AN APPLICATION OF THE DEMOCRATIC MAPPING IN REALISTIC SYSTEMS

The democratic mapping is used for the calculation of low lying states of nuclei in the sd and fp shells. In addition to demonstrating the applicability of the method in realistic cases where many non-degenerate levels are present, the method allows for the ranking of the various bosons according to their importance as building blocks of low lying states. It is proven that the s and d bosons are the most important building blocks, followed by the d' and g bosons. Thus one of the basic assumptions of the Interacting Boson Model (IBM) is proven to be correct. Very good agreement between the boson calculation and the shell model results is obtained for A = 20 nuclei when 12 bosons are taken into account, while an even larger number of bosons is required to reproduce the low-lying states of the A = 44 nuclei. In order to obtain equally good results with a smaller number of bosons one needs to introduce effective boson hamiltonians which correspond to truncated fermion spaces.

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

10.32792/utq/utjsci/vol7/2/32 ◽

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 ◽

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 .

Unbroken SU(3) symmetry and the relation of interacting-boson-model parameters with the shell model

Physical Review C ◽

10.1103/physrevc.33.1505 ◽

1986 ◽

Vol 33 (4) ◽

pp. 1505-1510 ◽

Cited By ~ 16

Author(s):

J. B. Gupta

Keyword(s):

Shell Model ◽

Interacting Boson Model ◽

Model Parameters ◽

EM Transition Sum Rules Within the Framework of sdg Proton-Neutron Interacting Boson Model, Nuclear Pair Shell Model and Fermion Dynamical Symmetry Model

Communications in Theoretical Physics ◽

10.1088/0253-6102/28/1/63 ◽

1997 ◽

Vol 28 (1) ◽

pp. 63-70

Author(s):

Zhao Yumin

Keyword(s):

Shell Model ◽

Sum Rules ◽

Dynamical Symmetry ◽

Interacting Boson Model ◽

Symmetry Model ◽

Shape coexistence in $^{76}$Se within the neutron-proton interacting boson model

Communications in Theoretical Physics ◽

10.1088/1572-9494/ac3fb0 ◽

2021 ◽

Author(s):

Chengfu Mu ◽

Dali Zhang

Keyword(s):

Experimental Data ◽

Energy Spectrum ◽

Excitation Energy ◽

Energy Levels ◽

Spherical Shape ◽

Interacting Boson Model ◽

Shape Coexistence ◽

Electromagnetic Transition ◽

Boson Model ◽

Abstract We have investigated the low-lying energy spectrum and electromagnetic transition strengths in even-even $^{76}$Se using the proton-neutron interacting boson model (IBM-2). The theoretical calculation for the energy levels and $E2$ and $M1$ transition strengths is in good agreement with the experimental data. Especially, the excitation energy and $E2$ transition of $0^+_2$ state, which is intimately associated with shape coexistence, can be well reproduced. The analysis on low-lying states and some key structure indicators indicates that there is a coexistence between spherical shape and $\gamma$-soft shape in $^{76}$Se.

The shell model and the interacting boson model

Nuclear Physics A ◽

10.1016/0375-9474(90)90567-6 ◽

1990 ◽

Vol 507 (1) ◽

pp. 43-53 ◽

Cited By ~ 1

Author(s):

F. Iachello

Keyword(s):

Shell Model ◽

Interacting Boson Model ◽

THE SD-PAIR SHELL MODEL AND INTERACTING BOSON MODEL

Nuclear Structure in China 2010 ◽

10.1142/9789814360654_0023 ◽

2011 ◽

Author(s):

YAN-AN LUO ◽

FU-YONG WANG ◽

FENG PAN ◽

JERRY P. DRAAYER ◽

PING-ZHI NING

Keyword(s):

Shell Model ◽

Interacting Boson Model ◽

Investigation of some even-even selenium isotopes within the interacting boson model-2

Open Physics ◽

10.2478/s11534-008-0087-0 ◽

2008 ◽

Vol 6 (3) ◽

Cited By ~ 1

Author(s):

Mahmut Böyükata ◽

İhsan Uluer

Keyword(s):

Transition Probabilities ◽

Energy Levels ◽

Mass Region ◽

Experimental Results ◽

Interacting Boson Model ◽

Electromagnetic Transition ◽

Boson Model ◽

Selenium Isotopes ◽

AbstractThe even-even Selenium isotopes in the A∼80 mass region and the general features of its structure have been investigated within the framework of the interacting boson model-2. The neutron proton version of the model has been applied to the Se (A=74 to 80) isotopes with emphasis on the description of the 01+, 21+, 02+, 22+ and 41+ states. The energy levels, B(E2)and B(M1)electromagnetic transition probabilities were calculated. The results of these calculations were compared with previous experimental results and were shown to be in good agreement.

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

Physics Today ◽

10.1063/1.2808408 ◽

1994 ◽

Vol 47 (2) ◽

pp. 102-104 ◽

Cited By ~ 7

Author(s):

Igal Talmi ◽

Bruce R. Barrett

Keyword(s):

Shell Model ◽

Interacting Boson Model ◽

Boson Model ◽

Simple Models ◽

Complex Nuclei

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

Progress of Theoretical Physics Supplement ◽

10.1143/ptp.125.65 ◽

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

SD-pair shell model: Vibrational and rotational limits in the interacting boson–fermion model for like-nucleon system

International Journal of Modern Physics E ◽

10.1142/s0218301320500883 ◽

2020 ◽

Vol 29 (10) ◽

pp. 2050088

Author(s):

B. C. He ◽

Y. Zhang ◽

L. Li ◽

Y. A. Luo ◽

F. Pan ◽

...

Keyword(s):

Shell Model ◽

Quadrupole Interaction ◽

Single Particle ◽

Degree Of Freedom ◽

Interacting Boson Model ◽

Pairing Interaction ◽

Nucleon System ◽

Fermion Model ◽

Collective Degree ◽

Typical features of the Bose–Fermi symmetries associated with [Formula: see text] and [Formula: see text] limits in the interacting boson model are described in the SD-pair shell model (SDPSM) framework for like-nucleon system. It is found that the limiting spectra associated with [Formula: see text] (vibrational) and [Formula: see text] (rotational) in the interacting boson–fermion model can be well reproduced in the SDPSM framework. It is shown that coupling of collective degree of freedom with the single-particle degree of freedom in the pairing interaction almost has no effect on the spectrum of odd-A system comparing to the adjacent even–even system, while the coupling of the collective degree of freedom with the single-particle degree of freedom in the quadrupole–quadrupole interaction results in the level splitting of several excited levels.