scholarly journals γ-rigid solution of the Bohr Hamiltonian for γ=30° compared to the E(5) critical point symmetry

2005 ◽  
Vol 621 (1-2) ◽  
pp. 102-108 ◽  
Author(s):  
Dennis Bonatsos ◽  
D. Lenis ◽  
D. Petrellis ◽  
P.A. Terziev ◽  
I. Yigitoglu
Keyword(s):  
Critical Point ◽  
Point Symmetry ◽  
Rigid Solution

scholarly journals γ-rigid solution of the Bohr Hamiltonian compared to the E(5) critical point symmetry

2019 ◽  
Vol 14 ◽  
pp. 71
Author(s):  
Dennis Bonatsos ◽  
D. Lenis ◽  
D. Petrellis ◽  
P. Terziev ◽  
I. Yigitoglu
Keyword(s):  
Critical Point ◽  
Ground State ◽  
Close Agreement ◽  
Point Symmetry ◽  
Transition Rates ◽  
Ground State Band ◽  
Scale Factors ◽  
State Band ◽  
Euclidean Algebra ◽  
Rigid Solution

A γ-rigid solution of the Bohr Hamiltonian for 7 = 30° is derived, its ground state band being related to the second order Casimir operator of the Euclidean algebra E(4). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are in close agreement to the E (5) critical point symmetry, as well as to experimental data in the Xe region around A = 130.

Comparison of the E(5) Critical Point Symmetry to the γ-Rigid Solution of The Bohr Hamiltonian for γ =30°

2007 ◽  
Author(s):  
D. Bonatsos ◽  
D. Lenis ◽  
D. Petrellis ◽  
P. A. Terziev ◽  
I. Yigitoglu
Keyword(s):  
Critical Point ◽  
Point Symmetry ◽  
Rigid Solution

EVIDENCE FOR X(5) CRITICAL POINT SYMMETRY IN 128Ce

2006 ◽  
Vol 15 (08) ◽  
pp. 1735-1740 ◽  
Author(s):  
D. L. BALABANSKI ◽  
K. A. GLADNISHKI ◽  
G. LO BIANCO ◽  
A. SALTARELLI ◽  
N. V. ZAMFIR ◽  
...  
Keyword(s):  
Critical Point ◽  
Nuclear Structure ◽  
Excited States ◽  
Ground State ◽  
Doppler Shift ◽  
Point Symmetry ◽  
Yale University ◽  
Doppler Shift Attenuation ◽  
Recoil Distance ◽  
Predicted Values

Lifetimes of excited states in 128 Ce were measured using the recoil distance Doppler-shift (RDDS) and the Doppler-shift attenuation (DSAM) methods. The experiments were performed at the Wright Nuclear Structure Laboratory of Yale University. Excited states of 128 Ce were populated in the 100 Mo (32 Si ,4 n ) reaction at 120 MeV and the nuclear γ decay was measured with an array of eight Clover detectors positioned at forward and backward angles. The deduced yrast transition strengths together with the energies of the levels within the ground-state (gs) band of 128 Ce are in agreement with the predicted values for the X (5) critical point symmetry. Thus, we suggest 128 Ce as a benchmark X (5) nucleus in the mass A ≈ 130 region.

Quantum phase transition in the U(2) vibron model and the critical point symmetry

2014 ◽  
Vol 44 (5) ◽  
pp. 501-505
Author(s):  
Jia XU ◽  
ShengXin LI ◽  
Yang AN ◽  
Yun ZHAO ◽  
DongQi YU ◽  
...  
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Point Symmetry

Transition probabilities inGd154: Evidence for X(5) critical point symmetry

2004 ◽  
Vol 69 (3) ◽  
Author(s):  
D. Tonev ◽  
A. Dewald ◽  
T. Klug ◽  
P. Petkov ◽  
J. Jolie ◽  
...  
Keyword(s):  
Critical Point ◽  
Transition Probabilities ◽  
Point Symmetry

B(E2)Values inN150dand the Critical Point Symmetry X(5)

2002 ◽  
Vol 88 (23) ◽  
Author(s):  
R. Krücken ◽  
B. Albanna ◽  
C. Bialik ◽  
R. F. Casten ◽  
J. R. Cooper ◽  
...  
Keyword(s):  
Critical Point ◽  
Point Symmetry
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