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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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572 Chapter 16<br />

The main <strong>as</strong>pect of the current situation is that there does not seem<br />

to be a simple “<strong>as</strong>trophysical solution” to reconcile the solar source<br />

spectrum with the me<strong>as</strong>ured fluxes in experiments with three different<br />

spectral response characteristics. Even allowing <strong>for</strong> large modifications<br />

of the p 7 Be cross section or the solar central temperature does not yield<br />

consistency unless one stretches the experimental uncertainties of the<br />

flux me<strong>as</strong>urements beyond re<strong>as</strong>onable limits. Still, a final verdict on<br />

the question of solar neutrino oscillations can be expected only from<br />

the near-future experiments Superkamiokande, SNO, and BOREXINO<br />

<strong>as</strong> discussed in Chapter 10.<br />

16.2.3 Oscillation of Supernova Neutrinos<br />

Naturally, neutrino oscillations would also affect the characteristics of<br />

SN neutrinos which have been observed only from SN 1987A, although<br />

it is not unrealistic to hope <strong>for</strong> the observation of a galactic supernova<br />

at Superkamiokande or SNO within, say, a decade of operation. In water<br />

Cherenkov detectors, the main signal of SN neutrinos is thought to<br />

be from the ν e p → ne + reaction, although the angular characteristics of<br />

the SN 1987A observations do not square well with this <strong>as</strong>sumption except<br />

that there is no convincing alternate interpretation (Sect. 11.3.5).<br />

The MSW solution in the Sun requires a “normal” m<strong>as</strong>s hierarchy with<br />

ν e being dominated by the smaller m<strong>as</strong>s eigenstate. In this c<strong>as</strong>e resonant<br />

oscillations do not occur among the ν’s.<br />

Still, <strong>for</strong> large-angle vacuum oscillations such <strong>as</strong> those corresponding<br />

to the solar vacuum solution, the signal in the IMB and Kamiokande<br />

detectors would have been “hardened” by the partial swap of, say, the<br />

ν e with the ν µ spectrum. It is not entirely obvious from the current<br />

literature if this effect is ruled in or ruled out by the SN 1987A observations<br />

(Sect. 11.4.3).<br />

If the mixing angle of ν e with both ν µ and ν τ is small (sin 2 2θ ∼ < 0.1)<br />

there is no impact on the ν e SN signal. Still, the prompt ν e burst could<br />

be affected even <strong>for</strong> small mixing angles because of the possibility of<br />

resonant oscillations (Sect. 11.4.2) and so the observation of a future<br />

galactic supernova could serve to me<strong>as</strong>ure this effect.<br />

If one were to contemplate more general neutrino m<strong>as</strong>s matrices<br />

with an “inversion” so that ν e is not dominated by the lowest-m<strong>as</strong>s<br />

eigenstate, there could be resonant oscillations in the ν sector which<br />

would then lead to dramatic modifications of the SN signal in a large<br />

range of m<strong>as</strong>ses and mixing angles. This possibility h<strong>as</strong> not been explored<br />

much in the literature.

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