In this paper, the characteristics of nuclear supersymmetry in transitional nuclei are investigated. The structure of the two types of nuclear supersymmetry schemes, based on the U(6/2) and U(6/4) supergroups, is discussed. We focus on the quantal analysis and present the phase transition observables such as the level crossing, the expectation values of the d-boson and the fermion number operators. It is found that the relation between the even–even and odd-A neighbors implied by nuclear supersymmetry in addition to dynamical symmetry limits can be also used for transitional regions. Experimental evidence for the occurrence of vibrational to gamma-unstable transition in Ru–Rh and Zn–Cu supermultiplets is presented. We show that the second-order nature of the phase transition from U(5) to O(6) may exist in Ru–Rh and Zn–Cu supermultiplets.

本文研究了过渡核中核超对称性的特征。讨论了基于 U(6/2) 和 U(6/4) 超群的两种核超对称方案的结构。我们专注于量子分析并呈现相变可观测值，例如水平交叉、d-玻色子的期望值和费米子数算子。发现除了动力学对称限制外，核超对称性所暗示的偶-偶和奇-A 邻居之间的关系也可用于过渡区域。提供了在 Ru-Rh 和 Zn-Cu 超多重子中发生振动到伽马不稳定转变的实验证据。我们表明，从 U(5) 到 O(6) 的相变的二阶性质可能存在于 Ru-Rh 和 Zn-Cu 超多重态中。