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

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.

Download Full-text

Z(4): γ-RIGID SOLUTION OF THE BOHR HAMILTONIAN FOR γ = 30° COMPARED TO THE E(5) CRITICAL POINT SYMMETRY

Exotic Nuclei and Nuclear/Particle Astrophysics ◽

10.1142/9789812772862_0050 ◽

2006 ◽

Author(s):

DENNIS BONATSOS ◽

D. LENIS ◽

D. PETRELLIS ◽

P. A. TERZIEV ◽

I. YIGITOGLU

Keyword(s):

Critical Point ◽

Point Symmetry ◽

Rigid Solution

Download Full-text

Z(4): γ-rigid Solution of the Bohr Hamiltonian for γ = 30° Compared to the E(5) Critical Point Symmetry

10.1063/1.2200967 ◽

2006 ◽

Author(s):

D. Bonatsos

Keyword(s):

Critical Point ◽

Point Symmetry ◽

Rigid Solution

Download Full-text

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

Physics Letters B ◽

10.1016/j.physletb.2005.06.047 ◽

2005 ◽

Vol 621 (1-2) ◽

pp. 102-108 ◽

Cited By ~ 63

Author(s):

Dennis Bonatsos ◽

D. Lenis ◽

D. Petrellis ◽

P.A. Terziev ◽

I. Yigitoglu

Keyword(s):

Critical Point ◽

Point Symmetry ◽

Rigid Solution

Download Full-text

Z(5): CRITICAL POINT SYMMETRY FOR THE PROLATE TO OBLATE SHAPE PHASE TRANSITION

Key Topics in Nuclear Structure ◽

10.1142/9789812702265_0037 ◽

2005 ◽

Author(s):

DENNIS BONATSOS ◽

D. LENIS ◽

D. PETRELLIS ◽

P. A. TERZIEV

Keyword(s):

Phase Transition ◽

Critical Point ◽

Point Symmetry ◽

Oblate Shape ◽

Shape Phase Transition

Download Full-text

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

International Journal of Modern Physics E ◽

10.1142/s0218301306005538 ◽

2006 ◽

Vol 15 (08) ◽

pp. 1735-1740 ◽

Cited By ~ 5

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.

Download Full-text