Cosmologically Interesting Neutrinos and Heavy Element Nucleosynthesis in Supernovae

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We show that the heavy element nucleosynthesis from the ``hot-bubble'' in the late evolution of a supernova is sensitive to neutrino flavor mixing. In particular, a nu_ μ or nu_ τ with a mass in the range of 1--100 eV (coincidentally the mass range of interest for neutrino dark matter) would have a mass-level-crossing with nu_e above the neutrino-sphere and below the region where nucleosynthesis takes place. Significant conversion between nu_e and nu_ τ (or nu_ μ) will drive the material in this region proton-rich and thus precludes any r-process nucleosynthesis of heavy elements. We show that this occurs whenever the vacuum mixing angle between nu_e and nu_ τ (or nu_ μ) satisfies sin (22theta >) 10(-6) --10(-4) depending on the nu_ τ (or nu_ μ) mass. If the ``hot-bubble'' is the site of r-process nucleosynthesis, then these results place severe constraints on neutrino dark matter. If, on the other hand, nu_ μ or nu_ τ are ever shown to have masses and mixing angles in the relevant range, then we conclude that the r-process must come from another site. We show that our results are independent of the uncertain details of supernova explosion physics. This work is supported by NSF grant PHY--9121623.

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