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.

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 ${\rm B(E2)}\uparrow (0_{1}^{+} \rightarrow 2_{1}^{+})$ predictions for even–even nuclei in the differential equation model

2015 ◽  
Vol 24 (02) ◽  
pp. 1550011 ◽  
Author(s):  
R. C. Nayak ◽  
S. Pattnaik
Keyword(s):  
Differential Equation ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Equation Model ◽  
Quadrupole Transition ◽  
Differential Equation Model ◽  
Recursion Relations ◽  
Electric Quadrupole Transition ◽  
Wide Range

We use the recently developed differential equation model (DEM) for the reduced electric quadrupole transition probability B(E2)↑ for the transition from the ground to the first 2+ state for predicting its values for a wide range of even–even nuclides almost throughout the nuclear landscape from Neon to Californium. This is made possible as the principal equation in the model, namely, the differential equation connecting the B(E2)↑ value of a given even–even nucleus with its derivatives with respect to the neutron and proton numbers, provides two different recursion relations, each connecting three different neighboring even–even nuclei from lower- to higher-mass numbers and vice versa. These relations are primarily responsible in extrapolating from known to unknown terrain of the B(E2)↑-landscape and thereby facilitate the predictions throughout. As a result, we have succeeded in predicting its hitherto unknown value for the adjacent 251 isotopes lying on either side of the known B(E2)↑ database.

scholarly journals Description of the energy levels and electric quadrupole transitions of the 92Nb and 92Mo nuclei using nuclear shell model

2021 ◽  
Author(s):  
Mustafa Mohammed Jabbar ◽  
Keyword(s):  
Transition Probabilities ◽  
Transition Probability ◽  
Energy Levels ◽  
Electric Quadrupole ◽  
Electric Quadrupole Transition ◽  
Modified Surface ◽  
Electric Transition ◽  
Experimental Values ◽  
Nuclear Shell ◽  
Good Agreement

In current study ,92Nb and 92Mo isotopes have been determined for calculating energy levels and electric quadrupole transition probabilities. Two interaction have been applied in this study are surface delta and modified surface delta interactions. The calculations have been achieved by using appropriate effective charges for proton and neutron as well as parameter length of harmonic potential. Computed results have been compared with the experimental values. After this comparison, energy and the transition probability values have a good agreement with the experimental values, also there are values of the total angular momentum and parity are determined and confirmed for some of the experimental energies, undetermined and unconfirmed experimentally. Theoretically, new values of quadrupole electric transition probabilities have been explored which have not been known in the experimental data.

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 Investigation of transition symmetry shapes of 160-168Yb nuclei using IBM

2021 ◽  
pp. 1135-1143
Author(s):  
Heiyam Najy Hady ◽  
Mohsin Kadhim Muttalb
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Energy Surface ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Gradual Transition ◽  
Contour Plot ◽  
Electric Quadrupole Transition ◽  
Complete Study ◽  
Energy Ratios

The interacting boson models,  and  were used to perform a complete study  of even –even 160-168Yb isotopes .The low –lying positive parity states, dynamic symmetries, reduced electric quadrupole transition probability , quadruple  momentum , and potential energy surface  for 160-168Yb  were investigated. Energy level sequences and energy ratios showed the gradual transition of the properties of these nuclei from the γ-unstable features  to the rotational features . Adding the pairing parameter  to   Hamiltonian had a very slight effect on this feature, but it raised the β band, since it represents symmetry breaking such as in γ-unstable features . This applies to the experimental decay scheme  of 160-168Yb isotopes. In , proton and neutron quadruple deformation parameters  and  showed values equal to -1.24 and approximately 0.7, respectively, which supports the same idea in the interacting boson model . A contour plot of  the potential energy surface for 160-168Yb isotopes showed that the minimum potential occurs at approximately .

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