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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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380 Chapter 10<br />

boron and beryllium fluxes respond very differently to a modification<br />

of the solar central temperature (Eq. 10.5). Because the boron flux<br />

h<strong>as</strong> been me<strong>as</strong>ured, even at a reduced strength, it is not possible to<br />

explain the missing beryllium neutrinos by a low solar temperature unless<br />

one is willing to contemplate simultaneously an extremely reduced<br />

temperature and an extremely enhanced S 17 factor.<br />

Many authors 57 have recently investigated the question of the significance<br />

of the solar neutrino problem, and if it can be solved by a<br />

plausible, or even implausible, combination of erroneous nuclear cross<br />

sections, solar opacities, and so <strong>for</strong>th. The consensus is that an <strong>as</strong>trophysical<br />

solution is not possible, even if one ignores part of the experimental<br />

data. There is no obvious uncertain input quantity into<br />

solar modelling or the flux predictions that could be tuned to obtain<br />

the me<strong>as</strong>ured fluxes. There<strong>for</strong>e, something mysterious is wrong with<br />

the calculation of the solar neutrino fluxes and/or the solar neutrino<br />

experiments.<br />

However, if our understanding of the solar neutrino source and of<br />

the detection experiments is not totally wrong, an attractive alternative<br />

is to contemplate the option that something happens to the neutrinos<br />

<strong>as</strong> they propagate from the solar core to us.<br />

10.6 Neutrino Oscillations<br />

10.6.1 Which Data to Use<br />

The idea to test the hypothesis of neutrino oscillations by means of<br />

the solar neutrino flux goes back to Pontecorvo (1957, 1958, 1967) and<br />

Maki, Nakagawa, and Sakata (1962). After the first me<strong>as</strong>urements<br />

in 1968 it w<strong>as</strong> revived by Gribov and Pontecorvo (1969) <strong>as</strong> well <strong>as</strong><br />

Bahcall and Frautschi (1969). If some of the ν e ’s produced in the Sun<br />

trans<strong>for</strong>med into ν e ’s, into other sequential neutrinos (ν µ , ν τ ), or into<br />

hypothetical sterile states ν s , the me<strong>as</strong>urable flux at Earth would be<br />

depleted. Even the Kamiokande detector which responds to ν µ and ν τ<br />

because of the possibility of neutral-current ν-e scattering would show<br />

a reduced flux because of the smaller cross section. The me<strong>as</strong>ured flux<br />

57 These include Bludman, Kennedy, and Langacker (1992a,b); Bludman et al.<br />

(1993); Bahcall and Bethe (1993); C<strong>as</strong>tellani, Degl’Innocenti, and Fiorentini<br />

(1993); C<strong>as</strong>tellani et al. (1994b); Hata, Bludman, and Langacker (1994); Shi and<br />

Schramm (1994); Shi, Schramm, and Dearborn (1994); Kwong and Rosen (1994);<br />

Bahcall (1994b); Berezinski (1994); Degl’Innocenti, Fiorentini, and Lissia (1995);<br />

Parke (1995); Hata and Haxton (1995); Haxton (1995).

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