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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Anomalous Stellar Energy Losses Bounded by Observations 37<br />

2.1.7 Intermediate-M<strong>as</strong>s <strong>Stars</strong><br />

The evolutionary scenario described so far applies to stars with a m<strong>as</strong>s<br />

below 2−3 M ⊙ . For larger m<strong>as</strong>ses the core conditions evolve continuously<br />

to the ignition of helium which is then a quiet process. For a<br />

given chemical composition the transition between the two scenarios is<br />

a sharp function of the total m<strong>as</strong>s. Because red giants are very bright<br />

they dominate the total luminosity of an old stellar population so that<br />

this transition affects its integrated brightness in a discontinuous way.<br />

Some authors have used the concept of an “RGB ph<strong>as</strong>e transition” to<br />

describe this phenomenon (Sweigart, Greggio, and Renzini 1990, and<br />

references therein; Bica et al. 1991).<br />

<strong>Stars</strong> with m<strong>as</strong>ses of up to 6−8 M ⊙ are expected to end up <strong>as</strong> CO<br />

white dwarfs. Their evolution on the AGB can involve many interesting<br />

phenomena such <strong>as</strong> “thermal pulses”—<strong>for</strong> a key to the literature see<br />

Iben and Renzini (1984). Intermediate-m<strong>as</strong>s stars have thus far played<br />

little role <strong>for</strong> the purposes of particle <strong>as</strong>trophysics, and so their evolution<br />

does not warrant further elaboration in the present context.<br />

2.1.8 M<strong>as</strong>sive <strong>Stars</strong> and Type II Supernovae<br />

The course of evolution <strong>for</strong> m<strong>as</strong>sive stars (M > 6−8 M ⊙ ) is qualitatively<br />

different because they ignite carbon and oxygen in their core,<br />

allowing them to evolve further. This is possible because even after<br />

m<strong>as</strong>s loss they are left with enough m<strong>as</strong>s that their CO core grows<br />

toward the Chandr<strong>as</strong>ekhar limit. Near that point the density is high<br />

enough to ignite carbon which causes heating and thus temporarily relieves<br />

the electron degeneracy. Next, the <strong>as</strong>hes of carbon burning (Ne,<br />

Mg, O, Si) <strong>for</strong>m a degenerate core which ultimately ignites Ne burning,<br />

and so <strong>for</strong>th. Ultimately, the star h<strong>as</strong> produced a degenerate iron core,<br />

surrounded by half a dozen “onion rings” of different burning shells.<br />

The game is over when the iron core reaches its Chandr<strong>as</strong>ekhar limit<br />

because no more nuclear energy can be rele<strong>as</strong>ed by fusion. The temperature<br />

is at 0.8×10 10 K = 0.7 MeV, the density at 3×10 9 g cm −3 , and<br />

there are about Y e = 0.42 electrons per baryon. Further contraction<br />

leads to a negative feedback on the pressure <strong>as</strong> photons begin to dissociate<br />

iron, a process which consumes energy. Electrons are absorbed<br />

and converted to neutrinos which escape, lowering the electron Fermi<br />

momentum and thus the pressure. There<strong>for</strong>e, the core becomes unstable<br />

and collapses, a process which is intercepted only when nuclear<br />

density (3×10 14 g cm −3 ) is reached where the equation of state stiffens.

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