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.

Hartree–Fock calculation for the electronic structure of H+3 using numerically optimized orbitals

2001 ◽  
Vol 79 (2-3) ◽  
pp. 673-679
Author(s):  
J D Talman
Keyword(s):  
Electronic Structure ◽  
Ground State ◽  
Equilateral Triangle ◽  
Wave Functions ◽  
Equilibrium Geometry ◽  
Molecular Ion ◽  
Interatomic Spacing ◽  
Hartree Fock ◽  
Gaussian Orbitals

The Hartree–Fock wave functions for the ground state of the H2 molecule and the H+3 molecular ion are computed using radial orbitals that are numerically optimized. It is shown that these orbitals yield results comparable in accuracy to those obtained using much larger bases of Gaussian orbitals. As in previous calculations, the equilibrium geometry for H+3 is found to be that of an equilateral triangle, with an interatomic spacing of 1.64a0. PACS No.: 13.15+q

Inelastic Scattering of High Energy Electrons by Helium

1973 ◽  
Vol 51 (3) ◽  
pp. 311-315 ◽  
Author(s):  
S. P. Ojha ◽  
P. Tiwari ◽  
D. K. Rai
Keyword(s):  
Ground State ◽  
High Energy ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Final States ◽  
Interaction Type ◽  
Hartree Fock ◽  
High Energy Electrons ◽  
Approximate Wave ◽  
Accurate Wave

Generalized oscillator strengths and the cross section for excitation of helium by electron impact have been calculated in the Born approximation. Transitions from the ground state to the n1P (n = 2 and 3) states have been considered. Highly accurate wave functions of the Hartree–Fock and "configuration–interaction" type have been used to represent the ground state. Approximate wave functions due to Messmer have been employed for the final states. The results are compared with other calculations and with experiment.

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