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Nearby Supernova Factory: Étalonnage des données de SNIFS et ...

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tel-00372504, version 1 - 1 Apr 2009<br />

CHAPTER 2. OBSERVATIONAL COSMOLOGY<br />

expand, instead fueling even more the helium burning), increases the temperature continually,<br />

and as it approaches the Fermi temperature the electrons become once again non-<strong>de</strong>generate<br />

and the helium-flash stops.<br />

The star then burns qui<strong>et</strong>ly all the helium in the core, creating carbon and oxygen until (as<br />

in earlier phases), the core fuel ends and the reactions continue in an outer shell of helium. Once<br />

again the star expands, and since the helium burning reaction (triple-alpha) is very sensitive to<br />

temperature, the star will enter a pulsating phase, where the balance b<strong>et</strong>ween internal pressure<br />

and gravity changes as the star expands (and the temperature <strong>de</strong>creases) or contracts (and the<br />

temperature increases). These pulsations generate a very strong outflow of mass from the stars<br />

surface, which will gradually scatter its envelope in the form of an expanding shell heated by<br />

the hot core, a plan<strong>et</strong>ary nebula 3 . The core, constituted of a <strong>de</strong>generate carbon and oxygen gas,<br />

continues to contract and cool, and a WD is formed.<br />

The WD’s exotic constitution makes it a strange object: the more massive it is the smaller<br />

it g<strong>et</strong>s (a WD with the mass of the Sun would be roughly the size of the Earth). Besi<strong><strong>de</strong>s</strong>, a WD<br />

is only stable up to a specific mass, the Chandrasekhar mass (Chandrasekhar 1931) of ∼ 1.4M⊙,<br />

above which the <strong>de</strong>generate electron gas pressure cannot counter the gravitational collapse.<br />

That is the key behind the SNe Ia: if we have a WD in a binary system (the single-<strong>de</strong>generate<br />

scenario), accr<strong>et</strong>ing matter from a companion (Fig. 2.5), its mass will steadily increase up to the<br />

Chandrasekhar limit. At that moment, the <strong>de</strong>nsity in the core is such that carbon fusion ignites,<br />

leading to the production of 56 Ni. As we have already seen, thermonuclear fusion is unstable<br />

in the <strong>de</strong>generate matter, in the sense that it does not allow the mo<strong>de</strong>ration of the burning by<br />

expansion. A nuclear instability ensues, followed by a nuclear burning front that propagates<br />

through the star and explo<strong><strong>de</strong>s</strong> it compl<strong>et</strong>ely.<br />

A new SNe Ia then appears in the sky and its luminosity peaks in just a few days. The<br />

consequent <strong>de</strong>crease of the light curve over several months cannot be powered by the explosion<br />

itself, since temperature <strong>de</strong>creases too fast, and is explained instead by the radioactive <strong>de</strong>cay of<br />

the 56 Ni produced during the carbon fusion, into its daughter nucleus: 56 Ni → 56 Co → 56 Fe.<br />

While accounting for the relative SNe Ia homogeneity (related to the limit imposed by<br />

the Chandrasekhar mass), not all the physical processes behind this mo<strong>de</strong>l are y<strong>et</strong> fully un<strong>de</strong>rstood.<br />

Several flame propagation and explosion scenarios are proposed (Hillebrandt and<br />

Niemeyer 2000), and <strong><strong>de</strong>s</strong>pite the huge improvement in recent years, numerical hydrodynamical<br />

simulations of SNe Ia explosions are still incapable of providing an accurate enough <strong><strong>de</strong>s</strong>cription<br />

of observations (Roepke 2008).<br />

Core-collapse supernovæ<br />

The fact that type II or Ib/c supernovæ are absent from the elliptical galaxies, which contain<br />

only old, low-mass stars, makes a strong point on their origin as the gravitational collapse of<br />

a massive star. In the core of their progenitors (stars with mass higher than ∼ 10 M⊙), the<br />

hydrostatical equilibrium holds as long as the fusion reactions burn the available hydrogen and<br />

form heavier and heavier elements, up to iron. The star has then an “onion-layer” structure,<br />

with layers of different composition, from the iron in the core to the hydrogen 4 in the envelope.<br />

Since no further exothermic reactions are possible, as the iron core mass continues to increase, it<br />

reaches the Chandrasekhar mass and the internal (<strong>de</strong>generate electron) pressure can no longer<br />

counterbalance gravity. The star collapses until the core attains a large enough <strong>de</strong>nsity and<br />

3 Historically called this way, since it looks like a plan<strong>et</strong> when viewed through a small telescope.<br />

4 In the case of SNe II. SNe Ib progenitors are thought to have lost their hydrogen layer due to strong stellar<br />

winds or interaction with a binary companion, while SNe Ic would lose their helium layer as well.<br />

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