Deformation in 92−128Pd isotopes

The purpose of the study further explores the quadrupole transition rates and effective deformation within the framework of a simple interacting boson model to the Pd isotopic chain. We used the spherical U(5) and deformed O(6) dynamical symmetry limits. Results indicate a significant relationship between the effective quadrupole deformation values and effective boson charge. Results suggest that 106Pd is a good candidate for the E(5) critical point of the U(5)-O(6) shape phase transitional region and also has the largest variation of the quadrupole shape constants. A close relationship between the ground- and excited-state quantum phase transitions is found, as evidenced by the ratios of different energy levels.