scholarly journals Lipkin translational-symmetry restoration in the mean-field and energy–density-functional methods

2009 ◽  
Vol 36 (10) ◽  
pp. 105105 ◽  
Author(s):  
Jacek Dobaczewski
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Mean Field ◽  
Translational Symmetry ◽  
Energy Density Functional ◽  
Density Functional Methods ◽  
Functional Methods ◽  
The Mean

CONSTRAINING SYMMETRY RESTORATION WITHIN THE NUCLEAR ENERGY DENSITY FUNCTIONAL METHOD

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2016-2017
Author(s):  
J. SADOUDI ◽  
T. DUGUET
Keyword(s):  
Wave Function ◽  
Energy Density ◽  
Density Functional ◽  
Nuclear Energy ◽  
Density Functional Method ◽  
Energy Functional ◽  
Functional Method ◽  
Energy Density Functional ◽  
Density Functional Methods ◽  
Functional Methods

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to difficulties to formulate the restoration of symmetries within the energy functional framework.

EVOLUTION OF SHELL CLOSURES IN MEAN-FIELD-BASED MODELS: CONTRIBUTIONS BEYOND THE STATIC SPHERICAL MEAN FIELD TO OBSERVABLE SIGNATURES OF SHELL EVOLUTION

2009 ◽  
Vol 18 (10) ◽  
pp. 2093-2097
Author(s):  
MICHAEL BENDER
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Degrees Of Freedom ◽  
Nuclear Energy ◽  
Functional Form ◽  
Mean Field ◽  
Energy Density Functional ◽  
Functional Methods ◽  
Shell Closures ◽  
Spherical Mean

A summary is given of recent work that provides evidence that the functional form of of the nuclear energy density functional, the rearrangement of the self-consistent mean field when changing neutron and proton number, and explicit fluctuations in collective degrees of freedom should be considered simultaneously when analyzing the evolution of shell structure in terms of nuclear energy density functional methods.

scholarly journals ON THE BREAKING AND RESTORATION OF SYMMETRIES WITHIN THE NUCLEAR ENERGY DENSITY FUNCTIONAL FORMALISM

2011 ◽  
Vol 20 (02) ◽  
pp. 270-273 ◽  
Author(s):  
T. DUGUET ◽  
J. SADOUDI
Keyword(s):  
Wave Function ◽  
Energy Density ◽  
Density Functional ◽  
Nuclear Energy ◽  
Energy Functional ◽  
Functional Formalism ◽  
Energy Density Functional ◽  
Broken Symmetries ◽  
Density Functional Methods ◽  
Functional Methods

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function-and energy-functional-based methods. In particular, we point to difficulties encountered within the energy functional framework and discuss new potential constraints on the underlying energy density functional that could make the restoration of broken symmetries better formulated within such a formalism. We refer to Ref.1 for details.

scholarly journals Towards a Novel Energy Density Functional for Beyond-mean-field Calculations with Pairing and Deformation

2019 ◽  
Vol 50 (3) ◽  
pp. 269
Author(s):  
T. Haverinen ◽  
M. Kortelainen ◽  
J. Dobaczewski ◽  
K. Bennaceur
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Mean Field ◽  
Energy Density Functional

scholarly journals Coexistence and evolution of shapes: mean-field-based interacting boson model

2019 ◽  
Vol 223 ◽  
pp. 01046
Author(s):  
Kosuke Nomura
Keyword(s):  
Energy Density ◽  
Density Functional ◽  
Energy Surface ◽  
Mean Field ◽  
Interacting Boson Model ◽  
Field Calculation ◽  
Excitation Spectra ◽  
Energy Density Functional ◽  
Collective Coordinates ◽  
Boson Model

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given energy density functional provides potential energy surface within the relevant collective coordinates, which is subsequently mapped onto the expectation value of the interacting-boson Hamiltonian in the boson condensate state. This procedure completely determines the strength parameters of the IBM, and the diagonalization of the mapped Hamiltonian yields excitation spectra and transition rates for a given nucleus. Two recent applications of the method are discussed, that is, the descriptions of the intruder states in Cadmiumisotopes and the octupole correlations in neutron-rich odd-mass Barium isotopes.

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