果证实了它们的规则性。
