STUDY OF β DECAY FROM EVEN-EVEN 124Ba TO ODD-ODD 124Cs IN THE INTERACTING BOSON-FERMION-FERMION MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1933-1939 ◽  
Author(s):  
N. YOSHIDA ◽  
L. ZUFFI ◽  
S. BRANT
Keyword(s):  
Energy Levels ◽  
Electromagnetic Properties ◽  
Interacting Boson Model ◽  
Β Decay ◽  
Fermion Model ◽  
Boson Model

We study the β decay from an even-even nucleus 124 Ba to an odd-odd nucleus 124 Cs in the interacting boson-fermion-fermion model (IBFFM). The even-even nucleus is described by the proton-neutron interacting boson model (IBM2) while the odd-odd nucleus is by the proton-neutron interacting boson-fermion-fermion model (IBFFM2). The result shows that the model is applicable to β-decay as well as the energy levels and the electromagnetic properties.

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 The Prediction of the Electromagnetic Properties and the ?(E2/M1) of 110-116Cd-Isotopes in IBM Model

2011 ◽  
Vol 8 (3) ◽  
pp. 772-780
Author(s):  
Baghdad Science Journal
Keyword(s):  
Nuclear Structure ◽  
The State ◽  
Electromagnetic Properties ◽  
Interacting Boson Model ◽  
Mixing Ratios ◽  
Mixed Symmetry ◽  
Full Symmetry ◽  
Boson Model ◽  
Cd Isotopes ◽  
Spin Contribution

The Nuclear structure of 110-116Cd isotopes was studied theoretically in the framework of the interacting boson model of IBM-l and IBM-2. The properties of the lowest mixed symmetry states such as the 1+, 2+ and 3+ levels produced by the IBM-2 model in the vibrational-limit U(5) of Cd - isotopes are studied in details. This analysis shows that the character of mixed symmetry of 2+ is shared between and states in 110-114Cd – isotopes, the large shar goes to s, while in isotope, the state is declared as a mixed symmetry state without sharing. This identification is confirmed by the percentage of F-spin contribution. The electromagnetic properties of E2 and Ml operators were investigated and the results were analyzed. Various values of eB in the IBM-l and fixed e?= 0.104 eb and e?=0.093 e.b in the IBM-2 are used to generate the B(E2) and Q(2+). Fixed values of g? =0.31?N and g? =-0.31?N were adopted to generate the B(Ml) and ?(E2/ Ml) mixing ratios. The small values of ?(E2/Ml) which obtained for transition from MS- states to those of full symmetry support the conclusion that there may be a strong Ml transition between these states.

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

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 ◽  
Good Agreement

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.

Investigation of triaxiality in 54122–128Xe isotopes in the framework of sdg-IBM

2017 ◽  
Vol 26 (10) ◽  
pp. 1750070
Author(s):  
M. A. Jafarizadeh ◽  
Z. Ranjbar ◽  
N. Fouladi ◽  
M. Ghapanvari
Keyword(s):  
Lie Algebra ◽  
Ground State ◽  
Energy Levels ◽  
Vibrational Band ◽  
Interacting Boson Model ◽  
Transition Rates ◽  
Signature Splitting ◽  
Boson Model

In this paper, a transitional interacting boson model (IBM) Hamiltonian in both sd-(IBM) and sdg-IBM versions based on affine [Formula: see text] Lie algebra is employed to describe deviations from the gamma-unstable nature of Hamiltonian along the chain of Xe isotopes. sdg-IBM Hamiltonian proposed a better interpretation of this deviation which cannot be explained in the [Formula: see text]-boson models. The nuclei studied have well-known [Formula: see text] bands close to the [Formula: see text]-unstable limit. The energy levels, [Formula: see text] transition rates and signature splitting of the [Formula: see text] -vibrational band are calculated via the affine SU(1,1) Lie algebra. An acceptable degree of agreement was achieved based on this procedure. It is shown that in these isotopes the signature splitting is better reproduced by the inclusion of sdg-IBM. In none of them, any evidence for a stable, triaxial ground state shape is found.

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

Open Physics ◽  
2008 ◽  
Vol 6 (3) ◽  
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 ◽  
Good Agreement

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.

HIGH SPIN STATES IN 184Pt AND 172W NUCLIDES AND CORE EXCITATION IN IBA CALCULATION

1987 ◽  
Vol 02 (10) ◽  
pp. 715-719
Author(s):  
S. T. HSIEH ◽  
M. M. KING YEN
Keyword(s):  
High Spin ◽  
Energy Levels ◽  
Structure Change ◽  
Interacting Boson Model ◽  
Spin States ◽  
Quadrupole Moments ◽  
Core Excitation ◽  
High Spin States ◽  
The Core ◽  
Boson Model

The core-excited interacting boson model up to two boson excitation is applied to 184 Pt and 172 W nuclides. In addition to energy levels (backbending), the calculated transition quadrupole moments of 172 W also reproduces the experimentally observed behavior, namely, a reduction at high spin. Incidentally a structure change between the lighter and the heavier Pt isotopes manifests itself in the study.

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

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 ◽  
Boson Model

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.

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