Analytic formulae for interacting boson model matrix elements in the SU(3) basis

1990 ◽  
Vol 41 (2) ◽  
pp. 730-735 ◽  
Author(s):  
G. Rosensteel
Keyword(s):  
Interacting Boson Model ◽  
Matrix Elements ◽  
Model Matrix ◽  
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.

scholarly journals Proton Inelastic Scattering in the Interacting Boson Model: Formalism and Application to the Ge Isotopes

1984 ◽  
Vol 37 (5) ◽  
pp. 463 ◽  
Author(s):  
W Bauhoff ◽  
I Morrison
Keyword(s):  
Inelastic Scattering ◽  
Interacting Boson Model ◽  
Symmetric Model ◽  
Proton Scattering ◽  
Matrix Elements ◽  
Proton Inelastic Scattering ◽  
Inelastic Proton Scattering ◽  
Boson Model ◽  
Coupled Channel ◽  
Model Formalism

The application of the interacting boson model to the coupled channel description of inelastic proton scattering is studied. The radial shape of the transition potentials is determined by analogy to the usual geometrical models, whereas the reduced matrix elements are calculated from the boson Hamiltonian. The general formalism is applied to scattering from the Ge isotopes. We find a better description for the heavier isotopes in terms of an O(6)-symmetric model than for a vibrational model.

Calculation of neutrinoless double decay matrix elements in the Interacting Boson Model

2009 ◽  
Author(s):  
J. Barea ◽  
Osvaldo Civitarese ◽  
Ivan Stekl ◽  
Jouni Suhonen
Keyword(s):  
Interacting Boson Model ◽  
Matrix Elements ◽  
Boson Model

Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

2020 ◽  
pp. 149-152
Keyword(s):  
Experimental Data ◽  
Transition Probability ◽  
Energy Levels ◽  
Dynamical Symmetry ◽  
Interacting Boson Model ◽  
Excitation Energies ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Energy States ◽  
Good Agreement

The energy states for the J , b , ɤ bands and electromagnetic transitions B (E2) values for even – even molybdenum 90 – 94 Mo nuclei are calculated in the present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using IBS1. for program for even 90 – 94 Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared with the experimental data . The ratio of the excitation energies of the 41+ to 21+ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the 90 – 94 Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between the calculated energy states and electric quadruple probabilities B(E2) transition of the 90–94Mo isotopes with the experimental data .

scholarly journals Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila
Keyword(s):  
Beta Decay ◽  
Single Particle ◽  
Field Potential ◽  
Double Beta Decay ◽  
Interacting Boson Model ◽  
Model Calculations ◽  
Single Particle Level ◽  
Particle Level ◽  
Boson Model

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

scholarly journals Octupole correlations in light actinides from the interacting boson model based on the Gogny energy density functional

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
K. Nomura ◽  
R. Rodríguez-Guzmán ◽  
Y. M. Humadi ◽  
L. M. Robledo ◽  
J. E. García-Ramos
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Interacting Boson Model ◽  
Energy Density Functional ◽  
Model Based ◽  
Boson Model
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