Model for stars of interacting bosons and fermions - art. no. 123003

In this paper we introduce a current-current type interaction term in the L agrangian density of gravity coupled to complex scalar fields, in the prese nce of a degenerated Fermi gas. For low transferred momenta, such a term, w hich might account for the interaction among boson and fermion constituents of compact stellar objects, is subsequently reduced to a quadratic one in the scalar sector. This procedure enforces the use of a complex radial held counterpart in the equations of motion. The real and the imaginary compone nts of the scalar field exhibit different behavior as the interaction incre ases. The results also suggest that the Bose-Fermi system undergoes a phase transition for a suitable choice of the coupling constant. [S0556-2821(98) 07720-0].