Abstract
The prolate-oblate shape phase transition in the the interacting boson model is revisited by adopting the transitional Hamiltonian with a linear dependence on the control parameter. The analysis of the shape phase transition in both the large-N limit and finite N case shows that the O(6) symmetry is robust as the critical point symmetry of the prolate-oblate shape phase transition.
Highlights
Shape phase transitions in nuclei have attracted a lot of interest from both experimental and theoretical perspectives [1, 2, 3]
Various nuclear shape phase transitions can be explored within the transitional patterns among different symmetries in the interacting boson model (IBM)
The phase transition from spherical to axially deformed shape is characterized as the U(5)-SU(3) transition; the phase transition from spherical to the γ-soft motion is described by the U(5)-O(6) transition; and the phase transition from prolate to oblate shape is often described by the SU(3)-O(6)-SU(3) transition [5, 6, 7, 8], in which the prolate and oblate phase are described by the SU(3) and SU(3) symmetry limit respectively, and the O(6) symmetry limit emerges exactly at the critical point since the traditional Hamiltonian is designed to pass the O(6) limit via a nonlinear dependence on the control parameter [5]
Summary
Shape phase transitions in nuclei have attracted a lot of interest from both experimental and theoretical perspectives [1, 2, 3]. We will investigate the prolate-oblate shape phase transition in the IBM by considering the Hamiltonian with a linear dependence on the control parameter to test the validity of the O(6) dynamics from a more general phase transitional perspective. The prolateoblate shape phase transition can be described with the SU(3)-O(6)-SU(3) transition in the IBM To realize such a transitional dynamics, Jolie et al suggest a simple Hamiltonian [5, 6, 7] written as. We will revisit the prolateoblate shape phase transition in the IBM within a more
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