Study of 100-106Ru isotopic chain in the three levels interacting boson model

In this paper, we have considered the energy levels and energy surfaces of nuclei located between the spherical and the gamma soft shapes. We have used a three levels spd-interacting boson model which are defined in the affine SU(1,1) algebra to describe both positive and negative parity states. The energy surfaces of 100-106Ru isotopes are determined via catastrophe theory and coherent states formalism in the U(5)-SO(9) transitional region of interacting boson model. The agreement between the theoretical prediction of model and the most recent experimental counterparts is acceptable. Also, the variation of the energy surface’s shapes suggest a second order shape phase transition in this isotopic chain. The values of the control parameters and also the shape of energy surfaces suggest 100Ru as the best candidate for the critical point of this transitional region.