Eur. Phys. J. Plus (2014) 129: 138
https://doi.org/10.1140/epjp/i2014-14138-7

Regular Article

A theoretical study of energy spectra and two-neutron separation energies of ^106–122Cd isotopes in the transitional region of IBM

Department of Physics, University of Tabriz, 51664, Tabriz, Iran

^* e-mail: h-sabri@tabrizu.ac.ir

Received: 22 January 2014
Revised: 29 May 2014
Accepted: 29 May 2014
Published online: 26 June 2014

Abstract

In this paper, by using a transitional interacting boson model Hamiltonian, which is based on affine SU(1,1) Lie algebra, the evolution from spherical to deformed shapes along the chain of Cd isotopes, describing at the same time the excitation energies, B(E2) transition rates as well as the two-neutron separation energies, can be rather well reproduced. The interplay between phase transitions and configuration mixing of intruder excitations in this mass region is succinctly addressed and it also proposes ¹¹⁴Cd and ¹²²Cd isotopes as the best candidates for E(5) critical symmetry.