scholarly journals Disentangling phase transitions and critical points in the proton–neutron interacting boson model by catastrophe theory

2014 ◽  
Vol 736 ◽  
pp. 333-338 ◽  
Author(s):  
J.E. García-Ramos ◽  
J.M. Arias ◽  
J. Dukelsky
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Catastrophe Theory ◽  
Interacting Boson Model ◽  
Boson Model

scholarly journals Nuclear phase transitions near the critical points: a study with the Relativistic Hartree-Bogoliubov model, the Interacting Boson Model and the Boson Coherent-State Framework

2020 ◽  
Vol 15 ◽  
pp. 136
Author(s):  
R. Fossion
Keyword(s):  
Phase Transitions ◽  
Coherent State ◽  
Analytical Solutions ◽  
Critical Points ◽  
Potential Energy Surfaces ◽  
Transfer Reactions ◽  
Interacting Boson Model ◽  
Boson Model ◽  
Nuclear Phase ◽  
Energy Surfaces

We present an analysis of the intensity of 2-particle transfer reactions in the Interacting Boson Model (IBM), and in the Boson Coherent-State framework, as a tool to study nuclear phase transitions. We study transfer reactions between two ground states, and between the ground state and the band head of the beta-vibrational band. We suggest characteristic fingerprints that should allow experimentalists to identify the critical points of the nuclear phase transition. Two analytical solutions, X(5) and E(5), have been proposed recently for two of the critical points. We present a study within the Relativistic Hartree-Bogoliubov model (RHB), using Potential-Energy Surfaces (PES), to test whether the initial approximations made in deriving the analytical solutions are valid.

ODD NUCLEI AND SHAPE PHASE TRANSITIONS: THE ROLE OF THE UNPAIRED FERMION

2011 ◽  
Vol 20 (02) ◽  
pp. 207-212 ◽  
Author(s):  
L. FORTUNATO ◽  
C.E. ALONSO ◽  
J.M. ARIAS ◽  
M. BÖYÜKATA ◽  
A. VITTURI
Keyword(s):  
Phase Transitions ◽  
Energy Spectrum ◽  
Critical Points ◽  
Quantum Systems ◽  
Interacting Boson Model ◽  
Fermion Model ◽  
Finite Quantum Systems ◽  
Boson Model ◽  
Spherical Limit

Shape phase transitions in even and odd systems are reviewed within the frameworks of the Interacting Boson Model(IBM) and the Interacting Boson Fermion Model(IBFM), respectively and compared with geometric models when available. We discuss, in particular, the case of an odd j = 3/2 particle coupled to an even-even boson core that undergoes a transition from the spherical limit U(5) to the γ-unstable limit O(6). Energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core and they agree qualitatively with the model based on the E (5/4) boson-fermion symmetry. We describe then the UBF(5) to SUBF(3) transition when a fermion is allowed to occupy the orbits j = 1/2, 3/2, 5/2. The additional particle characterizes the properties at the critical points in finite quantum systems.

scholarly journals Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

2001 ◽  
Vol 688 (3-4) ◽  
pp. 735-754 ◽  
Author(s):  
J.E. García-Ramos ◽  
C. De Coster ◽  
R. Fossion ◽  
K. Heyde
Keyword(s):  
Phase Transitions ◽  
Binding Energies ◽  
Interacting Boson Model ◽  
Boson Model

Phase transitions and the geometric properties of the interacting boson model

1981 ◽  
Vol 23 (3) ◽  
pp. 1254-1258 ◽  
Author(s):  
Da Hsuan Feng ◽  
Robert Gilmore ◽  
S. R. Deans
Keyword(s):  
Phase Transitions ◽  
Interacting Boson Model ◽  
Geometric Properties ◽  
Boson Model

scholarly journals Phase transitions in the sdg interacting boson model

2010 ◽  
Vol 836 (3-4) ◽  
pp. 225-241 ◽  
Author(s):  
P. Van Isacker ◽  
A. Bouldjedri ◽  
S. Zerguine
Keyword(s):  
Phase Transitions ◽  
Interacting Boson Model ◽  
Boson Model

Phase transitions in an interacting boson model with near-neighbor repulsion

1994 ◽  
Vol 50 (1) ◽  
pp. 362-373 ◽  
Author(s):  
Parhat Niyaz ◽  
R. T. Scalettar ◽  
C. Y. Fong ◽  
G. G. Batrouni
Keyword(s):  
Phase Transitions ◽  
Near Neighbor ◽  
Interacting Boson Model ◽  
Boson Model
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