The prolate-oblate shape phase transition in the interacting boson model
نویسندگان
چکیده
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.
منابع مشابه
Quantum phase transitions in the consistent-Q Hamiltonian of the interacting boson model
Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the interacting boson model are studied based on an implemented Fortran code for the numerical computation of the matrix elements in the SU(3) Draayer–Akiyama basis. Results with respect to both ground and some excited states of the model Hamiltonian are discussed. Quantum phase transitional beha...
متن کامل2 N ov 2 00 7 Rotation - driven prolate - to - oblate shape phase transition in 190 W : A projected shell model study ⋆
A shape phase transition is demonstrated to occur in W by applying the Projected Shell Model, which goes beyond the usual mean-field approximation. Rotation alignment of neutrons in the high-j, i13/2 orbital drives the yrast sequence of the system, changing suddenly from prolate to oblate shape at angular momentum 10~. We propose observables to test the picture.
متن کاملCriticality in the configuration-mixed Interacting Boson Model: (2) Q̂(χ1)Q̂(χ1)-Q̂(χ2)Q̂(χ2) mixing
The case of Q̂(χ1) · Q̂(χ1)-Q̂(χ2) · Q̂(χ2) mixing in the interacting boson model is studied within its mean-field approximation. It is shown that the criticality conditions lead to two classes of solutions and that χ1 and χ2 need to have an opposite sign to allow for prolate-oblate shape coexistence. No evidence for a stable triaxial minimum is found. Phase diagrams for selected cases have been co...
متن کاملProlate non-collective-A rare shape phase in high spin state proton emitters 141–144Ho and 131–135Eu
Structural transitions in high spin states of deformed odd Z proton emitters Ho and Eu are studied in a theoretical framework using the deformed Nilsson potential and Strutinsky’s prescription combined with statistical theory of hot rotating nuclei. These proton emitters are found to exhibit shape transition to a rare prolate non-collective shape phase in excited high spin state which is caused...
متن کامل- th / 0 50 50 18 v 1 6 M ay 2 00 5 Shape Phase Transition of the States Between the U ( 5 ) and SU ( 3 ) Symmetries and with Certain Angular Momentum
The shape phase structure and its transition of the nucleus in the transitional region between the U(5) and SU(3) symmetries is restudied within the framework of coherent-state theory with angular momentum projection in IBM-1. A phase diagram in terms of the deformation parameter and angular momentum is given. The certain angular momentum (or rotation-driven ) effect on the nuclear shape is dis...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013