The transformation from a harmonic single‐particle basis to the self‐consistent harmonic approximation

1973 ◽  
Vol 14 (7) ◽  
pp. 839-848 ◽  
Author(s):  
Laurent G. Caron
Keyword(s):  
Single Particle ◽  
Harmonic Approximation ◽  
The Self ◽  
Self Consistent ◽  
Single Particle Basis

NOTE ON THE SINGLE-PARTICLE ENERGY AND THE BINDING ENERGY OF MANY-BODY, SATURATED SYSTEMS

1958 ◽  
Vol 36 (10) ◽  
pp. 1261-1264
Author(s):  
George A. Baker Jr.
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Particle Energy ◽  
The Self ◽  
Exclusion Principle ◽  
Single Particle Energy ◽  
Many Body ◽  
Self Consistent ◽  
Particle Potential ◽  
Single Particle Potential

Brueckner has recently pointed out that, for saturation, (Eav−E(pF)) does not vanish in general because of "important many-body contributions to the single particle energy which arise from the effects of the exclusion principle and from the variation of the self-consistent excitation spectrum with density." It is the purpose of this note to evaluate this difference in terms of the properties of the single-particle potential.

A Microscopic Self-consistent Calculation with Saturation Diagrams in 16O

1975 ◽  
Vol 53 (20) ◽  
pp. 2261-2266 ◽  
Author(s):  
B. Rouben ◽  
R. Padjen ◽  
D. Gogny ◽  
P. Pirès
Keyword(s):  
State Space ◽  
Single Particle ◽  
Charge Radius ◽  
Particle Removal ◽  
Unoccupied State ◽  
Self Consistent ◽  
G Matrices ◽  
Self Consistency ◽  
Better Than ◽  
Single Particle Basis

Self-consistent calculations are performed in 16O with effective G matrices obtained from two different soft core interactions. The calculations possess the 'triple' self-consistency: (a) on the single particle basis, (b) on the single particle eigenvalues (Brueckner self-consistency), and (c) on the occupation probabilities. Two different procedures of calculating the latter are carried out, one involving a truncation of the unoccupied state space, one involving no truncation. The truncation effects are studied and shown to increase with the hardness of the interaction. A comparison is also made to calculations where the Brueckner self-consistency is satisfied only on the average. The total and single particle removal energies for both forces are quite satisfactory, the Pirès – Gogny – de Tourreil interaction performing slightly better than that of de Tourreil – Sprung. The charge radius is approximately 10% too small.

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