TY - JOUR

T1 - Effective interactions

T2 - Qualitative discussion of Hartree-Fock effects

AU - Goodin, F. L.

AU - Ellis, P. J.

AU - Goode, P. R.

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1977

Y1 - 1977

N2 - We calculate the effective interaction for O18 in a simulated Hartree-Fock basis by taking a fixed oscillator parameter of 1.7 fm for the s and p shells and a variable parameter bu for the sd and pf shells. A central interaction is used and diagrams of first, second, and third order in V are calculated. The dominant effect is one of scaling with diagrams of second and third order all decreasing in the same exponential fashion as a function of bu. Comparing pure oscillator (bu=1.7 fm) and simulated Hartree-Fock (bu=2.0 fm) results, we find a reduction factor of roughly 0.7, 0.72, and 0.73 for first, second, and third order, respectively. Diagrams containing a particle-particle ladder usually fall off somewhat less rapidly than the others. The implications of these model results are discussed. NUCLEAR STRUCTURE Effective interaction theory; model simulation of a Hartree-Fock basis.

AB - We calculate the effective interaction for O18 in a simulated Hartree-Fock basis by taking a fixed oscillator parameter of 1.7 fm for the s and p shells and a variable parameter bu for the sd and pf shells. A central interaction is used and diagrams of first, second, and third order in V are calculated. The dominant effect is one of scaling with diagrams of second and third order all decreasing in the same exponential fashion as a function of bu. Comparing pure oscillator (bu=1.7 fm) and simulated Hartree-Fock (bu=2.0 fm) results, we find a reduction factor of roughly 0.7, 0.72, and 0.73 for first, second, and third order, respectively. Diagrams containing a particle-particle ladder usually fall off somewhat less rapidly than the others. The implications of these model results are discussed. NUCLEAR STRUCTURE Effective interaction theory; model simulation of a Hartree-Fock basis.

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U2 - 10.1103/PhysRevC.16.784

DO - 10.1103/PhysRevC.16.784

M3 - Article

AN - SCOPUS:35949039734

VL - 16

SP - 784

EP - 791

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 2

ER -