FERMI PAIRING IN DILUTE 3He-HeII MIXTURES

Author:

AL-SUGHEIR M. K.1,GHASSIB H. B.2,JOUDEH B. R.2

Affiliation:

1. Department of Physics, The Hashemite University, Zarqa, Jordan

2. Department of Physics, Faculty of Science, University of Jordan, Amman, Jordan

Abstract

In this paper the Galitskii–Migdal–Feynman (GMF) formalism is applied to dilute 3He-HeII mixtures. In particular, the effect of the hole-hole scattering on pairing in these systems is investigated. To this end, the relative phase shifts incorporating many-body effects based on both Brueckner–Bethe–Goldstone (BBG) and GMF formalisms are calculated. In the GMF formalism, the S-wave phase shift at zero relative momentum is –π and has a cusp at the Fermi momentum; while in the BBG formalism, this phase shift has zero values up to the Fermi momentum. From these results we conclude that hole-hole scattering plays a crucial role in any possible fermion-fermion pairing in these systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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