“…Among the other atmospheric neutrino experiments, only Soudan II [27] sees an anomaly with a preliminary value of R = 0.69 ±0.19 ±0.09. The Frejus [28] results are marginally in conflict with the combined Kamiokande and IMB data. Considering the low statistics of Frejus experiment compared with the high statistical significance of Kamiokande and IMB data, we shall ignore this marginal discrepancy in our theoretical discussions.…”
We explore the implications of possible neutrino oscillations, as indicated by the solar and atmospheric neutrino experiments, for the cold plus hot dark matter scenario of large scale structure formation. We find that there are essentially three distinct schemes that can accommodate the oscillation data and which also allow for dark matter neutrinos. These include (i) three nearly degenerate (in mass) neutrinos, (ii) non-degenerate masses with ν τ in the eV range, and (iii) nearly degenerate ν µ − ν τ pair (in the eV range), with the additional possibility that the electron neutrino is cosmologically significant. The last two schemes invoke a 'sterile' neutrino which is light ( < ∼ eV). We discuss the implications of these schemes forν µ −ν e and ν µ − ν τ oscillation, and find that scheme (ii) in particular, predicts them to be in the observable range. As far as structure formation is concerned, we compare the one neutrino flavor case with a variety of other possibilities, including two and three degenerate neutrino flavors. We show, both analytically and numerically, the effects of these neutrino mass scenarios on the amplitude of cosmological density fluctuations. With a Hubble constant of 50 km s −1 Mpc −1 , a spectral index of unity, and Ω baryon = 0.05, the two and three flavor scenarios fit the observational data marginally better than the single flavor scheme. However, taking account of the uncertainties in these parameters, we show that it is premature to pick a clear winner.
“…Among the other atmospheric neutrino experiments, only Soudan II [27] sees an anomaly with a preliminary value of R = 0.69 ±0.19 ±0.09. The Frejus [28] results are marginally in conflict with the combined Kamiokande and IMB data. Considering the low statistics of Frejus experiment compared with the high statistical significance of Kamiokande and IMB data, we shall ignore this marginal discrepancy in our theoretical discussions.…”
We explore the implications of possible neutrino oscillations, as indicated by the solar and atmospheric neutrino experiments, for the cold plus hot dark matter scenario of large scale structure formation. We find that there are essentially three distinct schemes that can accommodate the oscillation data and which also allow for dark matter neutrinos. These include (i) three nearly degenerate (in mass) neutrinos, (ii) non-degenerate masses with ν τ in the eV range, and (iii) nearly degenerate ν µ − ν τ pair (in the eV range), with the additional possibility that the electron neutrino is cosmologically significant. The last two schemes invoke a 'sterile' neutrino which is light ( < ∼ eV). We discuss the implications of these schemes forν µ −ν e and ν µ − ν τ oscillation, and find that scheme (ii) in particular, predicts them to be in the observable range. As far as structure formation is concerned, we compare the one neutrino flavor case with a variety of other possibilities, including two and three degenerate neutrino flavors. We show, both analytically and numerically, the effects of these neutrino mass scenarios on the amplitude of cosmological density fluctuations. With a Hubble constant of 50 km s −1 Mpc −1 , a spectral index of unity, and Ω baryon = 0.05, the two and three flavor scenarios fit the observational data marginally better than the single flavor scheme. However, taking account of the uncertainties in these parameters, we show that it is premature to pick a clear winner.
“…In their atmospheric analysis, the Fréjus collaboration used the e/µ flavor ratio to divine their confidence limits in (sin 2 (2θ 23 ), ∆m 2 23 ) . They excluded the region sin 2 (2θ 23 ) > 0.6, ∆m 2 23 > 3.5 × 10 −3 eV 2 , and so while the Fréjus data did not suggest oscillation, it also did not exclude any of the Super-Kamiokande 99% confidence allowed region, save for a small slice at the very highest ∆m 2 23 values (see Figure 2.9) [22]. In a modern context, the Fréjus analysis is inconclusive.…”
“…Frejus [33] 0.87 ± 0.16 ± 0.08 Table 2 collapse driven supernova, the inner core collapses subsonically, but the outer part of the core supersonically. At some point during the collapse, when the nuclear equation of state stiffens, the inner part of the core bounces, but the outer core continues falling in.…”
Section: Neutrino Flavor Mixing In Supernovaementioning
Astrophysical implications of neutrino mass and mixings are discussed. The status of solar and atmospheric neutrino problems, and recent developments concerning nuclear physics input to solar models and solar opacities are reviewed. Implications of neutrino mass and mixings in supernova dynamics are explored. The effects of supernova density fluctuations in neutrino propagation is described.
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