Correspondence between the fermion dynamic symmetry model and the interacting boson model in wave functions

1988 ◽  
Vol 37 (6) ◽  
pp. 2789-2801 ◽  
Author(s):  
Zi-Min Lü ◽  
Xin-Wan Pan ◽  
Jin-Quan Chen ◽  
Xuan-Gen Chen ◽  
Da Hsuan Feng
1985 ◽  
Vol 435 (2) ◽  
pp. 635-656 ◽  
Author(s):  
A.E. Stuchbery ◽  
I. Morrison ◽  
L.D. Wood ◽  
R.A. Bark ◽  
H. Yamada ◽  
...  

2020 ◽  
pp. 13-18
Author(s):  
I. Hossain ◽  
Huda H. Kassim ◽  
Fadhil I. Sharrad ◽  
Mushtaq A. Al-Jubbori ◽  
A. Salam ◽  
...  

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.


2020 ◽  
pp. 149-152

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 .


Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.


2020 ◽  
Vol 102 (6) ◽  
Author(s):  
K. Nomura ◽  
R. Rodríguez-Guzmán ◽  
Y. M. Humadi ◽  
L. M. Robledo ◽  
J. E. García-Ramos

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