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).

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 .

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.

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.

Nuclear Shape Transition Between Spherical U(5) and γ-Unstable O(6) Limits of the Interacting Boson Model

2015 ◽  
Vol 9 (1) ◽  
pp. 2330-2339
Author(s):  
Mahmoud Abokilla ◽  
A.M. Khalaf ◽  
T.M. Awwad ◽  
N. Gaballah
Keyword(s):  
Phase Transition ◽  
Potential Energy Surfaces ◽  
Dynamical Symmetry ◽  
Interacting Boson Model ◽  
Yrast Band ◽  
Excitation Energies ◽  
Energy Ratios ◽  
Boson Model ◽  
Spherical Oscillator ◽  
Energy Surfaces

The interacting boson model (IBM) with intrinsic coherent state (characterized by and ) is used to describe the nuclear second order shape phase transition (denoted E(5)) between the spherical oscillator U(5) and the -soft rotor O(6) structural limits. The potential energy surfaces (PES's) have been derived and the critical points of the phase transition have been determined . The model is examined for the spectra of even-even neutron rich xenon isotopic chain. The best adopted parameters in the IBM Hamiltonian for each nucleus have been adjusted to reproduce as closely as possible the experimental selected numbers of excitation energies of the yrast band,  by using computer simulated search program.Using the best fitted parameters , the  energy ratios for the  levels are calculated and compared to those of the O(6) and U(5) dynamical symmetry limits.122Xe and 132Xe are considered as examples for the two O(6) and U(5) dynamical symmetry limits

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.

scholarly journals Calculate Energy Levels, Energy Ratios and Electric Quadrupole Transition Probability B(E2), of the Even-Even Yb-164 Isotopes Using IBM-1

2020 ◽  
Vol 31 (1) ◽  
pp. 71
Author(s):  
Sallama Sadiq Hummadi ◽  
Omar Ahmed M. Safauldeen ◽  
Amani Abdullah Kumeel ◽  
Anaam Musa Hadee ◽  
Raghdaa Hameed Honi
Keyword(s):  
Transition Probability ◽  
Energy Levels ◽  
Dynamical Symmetry ◽  
Electric Quadrupole ◽  
Quadrupole Transition ◽  
Electric Quadrupole Transition ◽  
Energy Ratios ◽  
Boson Model ◽  
Acceptable Agreement

The nuclear structure for even-even nuclei  estimated by using interacting boson model (IBM-1). Also this program was used to determine energy levels of g- state, energy ratios and electric quadrupole transitions probability B(E2) which have been calculated. Depending on the follow up of energy ground bands (g, β, and γ) . The dynamical symmetry and energy spectrum of selected isotope are determined by B(E2). The electric quadrupole transition probability of the (2ᶢ+-0ᶢ+) transitions for Yb (A=164) isotopes with the dynamical symmetry SU(3)- SU(5) from rotational SU(3) to vibrational SU(5). All obtained results of the study were compared with experimental facts and acceptable agreement obtained.

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.

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
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