Energy surfaces of 100–106Ru isotopes in the U(5)↔SO(9) transitional region

Abstract

The critical behavior of 100–106Ru isotopes is investigated in the U(5)↔SO(9) transitional region of the spd-interacting boson model. We have developed a solvable extended transitional Hamiltonian based on affine SU(1,1) Lie algebra within the framework of the spd-interacting boson model. Also, we have used the catastrophe theory in combination with coherent state formalism to generate the energy surfaces of considered isotopes. The parameters of the transitional Hamiltonian are determined via Least-Square Fitting (LSF) to the experimental data of Ru isotopes to describe both positive and negative parity states and also E(1) and E(2) transition probabilities. Results describe experimental counterparts with satisfactory degrees of agreement and also suggest 100Ru as the best candidate for the critical point of this transitional region.