Cy. Cardall et Gm. Fuller, CAN A NATURAL 3-GENERATION NEUTRINO MIXING SCHEME SATISFY EVERYTHING, Physical review. D. Particles and fields, 53(8), 1996, pp. 4421-4429
We examine the potential for a ''natural'' three-neutrino mixing schem
e to satisfy available data and astrophysical arguments. By ''natural'
' we mean no sterile neutrinos, and a neutrino mass hierarchy similar
to that of the charged leptons. We seek to satisfy (or solve) (1) acce
lerator and reactor neutrino oscillation constraints, including LSND,
(2) the atmospheric muon neutrino deficit problem, (3) the solar neutr
ino problem, (4) r-process nucleosynthesis in neutrino-heated supernov
a ejecta, and (5) cold+hot dark matter models. We argue that putative
supernova r-process nucleosynthesis bounds on two-neutrino flavor mixi
ng can be applied directly to three-neutrino mixing in the case where
one vacuum neutrino mass eigenvalue difference is dominated by the oth
ers. We show that in this ''one mass scale dominance'' limit, a natura
l three-neutrino oscillation solution meeting all the above constraint
s exists only if the atmospheric neutrino data and the LSND data can b
e explained with one neutrino mass difference. In this model, an expla
nation for the solar neutrino data can be effected by employing the ot
her independent neutrino mass difference. Such a solution is only marg
inally allowed by the current data, and proposed long-baseline neutrin
o oscillation experiments can definitively rule it out. If it were rul
ed out, the simultaneous solution of the above constraints by neutrino
oscillations would then require sterile neutrinos and/or a neutrino m
ass hierarchy of a different nature than that of the charged leptons.