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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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522 Chapter 13<br />

As the r.h. neutrinos escape from the inner core with much larger energies<br />

than those from the neutrino sphere one would expect high-energy<br />

events in the Kamiokande and IMB detectors, contrary to the observations.<br />

There<strong>for</strong>e, one probably needs to require µ < ν ∼ 10 −12 µ B <strong>for</strong> the<br />

diagonal dipole moments; spin-flavor oscillations could be suppressed<br />

by the neutrino m<strong>as</strong>s differences. As the spin precession is the same <strong>for</strong><br />

all neutrino energies, this limit would not apply if the Earth happened<br />

to be in a node of the oscillation pattern between SN 1987A and us.<br />

Neutrino magnetic moments of order 10 −12 µ B could also affect the<br />

infall ph<strong>as</strong>e of SNe. The spin-flip scattering on nuclei would be coherently<br />

enhanced relative to protons. There<strong>for</strong>e, neutrinos could escape<br />

in the r.h. channel <strong>for</strong> much longer so that effectively trapping would<br />

set in much later than in the standard picture (Nötzold 1988).<br />

In and near the SN core there probably exist strong magnetic fields<br />

of order 10 12 Gauss or more which would induce spin-precessions between<br />

r.h. and l.h. neutrinos. There<strong>for</strong>e, the sterile states produced in<br />

the deep interior by spin-flip scattering could back-convert into active<br />

ones near the neutrino sphere. Depending on details of the matterinduced<br />

neutrino energy shifts, the vacuum m<strong>as</strong>s differences, and the<br />

magnetic field strengths and configurations this conversion could take<br />

place inside or outside of the neutrino sphere. The observable neutrino<br />

signal could be affected, but also the energy transfer within the SN core<br />

and outside of the neutrino sphere. Perhaps, a more efficient transfer of<br />

energy to the stalled shock wave could help to explode SNe in the delayed<br />

explosion scenario. Various <strong>as</strong>pects of these scenarios have been<br />

studied by Dar (1987), Nussinov and Rephaeli (1987), Goldman et al.<br />

(1988), Voloshin (1988), Okun (1988), Blinnikov and Okun (1988), and<br />

Athar, Peltoniemi, and Smirnov (1995).<br />

Clearly, Dirac magnetic or transition moments in the 10 −12 µ B range<br />

and below would affect SN dynamics and the observable neutrino signal<br />

in interesting ways. However, because there are so many parameters<br />

and possible field configurations, it is hard to develop a clear view of<br />

the excluded or desired neutrino properties. If compelling evidence <strong>for</strong><br />

nonstandard neutrino electromagnetic properties in this range were to<br />

emerge, SN dynamics likely would have to be rethought from scratch.<br />

13.8.4 Millicharges<br />

Within the particle physics standard model it is not entirely impossible<br />

that neutrinos have small electric charges (Sect. 15.8). In this<br />

c<strong>as</strong>e neutrinos would have to be Dirac fermions and so the r.h. states

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