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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Supernova Neutrinos 419<br />

to multiple scattering varies from about 34 ◦ at E e = 5 MeV to 22 ◦ at<br />

20 MeV (Hirata 1991).<br />

The direction of motion of the charged lepton relative to the incident<br />

neutrino is well preserved in νe collisions (Sect. 10.3.4) so that the<br />

main limitation to a reconstruction of the primary neutrino direction is<br />

multiple Coulomb scattering. For the ν e p reaction, the angular distribution<br />

is isotropic, apart from a small (about 10%) backward <strong>as</strong>ymmetry<br />

(e.g. Boehm and Vogel 1987). The ν 16 e O reaction yields a distribution<br />

approximately proportional to 1 − 1 cos Θ, i.e. it is also nearly isotropic<br />

3<br />

with a backward bi<strong>as</strong> (Haxton 1987). As a SN is expected to produce all<br />

(anti)neutrino flavors in about equal numbers, the signal is dominated<br />

by the isotropic ν e p reaction.<br />

Table 11.1. Neutrino burst at the Kamiokande detector (Hirata et al. 1988).<br />

The time is relative to the first event at 7:35:35 ± 0:01:00 UT, 23 Feb. 1987.<br />

The energy refers to the detected e ± , not to the primary neutrino.<br />

Event Time Angle Energy<br />

[s] [degree] [MeV]<br />

1 0.000 18 ± 18 20.0 ± 2.9<br />

2 0.107 40 ± 27 13.5 ± 3.2<br />

3 0.303 108 ± 32 7.5 ± 2.0<br />

4 0.324 70 ± 30 9.2 ± 2.7<br />

5 0.507 135 ± 23 12.8 ± 2.9<br />

6 a 0.686 68 ± 77 6.3 ± 1.7<br />

7 1.541 32 ± 16 35.4 ± 8.0<br />

8 1.728 30 ± 18 21.0 ± 4.2<br />

9 1.915 38 ± 22 19.8 ± 3.2<br />

10 9.219 122 ± 30 8.6 ± 2.7<br />

11 10.433 49 ± 26 13.0 ± 2.6<br />

12 12.439 91 ± 39 8.9 ± 1.9<br />

13 a,b 17.641 . . . 6.5 ± 1.6<br />

14 a,b 20.257 . . . 5.4 ± 1.4<br />

15 a,b 21.355 . . . 4.6 ± 1.3<br />

16 a,b 23.814 . . . 6.5 ± 1.6<br />

a Usually attributed to background.<br />

b Quoted after Loredo and Lamb (1995).

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