We consider a mixture of a spin-polarized Fermi gas and a dipolarBose-Einstein condensate in which s-wave scattering between fermions and thequasiparticles of the dipolar condensate can result in an effective attractiveFermi-Fermi interaction anisotropic in nature and tunable by the dipolarinteraction. We show that such an interaction can significantly increase theprospect of realizing a superfluid with a gap parameter characterized with acoherent superposition of all odd partial waves. We formulate, in the spirit ofthe Hartree-Fock-Bogoliubov mean-field approach, a theory which allows us toestimate the critical temperature when the anisotropic Fock potential is takeninto consideration and to determine the system parameters that optimize thecritical temperature at which such a superfluid emerges before the systembegins to phase separate.
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