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We show that in dilute boson-fermion mixtures with fermions in two internalstates, even when the bare fermion-fermion interaction is repulsive, theexchange of density fluctuations of the Bose condensate may lead to aneffective fermion-fermion attraction, and thus to a Cooper instability in thes-wave channel. We give an analytical method to derive the associated $T_c$ inthe limit where the phonon branch of the Bogoliubov excitation spectrum of thebosons is important. We find a $T_c$ of the same order as for a pure Fermi gaswith bare attraction.Comment: 12 pages, no figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Boson-induced<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-wave pairing in dilute boson-fermion mixtures

Boson-induceds-wave pairing in dilute boson-fermion mixtures