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Particle number scale invariant feature of the states around the critical point of the first order nuclear shape phase transition
Authors:Yu Zhang   ZhanFeng Hou  YuXin Liu
Affiliation:ZHANG Yu1,HOU ZhanFeng1 & LIU YuXin1,2 1 Department of Physics , State Key Laboratory of Nuclear Physics , Technology,Peking University,Beijing 100871,China,2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000
Abstract:
We study systematically the evolutive behaviors of some energy ratios,E2 transition rate ratios and isomer shift in the nuclear shape phase transitions.We find that the quantities sensitive to the phase transition and independent of free parameter(s) are approximately particle number N scale invariant around the critical point of the first order phase transition,similar to that in the second order phase transition.
Keywords:nuclear shape phase transition  critical point  particle number scaling behavior  interacting boson model  
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