Generalized Galitskii approach for the vertex function of a Fermi gas with resonant interaction

A. Vagov, H. Schomerus, and A. Shanenko
Phys. Rev. B 76, 214513 – Published 28 December 2007

Abstract

We present a generalized Galitskii approach for the Bethe-Salpeter equation for the two-particle vertex function of a Fermi system with the resonant interaction by accounting for the resonant state in the scattering potential and utilizing the universal form of the resonant scattering amplitude. The procedure can be carried out both for the normal as well as for the condensate state. In both cases, the vertex function in the vicinity of the resonance is shown to formally coincide with that obtained for a weakly attractive Fermi gas. Thus we justify the popular calculational framework in which results for the weakly attractive Fermi gas are formally extrapolated into the domain of strong coupling, and further to the repulsive side of the resonance, where molecular states are formed.

  • Received 1 August 2007

DOI:https://doi.org/10.1103/PhysRevB.76.214513

©2007 American Physical Society

Authors & Affiliations

A. Vagov and H. Schomerus

  • Department of Physics, Lancaster University, Bailrigg, Lancaster LA1 4YB, United Kingdom

A. Shanenko

  • Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, B-2020 Antwerpen, Belgium

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Issue

Vol. 76, Iss. 21 — 1 December 2007

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