Investigation of Nuclear Phase Transition by Solvababe supersymmetric algebraic model and its application in Ru-Rh and Zn-Cu Isotopes

TL;DR

This paper introduces a solvable supersymmetric algebraic model to describe nuclear shape-phase transitions, applying it to Ru-Rh and Zn-Cu isotopes, and compares theoretical predictions with experimental data.

Contribution

It develops a new algebraic framework based on dual algebraic structures and Richardson-Gaudin methods for nuclear phase transitions, extending nuclear supersymmetry to transitional regions.

Findings

The model successfully describes the U(5)-O(6) transition in studied isotopes.

Calculated energy spectra and B(E2) values agree with experimental data.

Nuclear supersymmetry can be applied beyond dynamical symmetry limits.

Abstract

Solvable supersymmetric algebraic model for descriptions of the spherical to gama unstable shape- phase transition in even and odd mass nuclei is proposed. This model is based on dual algebraic structure and Richardson - Gaudin method, where the duality relations between the unitary and quasispin algebraic structures for the boson and fermion systems are extended to mixed boson- fermion system. The structure of two type of nuclear supersymmetry schemes, based on the U(6/2) and U(6/4) supergroups, is discussed. We investigate the change in level structure induced by the phase transition by doing a quantal analysis. By using the generalized quasispin algebra, it is shown that the nuclear supersymmetry concept can be also used for transitional regions in addition to dynamical symmetry limits. Experimental evidence for the U(5)-O(6) transition in Ru-Rh and Zn- Cu supermultiplets is presented. The low-states energy spectra and B(E2)values for these nuclei have been calculated and compared with the experimental data.