scholarly journals A Democratic Mapping between the Shell Model and the IBM

2020 ◽  
Vol 1 ◽  
pp. 115
Author(s):  
L. D. Skouras ◽  
P. Van Isacker ◽  
M. A. Nagarajan
Keyword(s):  
Shell Model ◽  
Interacting Boson Model ◽  
Mapping Technique ◽  
Model Data ◽  
Model Hamiltonian ◽  
Boson Model ◽  
Overlap Matrix

A method is proposed to connect states of the shell model and the interacting boson model and derive the boson model hamiltonian from shell-model data. This novel mapping technique is based on the properties of the shell-model overlap matrix. An application to the /7/2 shell is presented and the results of the new mapping are compared with the standard OAI results.

THE SD-PAIR SHELL MODEL AND INTERACTING BOSON MODEL

2011 ◽  
Author(s):  
YAN-AN LUO ◽  
FU-YONG WANG ◽  
FENG PAN ◽  
JERRY P. DRAAYER ◽  
PING-ZHI NING
Keyword(s):  
Shell Model ◽  
Interacting Boson Model ◽  
Boson Model

Simple Models of Complex Nuclei: The Shell Model and Interacting Boson Model

Physics Today ◽  
1994 ◽  
Vol 47 (2) ◽  
pp. 102-104 ◽  
Author(s):  
Igal Talmi ◽  
Bruce R. Barrett
Keyword(s):  
Shell Model ◽  
Interacting Boson Model ◽  
Boson Model ◽  
Simple Models ◽  
Complex Nuclei

QUANTUM PHASE TRANSITIONAL BEHAVIOR IN THE EXTENDED CASTEN TRIANGLE OF THE INTERACTING BOSON MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1723-1733 ◽  
Author(s):  
FENG PAN ◽  
TAO WANG ◽  
Y.-S. HUO ◽  
J. P. DRAAYER
Keyword(s):  
Excited States ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Matrix Elements ◽  
Fortran Code ◽  
Model Hamiltonian ◽  
Transitional Behavior ◽  
The Matrix ◽  
Boson Model ◽  
Shape Phase Transition

Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the Interacting Boson Model are studied based on an implemented Fortran code for numerical computation of the matrix elements in the SU (3) Draayer-Akiyama basis. Results with respect to both ground and some excited states of the model Hamiltonian are discussed. Quantum phase transitional behavior under a variety of parameter situations is shown. It is found that transitional behavior of excited states is more complicated. Pt isotopes are taken as examples in illustrating the prolate-oblate shape phase transition.

scholarly journals Microscopic Foundations of the Interacting Boson Model from the Shell-Model Point of View

2013 ◽  
Vol 125 (0) ◽  
pp. 65-95
Author(s):  
N. Yoshinaga ◽  
T. Mizusaki ◽  
A. Arima ◽  
Y. D. Devi
Keyword(s):  
Shell Model ◽  
Point Of View ◽  
Interacting Boson Model ◽  
Boson Model ◽  
Model Point
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