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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Anomalous Stellar Energy Losses Bounded by Observations 35<br />

remaining <strong>for</strong> an HB star after m<strong>as</strong>s loss on the RGB will still depend<br />

on its initial value, rendering this a rather natural possibility. However,<br />

it implies that the globular clusters of our galaxy did not <strong>for</strong>m<br />

at the same time—an age spread of several Gyr is required with the<br />

older clusters predominantly at smaller galactocentric distances (Lee,<br />

Demarque, and Zinn 1994 and references therein). Apart from some<br />

anomalous c<strong>as</strong>es such an age spread appears to be enough to explain<br />

the second parameter phenomenon.<br />

Returning to the inner structure of an HB star, it evolves quietly<br />

at an almost fixed total luminosity (Fig. 2.6). The core constitutes<br />

essentially a “helium main-sequence star.” Because its inner core is<br />

convective it dredges helium into the nuclear furnace at the very center,<br />

leaving a sharp composition discontinuity at the edge of the convective<br />

region (Fig. 2.4). After some 12 C h<strong>as</strong> been built up, 16 O also <strong>for</strong>ms. At<br />

the end of the HB ph<strong>as</strong>e, the helium core h<strong>as</strong> developed an inner core<br />

consisting of carbon and oxygen.<br />

2.1.5 From Asymptotic Giants to White Dwarfs<br />

After the exhaustion of helium at the center a degenerate carbonoxygen<br />

(CO) core <strong>for</strong>ms with helium shell burning and continuing hydrogen<br />

shell burning (Fig. 2.5). Again, the star grows progressively<br />

brighter and inflates. Put another way, it becomes very similar to a<br />

star which first <strong>as</strong>cended the RGB: it <strong>as</strong>cends its Hay<strong>as</strong>hi line <strong>for</strong> a<br />

second time. The track in the Hertzsprung-Russell diagram <strong>as</strong>ymptotically<br />

approaches that from the first <strong>as</strong>cent (“<strong>as</strong>ymptotic giants”).<br />

The upper RGB can be observationally difficult to distinguish from the<br />

<strong>as</strong>ymptotic giant branch (AGB) even though they are re<strong>as</strong>onably well<br />

separated in Fig. 2.3.<br />

In low-m<strong>as</strong>s stars carbon and oxygen never ignite. The shell sources<br />

extinguish when most of the helium and hydrogen h<strong>as</strong> been consumed<br />

so that the star h<strong>as</strong> lost its entire envelope either by hydrogen burning<br />

or by further m<strong>as</strong>s loss on the AGB. The remaining degenerate CO<br />

star continues to radiate the heat stored in its interior. At first these<br />

stars are rather hot, but geometrically very small with a typical radius<br />

of 10 4 km. Their small surface area restricts their luminosity in<br />

spite of the high temperature and so they are referred to <strong>as</strong> “white<br />

dwarfs.” Because they are supported by electron degeneracy pressure,<br />

their remaining evolution is cooling by neutrino emission from the interior<br />

and by photon emission from the surface until they disappear<br />

from visibility.

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