scholarly journals Shape evolution and shape coexistence in Pt isotopes: Comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
J. E. García-Ramos ◽  
K. Heyde ◽  
L. M. Robledo ◽  
R. Rodríguez-Guzmán
Keyword(s):  
Mean Field ◽  
Interacting Boson Model ◽  
Field Energy ◽  
Shape Evolution ◽  
Shape Coexistence ◽  
Model Configuration ◽  
Configuration Mixing ◽  
Boson Model ◽  
Energy Surfaces

scholarly journals Shape Coexistence In The Neutron-Deficient Lead Isotopes, As Seen From Within Complimentary Models

2019 ◽  
Vol 14 ◽  
pp. 59
Author(s):  
Ruben Fossion ◽  
G. A. Lalazissis
Keyword(s):  
Lead Isotopes ◽  
Mean Field ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Excitation Energies ◽  
Excitation Mode ◽  
Theoretical Approaches ◽  
Mean Field Models ◽  
The Mean ◽  
Boson Model

In the neutron-deficient lead isotopes, at low excitation energies, the nucleus does not have one preferred excitation mode. Instead, three different coexisting "families" of excitation states are found in the excitation spectrum. Theoretical approaches are offered within the mean-field models (both relativistic and non-relativistic) and within the Interacting Boson Model (IBM). Recently, a third approach using bosoncoherent states has shown to offer a possible bridge between the former two approaches.

scholarly journals Intertwined quantum phase transitions in the Zr chain

2019 ◽  
Vol 223 ◽  
pp. 01021
Author(s):  
N. Gavrielov ◽  
A. Leviatan ◽  
F. Iachello
Keyword(s):  
Phase Transitions ◽  
Detailed Analysis ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Shape Evolution ◽  
Normal Configuration ◽  
Configuration Mixing ◽  
Boson Model

We introduce the notion of intertwined quantum phase transitions (IQPTs), for which a crossing of two configurations coexists with a pronounced shape-evolution of each configuration. A detailed analysis in the framework of the interacting boson model with configuration mixing, provides evidence for this scenario inthe Zr isotopes. The latter exhibit a normal configuration which remains spherical along the chain, but exchanges roles with an intruder configuration, which undergoes first a spherical to prolate-deformed [U(5)→SU(3)] QPT and then a crossover to γ-unstable [SU(3)→SO(6)].

scholarly journals Configuration Mixing for Po Isotopes within the Interacting Boson Model-2

2021 ◽  
Vol 66 (7) ◽  
pp. 582
Author(s):  
L.A. Najam ◽  
S.N. Abood ◽  
F.M.A. Al-Jomaily
Keyword(s):  
Excited States ◽  
Energy Levels ◽  
Least Square ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Least Square Fit ◽  
Configuration Mixing ◽  
Boson Model ◽  
Experimental Values ◽  
Good Agreement

We analyze a sequence of 194−204Po isotopes, using the Configuration Mixing (CM) Interacting Boson Model 2 (IBM-2). We set the parameters of Hamiltonian using a least-square fit for the known energy levels, electrical transition rates B(E2), and quadruple moments Q(2+1) for the first excited states. We have a good agreement with the experimental values for all the observables tested, and we infer that the feature of the shape coexistence is concealed in the isotopes of Po, just as in the isotopes of Os and Pt.

Shape coexistence in $^{76}$Se within the neutron-proton interacting boson model

2021 ◽  
Author(s):  
Chengfu Mu ◽  
Dali Zhang
Keyword(s):  
Experimental Data ◽  
Energy Spectrum ◽  
Excitation Energy ◽  
Energy Levels ◽  
Spherical Shape ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Good Agreement

Abstract We have investigated the low-lying energy spectrum and electromagnetic transition strengths in even-even $^{76}$Se using the proton-neutron interacting boson model (IBM-2). The theoretical calculation for the energy levels and $E2$ and $M1$ transition strengths is in good agreement with the experimental data. Especially, the excitation energy and $E2$ transition of $0^+_2$ state, which is intimately associated with shape coexistence, can be well reproduced. The analysis on low-lying states and some key structure indicators indicates that there is a coexistence between spherical shape and $\gamma$-soft shape in $^{76}$Se.

Formulating the interacting boson model by mean-field methods

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Kosuke Nomura ◽  
Noritaka Shimizu ◽  
Takaharu Otsuka
Keyword(s):  
Mean Field ◽  
Interacting Boson Model ◽  
Field Methods ◽  
Boson Model ◽  
Mean Field Methods
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