Resolution of Any Interacting-Boson-Model Hamiltonian into Intrinsic and Collective Parts

1986 ◽  
Vol 56 (7) ◽  
pp. 788-788
Author(s):  
Michael W. Kirson ◽  
Amiram Leviatan
Keyword(s):  
Interacting Boson Model ◽  
Model Hamiltonian ◽  
Boson Model

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.

Microscopic calculation of the effects of the g boson on the interacting boson model Hamiltonian

1982 ◽  
Vol 26 (2) ◽  
pp. 668-679 ◽  
Author(s):  
Keith A. Sage ◽  
Philip R. Goode ◽  
Bruce R. Barrett
Keyword(s):  
Interacting Boson Model ◽  
Microscopic Calculation ◽  
Model Hamiltonian ◽  
Boson Model

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 F-SPIN STRUCTURE OF THE NEUTRON-PROTON INTERACTING BOSON MODEL: HAMILTONIAN AND ELECTROMAGNETIC OPERATORS

1989 ◽  
Vol 04 (14) ◽  
pp. 3665-3688 ◽  
Author(s):  
C. DE COSTER ◽  
K. HEYDE
Keyword(s):  
Degrees Of Freedom ◽  
Spin Structure ◽  
Spin Symmetry ◽  
Tensor Rank ◽  
Interacting Boson Model ◽  
Electromagnetic Transition ◽  
Model Hamiltonian ◽  
Formal Procedure ◽  
Transition Matrix Elements ◽  
Boson Model

We study the F-spin structure of a general proton-neutron interacting boson model Hamiltonian and of the corresponding electromagnetic operators, using a separation into parts which are symmetric and antisymmetric under the interchange of proton and neutron degrees of freedom. We also use a formal procedure in which we couple proton and neutron operators to a given F-tensor rank. We deduce conditions of F-spin symmetry and F-spin invariance for the Hamiltonian, as well as selection rules for electromagnetic transition matrix elements. We use first order perturbation theory to obtain the (F, Fz)-dependence of the energy and wave functions, when F-vector and F-tensor (rank 2) parts are added to an “unperturbed” Hamiltonian, which is F-spin invariant.

scholarly journals Microscopic generalization of the standard interacting boson model Hamiltonian in the restricted dynamics approach

1996 ◽  
Vol 22 (3) ◽  
pp. 331-349
Author(s):  
J A Castilho Alcarás ◽  
J Tambergs ◽  
J Ruza ◽  
T Krasta ◽  
O Katkevicius
Keyword(s):  
Interacting Boson Model ◽  
Model Hamiltonian ◽  
Boson Model
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