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arXiv · 0907.3197

Analytical theory of the dressed bound state in highly polarized Fermi gases

R. Combescot·S. Giraud·X. Leyronas
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Abstract

We present an analytical treatment of a single \down atom within a Fermi sea of \up atoms, when the interaction is strong enough to produce a bound state, dressed by the Fermi sea. Our method makes use of a diagrammatic analysis, with the involved diagrams taking only into account at most two particle-hole pairs excitations. The agreement with existing Monte-Carlo results is excellent. In the BEC limit our equation reduces exactly to the Skorniakov and Ter-Martirosian equation. We present results when \up and \down atoms have different masses, which is of interest for experiments in progress.

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R. Combescot, S. Giraud, X. Leyronas. 2009-07-18. Analytical theory of the dressed bound state in highly polarized Fermi gases. https://doi.org/10.1209/0295-5075%2F88%2F60007

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