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

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