scholarly journals Time-dependent Hartree--Fock theory in a two-dimensional rotating frame. [Variational principle, moment of inertia, angular rotational energy contribution]

1977 ◽  
Author(s):  
H. T. Feldmeier
Keyword(s):  
Variational Principle ◽  
Rotational Energy ◽  
Moment Of Inertia ◽  
Time Dependent ◽  
Rotating Frame ◽  
Two Dimensional ◽  
Energy Contribution ◽  
Hartree Fock

COLLECTIVE-DYNAMICS EFFECTS IN FISSION OF 256,258FM ISOTOPES

2008 ◽  
Vol 17 (01) ◽  
pp. 81-88 ◽  
Author(s):  
A. DOBROWOLSKI ◽  
H. GOUTTE ◽  
J.-F. BERGER
Keyword(s):  
Generating Functions ◽  
Time Dependent ◽  
Two Dimensional ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Collective Dynamics ◽  
Hartree Fock ◽  
Mass Distributions ◽  
Generator Coordinate ◽  
Induced Fission

A dynamical approach to the neutron-induced fission of 255,257 Fm isotopes based on the time-dependent generator-coordinate method is applied. As the generating functions the eigensolutions of the constrained Hartree-Fock-Bogoliubov method with the effective D1S Gogny force are used. The here presented collective-dynamics calculations in the two-dimensional collective space described by quadrupole and octupole moments allow to determine the fragment mass distributions of those two Fm isotopes.

Time-dependent Hartree-Fock phase: Unique implication of variational principle

1979 ◽  
Vol 88 (3-4) ◽  
pp. 221-225 ◽  
Author(s):  
Peter C. Lichtner ◽  
James J. Griffin ◽  
Hildegard Schultheis ◽  
Rainer Schultheis ◽  
Anatole B. Volkov
Keyword(s):  
Variational Principle ◽  
Time Dependent ◽  
Hartree Fock

FISSION FRAGMENT PROPERTIES AT SCISSION WITH THE GOGNY FORCE

2008 ◽  
Vol 17 (01) ◽  
pp. 72-80 ◽  
Author(s):  
N. DUBRAY ◽  
H. GOUTTE ◽  
J.-F. BERGER ◽  
J.-P. DELAROCHE
Keyword(s):  
Fission Fragment ◽  
Large Deformations ◽  
Deformation Energy ◽  
Time Dependent ◽  
Two Dimensional ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Hartree Fock ◽  
Collective Coordinates ◽  
Generator Coordinate

Two-dimensional Hartree-Fock-Bogoliubov (HFB) calculations have been performed from spherical shapes to large deformations with constraints on axial quadrupole and octupole deformations in 238 U , 256–260 Fm and 226 Th actinides. Scission configurations have then been identified in this subspace of collective coordinates and many nuclear properties of the nascent fragments have been derived, such as deformation, deformation energy or prompt neutron multiplicity. The HFB states have then served as basis states for time-dependent collective calculations based on the Time-Dependent Generator Coordinate Method and the Gaussian Overlap Approximation to derive fission fragment yields.

Derivation of an adiabatic time-dependent Hartree-Fock formalism from a variational principle

1976 ◽  
Vol 258 (2) ◽  
pp. 237-256 ◽  
Author(s):  
D.M. Brink ◽  
M.J. Giannoni ◽  
M. Veneroni
Keyword(s):  
Variational Principle ◽  
Time Dependent ◽  
Hartree Fock

TETRAHEDRAL SYMMETRY IN NUCLEI: NEW PREDICTIONS BASED ON THE COLLECTIVE MODEL

2011 ◽  
Vol 20 (02) ◽  
pp. 500-506 ◽  
Author(s):  
A. DOBROWOLSKI ◽  
A. GÓŹDŹ ◽  
K. MAZUREK ◽  
J. DUDEK
Keyword(s):  
Potential Energy ◽  
Potential Energy Surfaces ◽  
Collective Model ◽  
Time Dependent ◽  
Two Dimensional ◽  
Tetrahedral Symmetry ◽  
Hartree Fock ◽  
Model Solutions ◽  
Energy Surfaces

We apply the standard collective nuclear Hamiltonian derived in the literature with the help of the Adiabatic Time Dependent Hartree-Fock (ATDHF) theory. We use a schematic two-dimensional collective space spanned by the axial-quadrupole (α20) vs. tetrahedral (α32) deformations together with the potential energy surfaces calculated microscopically. We illustrate and discuss the collective-model solutions suggesting that the tetrahedral-symmetry nuclei may generate sizeable quadrupole transitions: this result is in contrast to the previous expectations and/or predictions.

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