Faddeev description of two-hole one-particle motion and the single-particle spectral function
Abstract
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.
Keywords
Cite
@article{arxiv.nucl-th/0012055,
title = {Faddeev description of two-hole one-particle motion and the single-particle spectral function},
author = {C. Barbieri and W. H. Dickhoff},
journal= {arXiv preprint arXiv:nucl-th/0012055},
year = {2009}
}
Comments
15 pages, 5 figures, RevTex; to be published in Phys. Rev. C