Nuclear supersymmetry and quantum shape-phase transition

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.

Automated summary

This paper investigates the characteristics of nuclear supersymmetry in transitional nuclei, focusing on the structure of two types of nuclear supersymmetry schemes, quantal analysis, and phase transition observables. Experimental evidence for vibrational to gamma-unstable transition in Ru-Rh and Zn-Cu supermultiplets is presented, suggesting the second-order nature of the phase transition from U(5) to O(6) may exist in these supermultiplets.