Application of the Dyson-type non-unitary representation of the self-consistent collective-coordinate method to simple models (II). O(4) Model

1988 ◽  
Vol 486 (2) ◽  
pp. 221-234 ◽  
Author(s):  
H. Thorn ◽  
Y.R. Shimizu ◽  
K. Takada
Keyword(s):  
Unitary Representation ◽  
The Self ◽  
Coordinate Method ◽  
Self Consistent ◽  
Collective Coordinate ◽  
Simple Models

MICROSCOPIC APPROACH TO ADIABATIC LARGE-AMPLITUDE QUADRUPOLE COLLECTIVE DYNAMICS IN Se ISOTOPES

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1796-1799 ◽  
Author(s):  
NOBUO HINOHARA ◽  
KOICHI SATO ◽  
TAKASHI NAKATSUKASA ◽  
MASAYUKI MATSUO
Keyword(s):  
Large Amplitude ◽  
Shape Coexistence ◽  
Microscopic Approach ◽  
Microscopic Method ◽  
Coordinate Method ◽  
Prolate Shape ◽  
Anharmonic Vibrations ◽  
Self Consistent ◽  
Collective Coordinate ◽  
Collective Hamiltonian

We develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian on the basis of the adiabatic self-consistent collective coordinate method. We illustrate its usefulness by applying it to the oblate-prolate shape coexistence/mixing phenomena and anharmonic vibrations in Se isotopes.

scholarly journals DESCRIPTION OF THE SUPERDEFORMED BAND OF 36Ar WITH THE GOGNY FORCE

2004 ◽  
Vol 13 (01) ◽  
pp. 139-146 ◽  
Author(s):  
R. R. RODRÍGUEZ-GUZMÁN ◽  
J. L. EGIDO ◽  
L. M. ROBLEDO
Keyword(s):  
Angular Momentum ◽  
Transition Probabilities ◽  
Band Head ◽  
The Self ◽  
Superdeformed Band ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate ◽  
Self Consistent ◽  
Energy Moments

The superdeformed band of 36 Ar is studied with the Gogny force D1S and the angular momentum projected generator coordinate method for the quadrupole moment. The band head excitation energy, moments of inertia, B(E2) transition probabilities and stability against quadrupole fluctuations at low spin are studied. The Self Consistent Cranking method is also used to describe the superdeformed rotational band. In addition, properties of some normal deformed states are discussed.

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