COLD PLUS HOT DARK-MATTER AND THE COSMIC MICROWAVE BACKGROUND

We examine the cosmic microwave background power spectrum for adiabati c models with a massive neutrino component. We present the results of a detailed numerical evolution of cold + hot dark matter (CHDM) models and compare these results with the standard cold dark matter (CDM) sp ectrum. The difference is of order 5%-10% for 400 < l < 1000 for curre ntly popular CHDM models. Using semianalytic approximations, we also d iscuss the relevant physics involved. Finally, we remark on the abilit y of future experiments to differentiate between these models. An all- sky experiment with a beam size smaller than 30' can distinguish betwe en CHDM and CDM if other cosmological parameters are known. Even allow ing other parameters to vary, it may be possible to distinguish CDM fr om CHDM.