A microscopic approach to a foundation of the Interacting Boson Model by using angular momentum projection

1984 ◽  
Vol 143 (1-3) ◽  
pp. 5-9 ◽  
Author(s):  
Naotaka Yoshinaga ◽  
Akito Arima ◽  
Takaharu Otsuka
Keyword(s):  
Angular Momentum ◽  
Interacting Boson Model ◽  
Microscopic Approach ◽  
Angular Momentum Projection ◽  
Boson Model

ROTATIONAL DRIVEN NUCLEAR SHAPE PHASE TRANSITION OF THE YRAST STATES OF INDIVIDUAL NUCLEUS IN INTERACTING BOSON MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1711-1721 ◽  
Author(s):  
YUE ZHAO ◽  
YANG LIU ◽  
LIANG-ZHU MU ◽  
YU-XIN LIU
Keyword(s):  
Phase Transition ◽  
Angular Momentum ◽  
Interaction Parameters ◽  
Interacting Boson Model ◽  
Angular Momentum Projection ◽  
Prolate Shape ◽  
Boson Model ◽  
Shape Phase Transition ◽  
Nuclear Shape Phase Transition ◽  
Special Region

With the intrinsic coherent state formalism and the angular momentum projection, we study the shape phase structure of the yrast states in the dynamical symmetries of the IBM. We found that the states in the U (5) symmetry can undergo a rotation driven vibrational to axially rotational shape phase transition if the interaction parameters take negative values smaller than the critical ones. It shows that the U (5) symmetry of the IBM1 is an appropriate approach to describe the rotation driven shape phase transition along the yrast line of individual nucleus as the interaction parameters are taken in a special region. The O (6) symmetric yrast states may involve a phase transition from γ-soft rotation to triaxial rotation as the angular momentum increases, if the interaction parameters are specially chosen. And the yrast states in SU (3) symmetry always appear in the axially prolate shape phase.

EIKONAL SCATTERING IN THE sdg INTERACTING BOSON MODEL: ANALYTICAL RESULTS IN THE SUsdg(3) LIMIT AND THEIR GENERALIZATIONS

1993 ◽  
Vol 08 (11) ◽  
pp. 987-996 ◽  
Author(s):  
V. K. B. KOTA
Keyword(s):  
Target Nucleus ◽  
Scattering Amplitude ◽  
Eikonal Approximation ◽  
Interacting Boson Model ◽  
Angular Momentum Projection ◽  
Rotational Bands ◽  
Ground Band ◽  
Energy Proton ◽  
Nucleus Scattering ◽  
Boson Model

General expression for the representation matrix elements in the SU sdg(3) limit of the sdg interacting boson model (sdgIBM) is derived that determine the scattering amplitude in the eikonal approximation for medium energy proton-nucleus scattering when the target nucleus is deformed and it is described by the SU sdg(3) limit. The SU sdg(3) result is generalized to two important situations: (i) when the target nucleus ground band states are described as states arising out of angular momentum projection from a general single Kπ = 0+ intrinsic state in sdg space; (ii) for rotational bands built on one-phonon excitations in sdgIBM.

Microscopic approach to the interacting boson model

1982 ◽  
Vol 384 (1-2) ◽  
pp. 1-23 ◽  
Author(s):  
M.R. Zirnbauer ◽  
D.M. Brink
Keyword(s):  
Interacting Boson Model ◽  
Microscopic Approach ◽  
Boson Model

COMPARISONS OF THE ODD–EVEN STAGGERING PATTERNS BETWEEN THE Ba–Dy REGION WITH 88 NEUTRONS AND Ra ISOTOPES WITH 88 PROTONS

2013 ◽  
Vol 22 (09) ◽  
pp. 1350070 ◽  
Author(s):  
AHMED K. MHEEMEED
Keyword(s):  
Experimental Data ◽  
Angular Momentum ◽  
Vector Boson ◽  
Energy Levels ◽  
Neutron Number ◽  
Interacting Boson Model ◽  
Proton Number ◽  
Input Parameters ◽  
Boson Model ◽  
Best Fit

Useful information about the shape transitions of even–even isotones 144 Ba , 146 Ce , 148 Nd , 150 Sm , 152 Gd , 154 Dy with 88 neutrons and 218-226 Ra isotopes with 88 protons are obtained from the ratios of [Formula: see text] as a function of neutron number N or proton number Z and the relations [Formula: see text] and r((I+2)/I) as a function of the angular momentum I. Interacting Boson Model (IBM-1), Bohr–Mottelson Model (BM) and Interacting Vector Boson Model (IVBM) have been employed to study the energy levels for the ground and octupole bands of the above nuclei. The best input parameters for the above approaches which lead to the best fit to experimental data are determined. The ΔI = 1 staggering (odd–even staggering) in octupole bands of the studied nuclei is found to exhibit a "beat" behavior as a function of angular momentum I. Comparisons of the displacement energies δE(I) and the staggering factor ΔE1, γ(I) are presented between the Ba–Dy region with 88 neutrons and Ra isotopes with 88 protons.

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.

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