p -wave Cooper pairing of fermions in mixtures of dilute Fermi and Bose gases

We predict a p-wave Cooper pairing of the spin-polarized fermions in a binary fermion-boson mixture due to the exchange of density fluctuations of the bosonic medium. We then examine the dependence of the Cooper pairing temperature on the parameters of the system. We finally estimate the effect of combining the boson-induced interaction with other pairing mechanisms, e.g., the Kohn-Luttinger one, and find that the critical temperature of p-wave Cooper pairing can be realistic for experiment.