IBM-2 calculations of some even-even selenium nuclei

Open Physics ◽  
2006 ◽  
Vol 4 (1) ◽  
pp. 124-154 ◽  
Author(s):  
Nurettin Türkan ◽  
Davut Olgun ◽  
Ýhsan Uluer
Keyword(s):  
Energy Levels ◽  
Theoretical Data ◽  
Interacting Boson Model ◽  
Calculated Energy ◽  
Boson Model ◽  
Good Agreement

AbstractIn this study, we determined the most appropriate Hamiltonian that is needed for present calculations of nuclei in the A≅ 80 region by the view of interacting boson model (IBM-2). Using the best-fitted values of parameters in the Hamiltonian, we have calculated energy levels and B(E2) values for a number of transitions in some doubly even Se nuclei. The results were compared with the previous experimental and theoretical data and it is observed that they are in good agreement. The calculations have been extended to Se isotopes with A < 76 for which some B(E2) values are still not known.

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 .

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 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.

Two-term formula for ground band energy symmetry in low-lying levels of light Mg-Zr nuclei

2015 ◽  
Vol 24 (12) ◽  
pp. 1550102
Author(s):  
Vidya Devi
Keyword(s):  
Energy Levels ◽  
Interacting Boson Model ◽  
Band Energy ◽  
Ground Band ◽  
Single Term ◽  
Energy Formula ◽  
Term Energy ◽  
Boson Model ◽  
Two Parameter ◽  
Good Agreement

In this paper, two parameter single-term energy formula [Formula: see text] is used to study the energy spin relationship within the ground bands of even–even Mg-Zr nuclei. The formula works better for the [Formula: see text]-soft nuclei as well as vibrational nuclei. We also compared it with other two-parameter formulas: Ejiri, [Formula: see text], [Formula: see text] and soft rotor formula (SRF). We also study the symmetry of the nuclei in the framework of interacting boson model (IBM-1). The IBM-1 was employed to determine the most appropriate Hamiltonian, the Hamiltonian of the IBM-1 and [Formula: see text](6) symmetry calculation, for the study of these isotopes. We have also calculated energy levels and B(E2) values for number of transitions in these [Formula: see text]Se and [Formula: see text]Kr isotopes and there is a good agreement between the presented results and the previous experimental data.

scholarly journals Configuration Mixing for Po Isotopes within the Interacting Boson Model-2

2021 ◽  
Vol 66 (7) ◽  
pp. 582
Author(s):  
L.A. Najam ◽  
S.N. Abood ◽  
F.M.A. Al-Jomaily
Keyword(s):  
Excited States ◽  
Energy Levels ◽  
Least Square ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Least Square Fit ◽  
Configuration Mixing ◽  
Boson Model ◽  
Experimental Values ◽  
Good Agreement

We analyze a sequence of 194−204Po isotopes, using the Configuration Mixing (CM) Interacting Boson Model 2 (IBM-2). We set the parameters of Hamiltonian using a least-square fit for the known energy levels, electrical transition rates B(E2), and quadruple moments Q(2+1) for the first excited states. We have a good agreement with the experimental values for all the observables tested, and we infer that the feature of the shape coexistence is concealed in the isotopes of Po, just as in the isotopes of Os and Pt.

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.

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.

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.

A theoretical study of energy spectra and transition probabilities of 200–204Hg isotopes in transitional region of IBM

2014 ◽  
Vol 23 (10) ◽  
pp. 1450056 ◽  
Author(s):  
H. Sabri
Keyword(s):  
Experimental Data ◽  
Theoretical Study ◽  
Transition Probabilities ◽  
Energy Spectra ◽  
Interacting Boson Model ◽  
Transitional Region ◽  
Transition Rates ◽  
Scale Factors ◽  
Boson Model ◽  
Good Agreement

In this paper, by using the SO(6) representation of eigenstates and transitional Interacting Boson Model (IBM) Hamiltonian, the evolution from prolate to oblate shapes along the chain of Hg isotopes is studied. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are found to be in good agreement with experimental data for 200–204 Hg isotopes which are supported to be located in this transitional region.

scholarly journals AN APPLICATION OF THE DEMOCRATIC MAPPING IN REALISTIC SYSTEMS

2020 ◽  
Vol 2 ◽  
pp. 99
Author(s):  
Dennis Bonatsos ◽  
L. D. Skouras ◽  
P. Van Isacker ◽  
M. A. Nagarajan
Keyword(s):  
Shell Model ◽  
Building Blocks ◽  
Interacting Boson Model ◽  
Basic Assumptions ◽  
Boson Model ◽  
Good Agreement

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.

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