Analytical theory of the dressed bound state in highly polarized Fermi gases
Laboratoire de Physique Statistique, Ecole Normale Supérieure - 24 rue Lhomond, 75231 Paris Cedex 05, France, EU
Corresponding author: email@example.com
Accepted: 2 December 2009
We present an analytical treatment of a single ↓-atom within a Fermi sea of ↑-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 for ↑- and ↓-atoms with different masses, which is of interest for experiments in progress.
PACS: 03.75.Ss – Degenerate Fermi gases / 05.30.Fk – Fermion systems and electron gas / 71.10.Ca – Electron gas, Fermi gas
© EPLA, 2009