Evolution of ground state nuclear shapes in tungsten nuclei in terms of interacting boson model

2016 ◽  
Vol 13 (2) ◽  
pp. 163-168 ◽  
Author(s):  
A. M. Khalaf ◽  
A. O. El-Shal ◽  
M. M. Taha ◽  
M. A. El-Sayed
Keyword(s):  
Ground State ◽  
Interacting Boson Model ◽  
Boson Model

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.

Electromagnetic reduced transition properties of the ground state band of even–even 102−106Pd isotopes by means of interacting boson model-I

2013 ◽  
Vol 88 (1) ◽  
pp. 5-9 ◽  
Author(s):  
I Hossain ◽  
M A Saeed ◽  
N N A M B Ghani ◽  
H Sa’adeh ◽  
M Hussein ◽  
...  
Keyword(s):  
Ground State ◽  
Interacting Boson Model ◽  
Ground State Band ◽  
State Band ◽  
Boson Model

Deformation properties of the even–even rare-earth Er–Os isotopes for N = 100

2018 ◽  
Vol 27 (05) ◽  
pp. 1850035 ◽  
Author(s):  
Mushtaq Abed Al-Jubbori ◽  
Huda H. Kassim ◽  
Fadhil I. Sharrad ◽  
I. Hossain
Keyword(s):  
Rare Earth ◽  
Ground State ◽  
Interacting Boson Model ◽  
Ground State Band ◽  
Gamma Energy ◽  
Os Isotopes ◽  
Deformation Properties ◽  
Contour Plots ◽  
State Band ◽  
Boson Model

The energies of the ground, [Formula: see text] and [Formula: see text] bands as well as the associated [Formula: see text] values have been calculated using interacting boson model (IBM). We have developed a new method called “new empirical equation” for each even–even rare-earth Er–Os for [Formula: see text]. Also, the relation of the gamma energy over spin as a function of the spin [Formula: see text] (E-GOS) has been drawn. The ratio between the energies of the [Formula: see text] and [Formula: see text] states as a function of [Formula: see text] has been drawn to determine the property of the ground-state band, these curves indicated that these isotopes have a rotational property SU(3), with the [Formula: see text] property for [Formula: see text]Os isotopes. The contour plots of the potential energy surface for Er–Os for [Formula: see text] are studied using the simplified form of interacting boson model with an intrinsic coherent state. The critical points have been determined for [Formula: see text]Os isotopes. The behaviors of energy and [Formula: see text] ratios in the ground-state band are examined.

STUDY ON GROUND STATE ENERGY BAND OF EVEN 114-124Cd ISOTOPES UNDER THE FRAMEWORK OF INTERACTING BOSON MODEL (IBM-1)

2012 ◽  
Vol 21 (08) ◽  
pp. 1250072 ◽  
Author(s):  
I. HOSSAIN ◽  
HEWA. Y. ABDULLAH ◽  
I. M. AHMED ◽  
M. A. SAEED ◽  
S. T. AHMAD
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Energy Band ◽  
State Energy ◽  
Gamma Ray ◽  
Theoretical Calculations ◽  
Interacting Boson Model ◽  
Experimental Energy ◽  
Experimental Energy Level ◽  
Boson Model

In this research, the ground state gamma ray bands of even 114-124 Cd isotopes are calculated using interacting boson model (IBM-1). The theoretical energy levels for Z = 48, N = 66–76 up to spin-parity 8+ have been obtained by using PHINT computer program. The values of the parameters in the IBM-1 Hamiltonian yield the best fit to the experimental energy spectrum. The calculated results of the ground state energy band are compared to the previous experimental results and the obtained theoretical calculations in IBM-1 are in good agreement with the experimental energy level.

scholarly journals Tests of Collective Models Based on the Systematics of Experimental Data

2020 ◽  
Vol 1 ◽  
pp. 92
Author(s):  
Dennis Bonatsos ◽  
L. D. Skouras ◽  
J. Rikovska
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Interacting Boson Model ◽  
Collective Models ◽  
Energy Ratios ◽  
Boson Model ◽  
Superdeformed Bands

The systematics of energy ratios of successive levels of collective bands in medium and heavy mass even-even nuclei are studied. Applications to ground state, β, γ, octupole, intruder and superdeformed bands, as well as to superbands in cases of backbending are made. Implications for the U(5), SU(3) and 0(6) limits of the Interacting Boson Model are discussed.

scholarly journals Study of Nuclear Structures for Nd 148,150,152 a Isotopes by Using IBM-1

2018 ◽  
Vol 28 (2) ◽  
pp. 196
Author(s):  
Sallama S. Hummadi
Keyword(s):  
Ground State ◽  
Energy Levels ◽  
Dynamical Symmetry ◽  
Interacting Boson Model ◽  
Energy Ratios ◽  
Boson Model ◽  
Nuclear Structures

The nuclear structures of even-even isotopes Nd (A=148,150,152) are studied by using the first Interacting Boson Model (IBM-1). The energy levels of ground state, beta and gamma bands ,energy ratios are calculated. The results showed dynamical symmetry of these isotopes SU(3)- SU(6), SU(5)-SU(6).

scholarly journals A STUDY ON THE GROUND STATES STRUCTURE OF EVEN-EVEN 104−106Ru ISOTOPES

2020 ◽  
pp. 13-18
Author(s):  
I. Hossain ◽  
Huda H. Kassim ◽  
Fadhil I. Sharrad ◽  
Mushtaq A. Al-Jubbori ◽  
A. Salam ◽  
...  
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Potential Energy Surfaces ◽  
Energy Levels ◽  
Computer Code ◽  
Interacting Boson Model ◽  
Dynamic Symmetry ◽  
Beta Band ◽  
Boson Model ◽  
Energy Surfaces

In this paper, even-even 104−106Ru isotopes have been studied the ground state bands using Matlab computer code (IBM-1.Mat). We apply the interacting boson model-1 (IBM-1) formula for O(6) symmetry in Ru isotopes with neutron N = 60, 62. The theoretical energy levels up to spin-parity 12+ have been obtained for 104−106Ru isotopes. The yrast states, gamma band, beta band, and B(E2) values are calculated for these nuclei. The published experimental and calculated R4/2 values indicate that the even-even 104−106Ru isotopes have O(6) dynamic symmetry. The present results have been compared to the published experimental data and are found good harmony with each other. The outcome of our investigation of the potential energy surfaces (PES) of both isotopes belonging to O(6) character.

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 .

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