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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Supernova Neutrinos 399<br />

beyond the sonic point at the edge of the inner core which now encomp<strong>as</strong>ses<br />

about 0.8 M ⊙ . As material continues to fall onto the inner core<br />

at supersonic velocities a shock wave builds up at the sonic point which<br />

is at the edge of the inner core, not at its center. As more material<br />

moves in, more and more energy is stored in this shock wave which<br />

almost immediately begins to propagate outward into the collapsing<br />

outer part of the iron core—see the thick solid line in Fig. 11.1. Assuming<br />

that enough energy is stored in the shock wave it will eventually<br />

eject the stellar mantle outside of what w<strong>as</strong> the iron core. The rebound<br />

or “bounce” of the collapse turns the implosion of the core into an<br />

explosion of the outer star—a SN occurs.<br />

This “bounce and shock” scenario of SN explosions w<strong>as</strong> first proposed<br />

by Colgate and Johnson (1960) and then elaborated by a number<br />

of authors (see Brown, Bethe, and Baym 1982 and references therein).<br />

In practice, however, the story of SN explosions appears to be more<br />

complicated than this “prompt explosion scenario.” Neutrino losses<br />

and the dissociation of the iron material through which the shock wave<br />

propagates dissipate much of the shock’s energy so that in typical calculations<br />

it stalls and eventually recollapses. It is currently believed that<br />

the energy deposition by neutrinos revives the shock wave, leading to<br />

the “delayed explosion scenario” detailed in Sect. 11.1.3 below.<br />

11.1.2 Deleptonization and Cooling<br />

After core bounce and the <strong>for</strong>mation of a shock wave the next dramatic<br />

step in the evolution of the core is when the outward propagating<br />

shock breaks through the “neutrino sphere,” i.e. the shell within which<br />

neutrinos are trapped, most effectively by the coherent scattering on<br />

heavy nuclei. As the p<strong>as</strong>sage of the shock wave dissociates these nuclei,<br />

it is e<strong>as</strong>ier <strong>for</strong> neutrinos to escape. Moreover, the protons newly<br />

liberated from the iron nuclei allow <strong>for</strong> quick neutronization by virtue<br />

of e − + p → n + ν e , causing a short ν e burst which is often called the<br />

“prompt ν e burst” or “deleptonization burst” (ph<strong>as</strong>e No. 2 in Figs. 11.1<br />

and 11.3). However, the material which is quickly deleptonized encomp<strong>as</strong>ses<br />

only a few tenths of a solar m<strong>as</strong>s so that most of the leptons<br />

remain trapped in the inner core (Fig. 11.2).<br />

At this stage, the object below the shock h<strong>as</strong> become a “protoneutron<br />

star.” It h<strong>as</strong> a settled inner core within the radius where the<br />

shock wave first <strong>for</strong>med and which consists of neutrons, protons, electrons,<br />

and neutrinos (lepton fraction Y L ≈ 0.35). The protoneutron<br />

star also h<strong>as</strong> a bloated outer part which h<strong>as</strong> lost a large fraction of

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