scholarly journals Partial dynamical symmetry and the vibrational structure of Cd isotopes

2018 ◽  
Vol 178 ◽  
pp. 05003 ◽  
Author(s):  
A. Leviatan ◽  
N. Gavrielov ◽  
J.E. García-Ramos ◽  
P. Van Isacker
Keyword(s):  
Dynamical Symmetry ◽  
Vibrational Structure ◽  
Interacting Boson Model ◽  
Configuration Mixing ◽  
Boson Model ◽  
Cd Isotopes ◽  
Intruder States

The recently reported deviations of selected non-yrast states in 110Cd from the expected sphericalvibrator behaviour, is addressed by means of an Hamiltonian with U(5) partial dynamical symmetry. The latter preserves the U(5) symmetry in a segment of the spectrum and breaks it in other states. The effect of intruder states is treated in the framework of the interacting boson model with configuration mixing.

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.

scholarly journals Description of 160Dy nucleus by partial dynamical SU(3) symmetry

Open Physics ◽  
2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Naser Fouladi ◽  
Mohammadali Jafarizadeh ◽  
Javad Fouladi ◽  
Hadi Sabri
Keyword(s):  
Experimental Data ◽  
Transition Probabilities ◽  
Dynamical Symmetry ◽  
Nuclear Spectroscopy ◽  
Interacting Boson Model ◽  
Recent Experimental Data ◽  
Model Framework ◽  
Boson Model ◽  
Characteristic Features ◽  
Symmetry Structure

AbstractWe considered the characteristic features of SU(3) partial dynamical symmetry in the interacting boson model framework to show the relevance of such intermediate symmetry structure in the nuclear spectroscopy of the 160Dy nucleus. The predictions of SU(3)-PDS for the energy spectrum and the transition probabilities were compared with the most recent experimental data and an acceptable degree of agreement was achieved.

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