Exact angular momentum projection of cranked Hartree-Fock-Bogoliubov wave functions

1982 ◽  
Vol 385 (1) ◽  
pp. 14-28 ◽  
Author(s):  
K. Hara ◽  
A. Hayashi ◽  
P. Ring
Keyword(s):  
Angular Momentum ◽  
Wave Functions ◽  
Angular Momentum Projection ◽  
Hartree Fock

ON THE STABILITY OF PROJECTION AFTER VARIATION SOLUTIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 165-168 ◽  
Author(s):  
T. R. RODRÍGUEZ ◽  
J. L. EGIDO ◽  
L. M. ROBLEDO ◽  
R. R. RODRÍGUEZ-GUZMÁN
Keyword(s):  
Angular Momentum ◽  
Ground State ◽  
Quadrupole Deformation ◽  
Wave Functions ◽  
Degree Of Freedom ◽  
Angular Momentum Projection ◽  
Hartree Fock ◽  
The Stability ◽  
Relevant Degree ◽  
Stability Of The Solution

We have performed angular momentum projection with double-constrained Hartree-Fock-Bogoliubov wave functions with the Gogny interaction for the 32 Mg . We show that the more relevant degree of freedom is the quadrupole deformation. Minima of the ground state obtained in single-constrained calculations with this operator are hardly modified in double-constrained calculations insuring thereby the stability of the solution.

d3/2 hole states in scandium isotopes

1970 ◽  
Vol 48 (10) ◽  
pp. 1208-1213 ◽  
Author(s):  
I. P. Johnstone
Keyword(s):  
Angular Momentum ◽  
Binding Energies ◽  
Wave Functions ◽  
Angular Momentum Projection ◽  
Hartree Fock ◽  
Spectroscopic Factors ◽  
Higher Spin ◽  
Hole Interaction ◽  
Titanium Isotopes

Hole states in scandium isotopes are investigated by coupling a d3/2 hole to low-lying states of the neighboring titanium isotopes. Titanium wave functions are obtained by angular momentum projection from 1f2p-shell Hartree–Fock intrinsic states, and diagonalizations are carried out using the Gillet and Sanderson particle–hole interaction. The binding energies of the 3/2 + states in 43Sc, 45Sc, and 47Sc are well reproduced, as is the spacing between higher-spin levels of the K = 3/2 bands, and the polarization of the titanium cores has approximately the magnitude needed to account for the long M2 lifetimes. The model fails to give any low-lying hole states in 44Sc, but a calculation of spectroscopic factors does account for the absence of observable l = 2 strength below 1.6 MeV in the 43Ca(3He,d)44Sc reaction.

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