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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Solar Neutrinos 367<br />

Fig. 10.10. Differential scattering cross section <strong>for</strong> ν e e → eν e according to<br />

Eq. (10.18), normalized to unity <strong>for</strong> θ = 0, where θ is the angle between the<br />

incident neutrino and final-state electron.<br />

device and thus a true “neutrino telescope.” Thus, <strong>for</strong> the first time<br />

the Kamiokande detector actually proved that neutrinos are coming<br />

from the direction of the Sun. The first main publication of these<br />

results w<strong>as</strong> by Hirata et al. (1991) from a data sample of 1040 live detector<br />

days, taken between 1987 and 1990; an update including data<br />

until July 1993 (a total of 1670 live detector days) w<strong>as</strong> given by Suzuki<br />

(1995). The angular distribution of the registered electrons relative to<br />

the direction of the Sun is shown in Fig. 10.11. Even though there<br />

remains an isotropic background, probably from radioactive impurities<br />

in the water, the solar neutrino signal beautifully shows up in these<br />

me<strong>as</strong>urements.<br />

In el<strong>as</strong>tic neutrino-electron scattering, the energy distribution of the<br />

kicked electrons is nearly flat so that the spectral shape of the incident<br />

neutrino flux is only indirectly represented by the me<strong>as</strong>ured electron<br />

spectrum. In Fig. 10.12 the electron recoil spectrum is shown <strong>for</strong> an<br />

incident spectrum of 8 B neutrinos. A water Cherenkov detector can<br />

resolve the energy of the charged particles from the intensity of the<br />

me<strong>as</strong>ured light which <strong>for</strong> low-energy electrons is roughly proportional<br />

to the energy. There<strong>for</strong>e, the electron recoil spectrum from the interaction<br />

with solar neutrinos can be resolved at Kamiokande. The me<strong>as</strong>ured<br />

shape relative to the theoretically expected one is shown in Fig. 10.13,<br />

arbitrarily normalized at E ν = 9.5 MeV (Suzuki 1995). Within statistical<br />

fluctuations the agreement is perfect.

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