“…The values of the other parameters are as follows: Ω m,0 = 0.237, Ω b,0 h 2 100 = 0.024, Ω φ,0 = 0.15(hence Ω Λ,0 = 0.613), m φ = 3.7 × 10 −31 h 100 eV, h 100 = 0.72 (Freedman et al 2001), n s = 1 is the spectral index (Harrison-Zel'dovich spectrum) for the initial condition for the matter density perturbation, T CMB,0 = 2.726 K (Mather et al 1999) for the present CMB temperature, and the optical depth of our universe is τ = 0.089 for the CMB, (Spergel et al 2007), which, together with ξ = −40, characterize the best-fit model proposed in the present study. Furthermore, we adopt Y He = 0.24 for the cosmic abundance(by mass) of He and 3.04 for the number of neutrino species (Nagata et al 2004). Also shown in Fig.9 is the theoretical spectrum computed for the ΛCDM model adopting Ω b,0 h 2 100 = 0.02229, Ω m,0 h 2 100 = 0.1277, h 100 = 0.732, n s = 0.958, and τ = 0.089 derived by the WMAP team (Spergel et al 2007) together with the WMAP 3-yr data.…”