Quantum phase transitional patterns in the SD-pair shell model

Abstract

Patterns of shape-phase transition in the proton-neutron coupled systems are studied within the $SD$-pair shell model. The results show that some transitional patterns in the $SD$-pair shell model are similar to the $U(5)-SU(3)$, $U(5)-SO(6)$ transitions with signatures of the critical point symmetry of the interacting boson model.

13 pages, 7 figures

References in corpus (12)

• Partial Dynamical Symmetry in Deformed Nuclei
• Quasi dynamical symmetry in an interacting boson model phase transition
• Phase structure of the two-fluid proton-neutron system
• Singular Character of Critical Points in Nuclei
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• Phase Diagram of the Proton-Neutron Interacting Boson Model
• Generalized Partial Dynamical Symmetry in Nuclei
• An exactly solvable model of a superconducting to rotational phase transition
• Thermodynamic analogy for quantum phase transitions at zero temperature
• Critical-Point Symmetry in a Finite System
• General pairing interactions and pair truncation approximations for fermions in a single-j shell

Cited by in corpus (4)

• Nucleons pair shell model in M-scheme
• Nuclear shape transitions, level density, and underlying interactions
• Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions
• Quantum phase transitions and collective enhancement of level density in odd-A and odd-odd nuclei