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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Supernova Neutrinos 443<br />

sense that less additional energy is transferred because the stoch<strong>as</strong>tic<br />

density field can prevent a complete swap of the neutrino spectra. On<br />

the other hand, <strong>for</strong> the r-process prevention a complete swap is not<br />

necessary. There<strong>for</strong>e, the mixing parameters <strong>for</strong> which r-process nucleosynthesis<br />

is prevented by oscillations is not significantly changed, even<br />

if the amplitude of the stoch<strong>as</strong>tic density component is <strong>as</strong> large <strong>as</strong> 1%.<br />

11.5 Neutrino Propulsion of Neutron <strong>Stars</strong><br />

Shortly after the discovery of pulsars (neutron stars) it became clear<br />

that they tend to have the largest peculiar velocities of all stellar populations.<br />

Recent determinations of pulsar proper motions by radiointerferometric<br />

methods (Bailes et al. 1990; Fomalont et al. 1992; Harrison,<br />

Lyne, and Anderson 1993) and by interstellar scintillation observations<br />

(Cordes 1986) reveal typical speeds of a few 100 km s −1 . Taking<br />

into account selection effects against high-velocity pulsars, Lyne<br />

and Lorimer (1994) argued that the mean pulsar velocity at birth w<strong>as</strong><br />

450 ± 90 km s −1 . Associating certain pulsars and SN remnants would<br />

indicate velocities of up to 2000 km s −1 (Frail and Kulkarni 1991; Caraveo<br />

1993; Stewart et al. 1993) while the interaction of PSR 2224+65<br />

with its local environment produces a nebula which reveals a transverse<br />

velocity of at le<strong>as</strong>t 800 km s −1 (Cordes, Romani, and Lundgren 1993).<br />

There<strong>for</strong>e, the distribution of pulsar peculiar speeds appears to<br />

have a mean of 400−500 km s −1 with the largest me<strong>as</strong>ured values of<br />

1000−2000 km s −1 . Recall that the galactic rotation velocity is about<br />

200 km s −1 , the escape velocity about 500 km s −1 . There<strong>for</strong>e, the f<strong>as</strong>test<br />

pulsars will eventually escape from the galaxy. In most c<strong>as</strong>es the migration<br />

is away from the galactic disk in agreement with the picture<br />

that pulsars are born in the disk where m<strong>as</strong>sive stars can <strong>for</strong>m from<br />

the interstellar g<strong>as</strong>. However, there seem to be a few puzzling c<strong>as</strong>es of<br />

pulsars which move toward the disk, apparently having <strong>for</strong>med in the<br />

galactic halo.<br />

M<strong>as</strong>sive stars probably do not <strong>for</strong>m with much larger velocities than<br />

other stars and so pulsars are likely accelerated in conjunction with the<br />

SN collapse that produced them or during their early evolution. One<br />

suggestion <strong>for</strong> an acceleration mechanism holds that large neutron-star<br />

“kick velocities” are related to the breakup of close binaries, notably<br />

during the SN explosion of the second binary member (Gott, Gunn,<br />

and Ostriker 1970; Dewey and Cordes 1987; Bailes 1989; see also the<br />

review by Bhattacharya and van den Heuvel 1991).

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