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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Solar Neutrinos 391<br />

The small- and large-angle MSW solutions suggested by Fig. 10.19<br />

would cause a day/night variation of the solar neutrino signal <strong>as</strong> indicated<br />

in Fig. 10.20. The expected signal is shown in bins <strong>for</strong> the angle<br />

between the Sun and the nadir of the detector, i.e. in bins of the intersection<br />

length of the neutrino flight path with the Earth. Also shown<br />

are the current Kamiokande me<strong>as</strong>urements, and the expected error bars<br />

after 1 month and 1 year of Superkamiokande running time, respectively.<br />

Shortly after Superkamiokande starts taking data one should be<br />

able to decide whether the large-angle MSW solution applies!<br />

The MSW solutions would also cause a spectral distortion of the recoil<br />

electron spectrum from the primary boron neutrinos. The expected<br />

spectral shape relative to the standard one, arbitrarily normalized at an<br />

electron kinetic energy of T e = 10 MeV, is shown in Fig. 10.21 <strong>for</strong> several<br />

values of the <strong>as</strong>sumed mixing angle. After several years of running,<br />

Superkamiokande should be able to identify clearly the small-angle solution<br />

if it applies.<br />

If Superkamiokande me<strong>as</strong>ures neither a spectral distortion nor a<br />

day/night effect, the deficiency of the boron flux probably would have<br />

Fig. 10.21. Spectral distortion of the recoil electrons from the primary boron<br />

neutrinos in a water Cherenkov detector. The ratio relative to the standard<br />

spectrum is arbitrarily normalized at an electron kinetic energy of T e =<br />

10 MeV. For the large-angle example (solid line) the <strong>as</strong>sumed m<strong>as</strong>s-square<br />

difference is ∆m 2 ν = 2×10 −5 eV 2 , <strong>for</strong> the small-angle examples (broken lines)<br />

it is ∆m 2 ν = 0.6×10 −5 eV 2 . The anticipated error bars after 5 years of<br />

running Superkamiokande are also indicated <strong>for</strong> two energies. (Adapted<br />

from Kr<strong>as</strong>tev and Smirnov 1994.)

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