Distinguishing a first order from a second order nuclear shape phase transition in the interacting boson model

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
Yu Zhang ◽  
Zhan-feng Hou ◽  
Yu-xin Liu
Keyword(s):  
Phase Transition ◽  
Second Order ◽  
Nuclear Shape ◽  
Interacting Boson Model ◽  
First Order ◽  
Boson Model ◽  
Shape Phase Transition ◽  
Nuclear Shape Phase Transition

scholarly journals Line of approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Model

2020 ◽  
Vol 19 ◽  
pp. 16
Author(s):  
D. Bonatsos ◽  
S. Karampagia ◽  
R. F. Casten
Keyword(s):  
Phase Transition ◽  
Critical Line ◽  
Interacting Boson Model ◽  
Rigid Rotator ◽  
Symmetry Line ◽  
First Order ◽  
Boson Number ◽  
Boson Model ◽  
Shape Phase Transition ◽  
First Time

The U(5), SU(3), and O(6) symmetries of the Interacting Boson Model (IBM) have been traditionally placed at the vertices of the symmetry triangle, while an O(5) symmetry is known to hold along the U(5)–O(6) side of the triangle. We construct [1] for the first time a symmetry line in the interior of the triangle, along which the SU(3) symmetry is preserved. This is achieved by using the contraction of the SU(3) algebra to the algebra of the rigid rotator in the large boson number limit of the IBM. The line extends from the SU(3) vertex to near the critical line of the first order shape/phase transition separating the spherical and prolate deformed phases. It lies within the Alhassid–Whelan arc of regularity, the unique valley of regularity connecting the SU(3) and U(5) vertices amidst chaotic regions, thus providing an explanation for its existence.

ROTATIONAL DRIVEN NUCLEAR SHAPE PHASE TRANSITION OF THE YRAST STATES OF INDIVIDUAL NUCLEUS IN INTERACTING BOSON MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1711-1721 ◽  
Author(s):  
YUE ZHAO ◽  
YANG LIU ◽  
LIANG-ZHU MU ◽  
YU-XIN LIU
Keyword(s):  
Phase Transition ◽  
Angular Momentum ◽  
Interaction Parameters ◽  
Interacting Boson Model ◽  
Angular Momentum Projection ◽  
Prolate Shape ◽  
Boson Model ◽  
Shape Phase Transition ◽  
Nuclear Shape Phase Transition ◽  
Special Region

With the intrinsic coherent state formalism and the angular momentum projection, we study the shape phase structure of the yrast states in the dynamical symmetries of the IBM. We found that the states in the U (5) symmetry can undergo a rotation driven vibrational to axially rotational shape phase transition if the interaction parameters take negative values smaller than the critical ones. It shows that the U (5) symmetry of the IBM1 is an appropriate approach to describe the rotation driven shape phase transition along the yrast line of individual nucleus as the interaction parameters are taken in a special region. The O (6) symmetric yrast states may involve a phase transition from γ-soft rotation to triaxial rotation as the angular momentum increases, if the interaction parameters are specially chosen. And the yrast states in SU (3) symmetry always appear in the axially prolate shape phase.

scholarly journals Nuclear shape phase transition SU(3)→U(5)→SU(3) of the yrast-band structure in 182Os from nucleonic order

2010 ◽  
Vol 59 (5) ◽  
pp. 3136
Author(s):  
Tong Hong ◽  
Zhang Chun-Mei ◽  
Shi Zhu-Yi ◽  
Wang Hong ◽  
Ni Shao-Yong
Keyword(s):  
Phase Transition ◽  
Band Structure ◽  
Nuclear Shape ◽  
Yrast Band ◽  
Shape Phase Transition ◽  
Nuclear Shape Phase Transition

scholarly journals Connecting the X(5)-β2, X(5)-β4, and X(3) models to the shape/phase transition region of the Interacting Boson Model

2020 ◽  
Vol 15 ◽  
pp. 118
Author(s):  
E. A. McCutchan ◽  
D. Bonatsos ◽  
R. F. Casten
Keyword(s):  
Phase Transition ◽  
Transition Region ◽  
Interacting Boson Model ◽  
Shape Transition ◽  
Scale Factors ◽  
Phase Transition Region ◽  
Boson Model ◽  
Shape Phase Transition ◽  
Two Parameter ◽  
Boson Approximation

The parameter independent (up to overall scale factors) predictions of the X(5)-β2, X(5)-β4, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two- parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). 186Pt and 172Os are identified as good examples of X(3), while 146Ce, 174Os and 158Er, 176Os are identified as good examples of X(5)-β2 and X(5)-β4 behavior respectively.

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