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.

Description of the Ba–Dy(N = 92) nuclei in the interacting boson model

2017 ◽  
Vol 26 (04) ◽  
pp. 1750019 ◽  
Author(s):  
Huda H. Kassim
Keyword(s):  
Potential Energy Surfaces ◽  
Energy Levels ◽  
Interacting Boson Model ◽  
Contour Plot ◽  
Model Parameters ◽  
Transition Rates ◽  
Ground State Band ◽  
State Band ◽  
Boson Model ◽  
Energy Surfaces

Interacting Boson Model (IBM -1) has been used to study the energy levels and [Formula: see text] transition rates in Ba–Dy ([Formula: see text]) isotones. A simplified Hamiltonian is used which is written in the creation and annihilation form and for each nucleus, by fitting the selected experimental energy levels and [Formula: see text] transition rates with the calculated ones to get the best model parameters. Using the (IBM) Hamiltonian with an intrinsic state formalism, the potential energy surfaces (PES) for even–even Ba–Dy nuclei have been obtained and the contour plot of PES show that the shape phase transitions from spherical [Formula: see text] to deformed shape [Formula: see text] has been determined for the [Formula: see text], while [Formula: see text]Ce, [Formula: see text]Nd, [Formula: see text]Sm, [Formula: see text]Gd and [Formula: see text]Dy nuclei are deformed and have rotational-like characters. The behavior of energy and [Formula: see text] ratios in the ground state band are examined.

scholarly journals Study of Energy States and U(5) – O(6) Transitional Symmetry of Even–Even104 – 108Cd Isotopes by Interacting Boson Model(IBM-1).

2020 ◽  
pp. 262-267
Author(s):  
Omar Ahmed Muaffaq
Keyword(s):  
Potential Energy ◽  
Potential Energy Surfaces ◽  
Energy Levels ◽  
Interacting Boson Model ◽  
Contour Plots ◽  
Boson Model ◽  
Cd Isotopes ◽  
Energy States ◽  
Experimental Values ◽  
Energy Surfaces

In this study we calculated the energy levels of low lying structure for 104 – 108 Cd isotopes and the reduced transition B(E2) of even – even Cd nuclei for A=104,106, 108 by using" the interaction boson model IBM-1" and compared with experimental values .The ratio R(4/2) for the energy levels for 41 + and 21 + states were also calculated for those isotopes .The 104 – 108 Cd nuclei in " U(5) – O(6) transitional symmetry" were studied .The contour plots of the potential energy surfaces (P E S) was calculate for the isotopes above .

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 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.

Energy levels and electromagnetic transition of 190–196Pt nuclei

2014 ◽  
Vol 23 (11) ◽  
pp. 1450070 ◽  
Author(s):  
Huda H. Kassim ◽  
Fadhil I. Sharrad
Keyword(s):  
Experimental Data ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Branching Ratios ◽  
Interacting Boson Model ◽  
Electric Quadrupole Moment ◽  
Electromagnetic Transition ◽  
Mixing Ratios ◽  
Boson Model ◽  
Better Than

A description of the even–even Pt isotopes for A = 190 to 196 in the framework of the Interacting Boson Model (IBM-1) is carried out. Energy levels, B(E2) and B(M1) values, branching ratios, E2/M1 mixing ratios and QJ values of the above nuclei have been calculated. The energy levels, B(E2) values and the electric quadrupole moment QJ results are reasonably consistent with the experimental data. The magnetic dipole is compared with the available experimental data. Furthermore, the calculated results are better than previous studies.

scholarly journals Nuclear phase transitions near the critical points: a study with the Relativistic Hartree-Bogoliubov model, the Interacting Boson Model and the Boson Coherent-State Framework

2020 ◽  
Vol 15 ◽  
pp. 136
Author(s):  
R. Fossion
Keyword(s):  
Phase Transitions ◽  
Coherent State ◽  
Analytical Solutions ◽  
Critical Points ◽  
Potential Energy Surfaces ◽  
Transfer Reactions ◽  
Interacting Boson Model ◽  
Boson Model ◽  
Nuclear Phase ◽  
Energy Surfaces

We present an analysis of the intensity of 2-particle transfer reactions in the Interacting Boson Model (IBM), and in the Boson Coherent-State framework, as a tool to study nuclear phase transitions. We study transfer reactions between two ground states, and between the ground state and the band head of the beta-vibrational band. We suggest characteristic fingerprints that should allow experimentalists to identify the critical points of the nuclear phase transition. Two analytical solutions, X(5) and E(5), have been proposed recently for two of the critical points. We present a study within the Relativistic Hartree-Bogoliubov model (RHB), using Potential-Energy Surfaces (PES), to test whether the initial approximations made in deriving the analytical solutions are valid.

Structure of the low-lying positive and negative parity states in even–even 144−154Nd isotopes

2019 ◽  
Vol 28 (12) ◽  
pp. 1950107
Author(s):  
Hussein N. Qasim ◽  
Falih H. Al-Khudair
Keyword(s):  
Potential Energy Surfaces ◽  
Transition Probability ◽  
Model Space ◽  
Negative Parity ◽  
Energy Spectra ◽  
Interacting Boson Model ◽  
Nd Isotopes ◽  
Nd Isotope ◽  
Boson Model ◽  
Energy Surfaces

The low-lying positive and negative parity states of even–even [Formula: see text]Nd isotopes are studied using the interacting boson model (IBM). The negative parity states are involved within the IBM model by adding a single angular momentum ([Formula: see text]) boson with intrinsic negative parity [Formula: see text]-boson to [Formula: see text] and [Formula: see text]-bosons model space. For these nuclei, the potential energy surfaces [Formula: see text], transition probability [Formula: see text], [Formula: see text] and [Formula: see text] are calculated. Phase transition from the [Formula: see text] limit to the [Formula: see text] limit is observed in the chain and the critical point has been determined for [Formula: see text]Nd isotope. It is found that the calculated positive and negative parity energy spectra of Nd-isotopes agree well with the experimental data.

scholarly journals Energy Levels and Electromagnetic Transition of Some Even-Even Xe Isotopes

2016 ◽  
Vol 10 (11) ◽  
pp. 181 ◽  
Author(s):  
Hussein H. Khudher ◽  
Ali K. Hasan ◽  
Fadhil I. Sharrad
Keyword(s):  
Experimental Data ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Branching Ratios ◽  
Interacting Boson Model ◽  
Electric Quadrupole Moment ◽  
Electromagnetic Transition ◽  
Mixing Ratios ◽  
Boson Model ◽  
Theoretical Results

In this work, the energy levels electromagnetic transition B(E2) and B(M1), branching ratios, mixing ratios and electric quadrupole moment of even-even 120-126Xe isotopes have been investigated using Interacting Boson Model (IBM-1). The results were compared with some previous experimental and theoretical values, it was seen that the obtained theoretical results are in agreement with the experimental data.

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