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Two-scalar-field model for the interaction of dark energy and dark matter

In this paper, we study the effects of an interaction between dark matter and dark energy through a two scalar field model with a potential $V(ϕ,χ)=e^{-λϕ}P(ϕ,χ)$, where $P(ϕ,χ)$ is a polynomial. We show that the cosmic expansion dynamics of the Universe is reproduced for a large range of the bare mass of the dark matter field and that there exist solutions with transient accelerated expansion. A modification in the exponential behavior of the potential is studied, with important physical implications, including the possibility of more realistic transient acceleration solutions.