Do non-relativistic neutrinos constitute the dark matter?

Th. M. Nieuwenhuizen

doi:10.1209/0295-5075/86/59001

paper

Do non-relativistic neutrinos constitute the dark matter?

arXiv:0812.4552 · doi:10.1209/0295-5075/86/59001

Abstract

The dark matter of the Abell 1689 galaxy cluster is modeled by thermal, non-relativistic gravitating fermions and its galaxies and X-ray gas by isothermal distributions. A fit yields a mass of $h_{70}^{1/2} (12/ g)^{1/4}$ 1.445 $(30)$ eV. A dark matter fraction $Ω_{ν} = h_{70}^{- 3/2} 0.1893$ $(39)$ occurs for $g = 12$ degrees of freedom, i. e., for 3 families of left plus right handed neutrinos with masses $\approx 2^{3/4} G_{F}^{1/2} m_{e}^{2}$ . Given a temperature of 0.045 K and a de Broglie length of 0.20 mm, they establish a quantum structure of several million light years across, the largest known in the Universe. The virial $α$ -particle temperature of $9.9 \pm 1.1$ keV $/ k_{B}$ coincides with the average one of X-rays. The results are compatible with neutrino genesis, nucleosynthesis and free streaming. The neutrinos condense on the cluster at redshift $z \sim 28$ , thereby causing reionization of the intracluster gas without assistance of heavy stars. The baryons are poor tracers of the dark matter density.

Extended published version, 6.1 pages, 2 figures

Do non-relativistic neutrinos constitute the dark matter?

Abstract

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