RPA renormalisation of the effective interaction in a Hartree-Fock basis

Ellis, P.J.; Osnes, E.

doi:10.1016/0370-2693(72)90435-2

Cited by 27 publications

(1 citation statement)

References 13 publications

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“…It was shown [1] that in addition to the normal ladder sums, core-polarization diagrams should be included. Considerable effort has recently gone into the investigation of a consistent method of introducing such contributions [7][8][9][10][11][12][13], and the spectra of nuclei around closed shells, in particular nuclei with A = 18, have been analysed extensively. Whenever the core-excitation energy is considerably larger than the single particle energies in the model space, a static approximation for the effective interaction between the particles is reasonable.…”

Section: Introductionmentioning

confidence: 99%

An effective dynamic interaction for the two-particle propagator

Hahne¹,

Heiss²

1975

Z Physik A

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Abstract. In nuclear structure calculations the collective excitations of the core introduce dynamic effects in the interaction between particles. Under the restriction of including forward-going contributions only, it is shown that the two-particle propagator which yields the spectra and two-particle transfer strengths of nuclei with two nucleons outside a closed shell, can be written in a Dyson-like equation in which a two-particle self-energy or dynamic effective interaction A is introduced. An expression for A is given in terms of the irreducible vertex part of the Bethe-Salpeter equation and partial summations for A using phonon exchange interactions to represent the core-polarization diagrams, are discussed. The single-particle propagators are also dressed with phonon-exchange contributions.

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