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We develop a strong-coupling theory for the superfluidity of fermion pairingphase in a Bose-Fermi mixture. Dynamical screening, self-energyrenormalization, and a pairing gap function are included self-consistentlywithin the adiabatic limit (i.e., the phonon velocity is much smaller than theFermi velocity). An analytical solution for the transition temperature (Tc) isderived within reasonable approximations. Using typical parameters of a40K-87Rb mixture, we find that the calculated Tc is several times larger thanthat obtained in the weak coupling theory, and can be up to several percents ofthe Fermi temperature.Comment: 4 pages and 3 figure

Strong-Coupling Theory for the Superfluidity of Bose-Fermi Mixtures