Investigation of $${}^{{178{-}186}}$$Pt Isotopic Chain by Using $${Z}$$(5) and Interacting Boson Model-2

In this paper, we have studied the energy spectra and [Formula: see text] values of [Formula: see text]Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional interacting Boson model (IBM), Hamiltonian which is based on affine SU(1,1) Lie algebra in the both IBM-1 and 2 versions and also the Catastrophe theory in combination with a coherent state formalism to generate energy surfaces and determine the exact values of control parameters. Our results for control parameters suggest a combination of [Formula: see text](5) and SO(6) dynamical symmetries in this isotopic chain. Also, the theoretical predictions can be rather well reproduce the experimental counterparts, when the control parameter is approached to the SO(6) limit.

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Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

10.32792/utq/utjsci/vol7/2/32 ◽

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 .

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Octupole and quadrupole modes in radon isotopes using the proton-neutron interacting boson model

Physical Review C ◽

10.1103/physrevc.104.014308 ◽

2021 ◽

Vol 104 (1) ◽

Author(s):

O. Vallejos ◽

J. Barea

Keyword(s):

Interacting Boson Model ◽

Boson Model ◽

Radon Isotopes

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Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Universe ◽

10.3390/universe7030066 ◽

2021 ◽

Vol 7 (3) ◽

pp. 66

Author(s):

Jenni Kotila

Keyword(s):

Beta Decay ◽

Single Particle ◽

Field Potential ◽

Double Beta Decay ◽

Interacting Boson Model ◽

Model Calculations ◽

Single Particle Level ◽

Particle Level ◽

Boson Model

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.

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