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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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What Have We Learned from SN 1987A 513<br />

13.6 How Many Neutrino Flavors<br />

One may <strong>as</strong>k how the neutrino signal from a SN would be modified<br />

if there existed additional light sequential neutrino flavors beyond ν e ,<br />

ν µ , and ν τ . Of course, the Z ◦ decay width me<strong>as</strong>ured at CERN already<br />

reveals that there are exactly three sequential neutrino flavors (Particle<br />

Data <strong>Group</strong> 1994); the same conclusion is reached from studies of big<br />

bang nucleosynthesis (e.g. Kolb and Turner 1990).<br />

Burrows, Ressell, and Turner (1990) calculated several protoneutron<br />

star cooling sequences, varying the number of flavors from 3, the<br />

standard value, to 11. This incre<strong>as</strong>es the efficiency of energy transfer<br />

within the SN core and also allows <strong>for</strong> a more efficient radiation from<br />

the neutrino sphere <strong>as</strong> there are more degrees of freedom. Thus one<br />

expects a shortened signal in the Kamiokande II and IMB detectors,<br />

<strong>as</strong> well <strong>as</strong> a reduced number of events because the available energy is<br />

shared between more neutrino degrees of freedom of which mostly the<br />

Fig. 13.6. Number of events N KII and N IMB in the Kamiokande and IMB<br />

detectors <strong>as</strong> well <strong>as</strong> the signal duration t KII and t IMB (in sec) <strong>as</strong> a function<br />

of the <strong>as</strong>sumed number of neutrino flavors (Burrows, Ressell, and Turner<br />

1990). The signal duration is defined <strong>as</strong> the time it takes to accrue 90% of<br />

the total expected number of events.

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