Critical points in the Interacting Boson Model

2004 ◽  
Author(s):  
J. M. Arias
Keyword(s):  
Critical Points ◽  
Interacting Boson Model ◽  
Boson Model

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.

ODD NUCLEI AND SHAPE PHASE TRANSITIONS: THE ROLE OF THE UNPAIRED FERMION

2011 ◽  
Vol 20 (02) ◽  
pp. 207-212 ◽  
Author(s):  
L. FORTUNATO ◽  
C.E. ALONSO ◽  
J.M. ARIAS ◽  
M. BÖYÜKATA ◽  
A. VITTURI
Keyword(s):  
Phase Transitions ◽  
Energy Spectrum ◽  
Critical Points ◽  
Quantum Systems ◽  
Interacting Boson Model ◽  
Fermion Model ◽  
Finite Quantum Systems ◽  
Boson Model ◽  
Spherical Limit

Shape phase transitions in even and odd systems are reviewed within the frameworks of the Interacting Boson Model(IBM) and the Interacting Boson Fermion Model(IBFM), respectively and compared with geometric models when available. We discuss, in particular, the case of an odd j = 3/2 particle coupled to an even-even boson core that undergoes a transition from the spherical limit U(5) to the γ-unstable limit O(6). Energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core and they agree qualitatively with the model based on the E (5/4) boson-fermion symmetry. We describe then the UBF(5) to SUBF(3) transition when a fermion is allowed to occupy the orbits j = 1/2, 3/2, 5/2. The additional particle characterizes the properties at the critical points in finite quantum systems.

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

Universe ◽  
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.

scholarly journals Octupole correlations in light actinides from the interacting boson model based on the Gogny energy density functional

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
K. Nomura ◽  
R. Rodríguez-Guzmán ◽  
Y. M. Humadi ◽  
L. M. Robledo ◽  
J. E. García-Ramos
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Interacting Boson Model ◽  
Energy Density Functional ◽  
Model Based ◽  
Boson Model

scholarly journals Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

2001 ◽  
Vol 688 (3-4) ◽  
pp. 735-754 ◽  
Author(s):  
J.E. García-Ramos ◽  
C. De Coster ◽  
R. Fossion ◽  
K. Heyde
Keyword(s):  
Phase Transitions ◽  
Binding Energies ◽  
Interacting Boson Model ◽  
Boson Model
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