Generalized Brückner-Hartree-Fock theory and self-consistent RPA - INSPIRE

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Generalized Brückner-Hartree-Fock theory and self-consistent RPA

1998

24 pages

Published in:

Nucl.Phys.A 628 (1998) 17-40

Published: 1998

DOI:

10.1016/S0375-9474(97)00606-4

View in:

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Abstract: (Elsevier)

Self-consistent RPA (SCRPA) theory is developed in the particle-particle (pp) channel. It is pointed out that in this way vertex and self-energy corrections are taken into account on an equal footing whereas in Brückner-Hartree-Fock (BHF) this is not the case. We discuss in detail the interconnection between both theories and apply them to a model case. Excellent agreement with the exact solution is found for SCRPA where as BHF gives somewhat poorer results. In an appendix it is demonstrated how SCRPA connects to a variational principle and how, for the particle-hole case, sum rules and conservation laws are fulfilled.

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