Dark Energy Coupled with Dark Matter in the Accelerating Universe

To model the observed Universe containing both dark energy and dark matter, we study the effective Yang- Mills condensate model of dark energy and add a non-relativistic matter component as the dark matter, which is generated out of the decaying dark energy at a constant rate Γ, a parameter of our model. For the Universe driven by these two components, the dynamic evolution still has asymptotic behaviour: the expansion of the Universe is accelerating with an asymptotically constant rate H, and the densities of both components approach to finite constant values. Moreover, Ω_Λ 0.7 for dark energy and Ω_m 0.3 for dark matter are achieved if the decay rate Γ is chosen such that Γ/H ~ 1.