An Affine SU(1,1)Description of Even-Even Cd (106-122) Isotopes in the Transitional Region of IBM

TL;DR

This paper models the properties of Cd isotopes in the transitional region of the IBM using affine SU(1,1) algebra, successfully predicting energy levels and transition rates that indicate shape transitions and critical symmetry candidates.

Contribution

It introduces an affine SU(1,1)-based Hamiltonian to describe Cd isotopes in the IBM framework, providing a new algebraic approach for transitional nuclei.

Findings

Energy levels and B(E2) transition rates agree with experimental data.

Evidence of spherical to gamma-soft shape transitions in Cd isotopes.

Identification of Cd-114 and Cd-122 as E(5) critical symmetry candidates.

Abstract

In this paper, the properties of Cd(106-122)isotopes are considered in the U(5)-SO(6)transitional region of IBM1. With employing a transitional Hamiltonian which is based on affine SU(1,1)Lie Algebraic technique, the energy levels and B(E2)transition rates are calculated. The results are compared with the most recent experimental values where an acceptable degree of agreement is achieved. Also, the energy ratios, control parameters and empirical two neutron separation energies suggest spherical to gamma soft shape transitions in these nuclei where the Cd (114,122)nuclei are considered as the best candidates for the E(5)critical symmetry.