Model boson-fermion mixture within the self-consistent-field approximation

We study the ground state properties of a boson-fermion mixture interacting via a hard-core repulsive potential with an attractive tail at zero temperature. We use the self-consistent field approach to calculate the ground state partial structure factors and the effective interactions between the species. We compare our results with the experimental data on liquid 3He-4He mixtures to find qualitative agreement. Collective modes and dynamic structure factors for the mixture are also discussed. ©1999 The American Physical Society