Nuclear deformation energy curves with the constrained Hartree-Fock method

1973 ◽  
Vol 203 (3) ◽  
pp. 433-472 ◽  
Author(s):  
H. Flocard ◽  
P. Quentin ◽  
A.K. Kerman ◽  
D. Vautherin
2006 ◽  
Vol 15 (08) ◽  
pp. 1779-1788
Author(s):  
XIAN-RONG ZHOU ◽  
H. SAGAWA ◽  
XI-ZHEN ZHANG

In the frame of deformed Skyrme Hartree-Fock (HF) model with pairing correlations, the strong mass number dependence of quadrupole deformations in sd and pf shell nuclei with mass A =(16 ~ 56) is studied as a clear manifestation of the evolution of nuclear deformation in nuclear many-body systems. The competition between the deformation driving particle-vibration coupling and the shell structure is shown by a systematic study on the ratios of the protons to neutrons quadrupole moments in nuclei with T =| T z|=1. The mass number dependence of deformations obtained by deformed HF calculations is compared with the results of shell model and experimental data.


2008 ◽  
Vol 17 (01) ◽  
pp. 72-80 ◽  
Author(s):  
N. DUBRAY ◽  
H. GOUTTE ◽  
J.-F. BERGER ◽  
J.-P. DELAROCHE

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.


2016 ◽  
Vol 25 (03) ◽  
pp. 1650016 ◽  
Author(s):  
V. M. Kolomietz ◽  
A. I. Sanzhur ◽  
B. V. Reznychenko

In this paper, we apply the direct variational method to derive the nuclear deformation energy. The extended Thomas–Fermi approximation (ETFA) for the energy functional with Skyrme forces is used. We study the influence of the finite surface layer of the nuclear density profile function on the formation of the fission barrier and the scission configuration. Comparison of the variational approach with the traditional liquid drop model (LDM) is presented. We show the sensitivity of the numerical results to the surface diffuseness parameter.


1970 ◽  
Vol 32 (4) ◽  
pp. 229-232 ◽  
Author(s):  
K. Albrecht ◽  
D. Scharnweber ◽  
W. Greiner ◽  
U. Mosel

1976 ◽  
Vol 61 (2) ◽  
pp. 133-138 ◽  
Author(s):  
A. Faessler ◽  
R̵.R. Hilton ◽  
K.R. Sandhya Devi

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