Faddeev description of two-hole one-particle motion and the single-particle spectral function

Details Faddeev description of two-hole one-particle motion and the single-particle spectral function Faddeev description of two-hole one-particle motion and the single-particle spectral function

2000-12-14

arxiv.org/abs/nucl-th/0012055v1

Phys.Rev. C63 (2001) 034313

Physics

Nuclear Physics

Nuclear Theory

15 pages, 5 figures, RevTex; to be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.63.034313

The Faddeev technique is employed to address the problem of describing the influence of both particle-particle and particle-hole phonons on the single-particle self-energy. The scope of the few-body Faddeev equations is extended to describe the motion of two-hole one-particle (two-particle one-hole) excitations. This formalism allows to sum both particle-particle and particle-hole phonons, obtained separately in the Random Phase Approximation. The appearance of spurious solutions for the present application of the Faddeev method is related to the inclusion of a consistent set of diagrams. The formalism presented here appears practical for finite nuclei and achieves a simultaneous inclusion of particle-particle and particle-hole phonons to all orders while the spurious solutions are properly eliminated.

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