Probing the coupling between dark components of the universe

We place observational constraints on a coupling between dark energy and dark matter by using 71 Type Ia supernovae (SNe Ia) from the first year of the five-year Supernova Legacy Survey (SNLS), the cosmic microwave background (CMB) shift parameter from the three-year Wilkinson Microwave Anisotropy Probe (WMAP), and the baryon acoustic oscillation (BAO) peak found in the Sloan Digital Sky Survey (SDSS). The interactions we study are (i) constant coupling and (ii) varying coupling (z) that depends on a redshift z, both of which have simple parametrizations of the Hubble parameter to confront with observational data. We find that the combination of the three databases marginalized over a present dark energy density gives stringent constraints on the coupling, -0. 08<<0. 03 (95% C. L. ) in the constant coupling model and -0. 4<₀<0. 1 (95% C. L. ) in the varying coupling model, where ₀ is a present value. The uncoupled model (wₗ=-1 and =0) still remains a good fit to the data, but the negative coupling (<0) with the equation of state of dark energy wₗ<-1 is slightly favored over the model.