Recognition of SU(3)→O(6) Quantum Phase Transition in Groundstates of 156Gd Nucleus within Microscopic Theory
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Abstract
The γray energy over spin curves identifies that there are the SU(3) and O(6) symmetries in the groundstates of the 156Gd nucleus; by means of the microscopic sdIBMmax approach and signalparticle experimental energies the spectra of those two symmetries and their transient process are successfully reproduced through two parameters of nucleonnucleon effective interaction with pairing plus quadrupole pairing plus quadrupolequadrupole forces. The calculated results reveal a new way to recognize groundstates quantum phase transition, in which the basicstate of the SU(3) symmetry is a lowlying and lowordered state, while one of the O(6) are a highlying and highordered state, their critical region is between 6+1—8+1 states, the highordered basicstate releases spare orderedstructure energy, reducing rotationspeed, thus causing the restructure of lowordered basicstate and accomplishing the quantum phase transition from the highordered phase into the lowordered phase, the shape phase transition takes place along the yrast line of nucleus when it deexcited to the critical region. Because the structural phase transition takes place by noobvious charge of boson structure constants in the critical region it is a benignancy and calm transition with respect to its macroscopic behave. The potential energy surface of 156Gd nucleus has been illustrated to visualize.
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