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Proc. Neutrino Astrophysics - MPP Theory Group

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Phenomenology of Supernova Explosions<br />

Wolfgang Hillebrandt<br />

Max-Planck-Institut für Astrophysik, D-85748 Garching, Germany<br />

Abstract<br />

An attempt is made to match observed properties of supernovae, such as spectra, lightcurves<br />

etc. with theoretical ideas and predictions. It is demonstrated that neither do observational<br />

data constrain the models in a unique way nor does theory allow for an unambiguous interpretation<br />

of the data. Possible improvements on the theoretical side are briefly discussed.<br />

Some Observational Facts<br />

In general, supernovae are classified according to their maximum light spectra. Those showing<br />

Balmer lines of H are called Type II’s, and all the others are of Type I. Those Type I’s which<br />

show a strong Si absorption feature at maximum light are named Type Ia, and the others are<br />

Ib’s or Ic’s, depending on whether or not they have also He I features in their spectra [1]. At<br />

later times, several months after the explosion, when the supernova ejecta become optically<br />

thin, Type II spectra are dominated by emission lines of H, O, and Ca, whereas Type Ia’s<br />

have no O, but Fe and Co. Type Ib,c’s, on the other hand side, show emission lines of O and<br />

Ca, just like the Type II’s [1]. However, the spectral classification is not always as clear. For<br />

example, SN 1987K started out as a Type II with H lines, but changed into a Type Ib,c like<br />

spectrum after 6 months [2].<br />

As far as the light curves are concerned, Type II’s seem to be more complicated than<br />

Type I’s. Type II-L are characterized by a peak lasting for about 100 days, followed by a<br />

“linear” decay in the blue magnitude vs. time diagram. In contrast, Type II-P’s have a<br />

somewhat wider peak, followed by a “plateau” phase and an occasionally rather complicated<br />

tail decaying not like a single exponential. Typically, Type II-L’s are brighter than Type II-<br />

P’s in the blue. In addition, there are objects like SN 1987A which possess a very complicated<br />

light curve, with an early narrow peak, a first minimum, followed by a broad hump after a<br />

few months, and a final nearly exponential decay with indications of some flattening at late<br />

times. SN 1987A-like objects are much dimmer than all other Type II’s [1].<br />

In contrast, all Type Ia light curves are quite similar, making them good candidates for<br />

standard candles to measure the cosmic distance scale. Moreover, since they are the brightest<br />

among all supernovae, they can be observed even at high redshifts and, in fact, a Type Ia<br />

supernova at a redshift of about 1 has recently been observed [3]. Although their absolute<br />

peak luminosity may vary by about one magnitude, an observed correlation between the<br />

luminosity and light curve shape (the brighter ones have broader light curves) allows one<br />

to correct for the differences. So recently observations of Type Ia’s have become a powerful<br />

tool in attempts to determine cosmological parameters [3]. Of course, one has to make sure<br />

that the supernovae one is observing are indeed of Type Ia, and not of Type Ib,c which are<br />

intrinsically fainter, but this can be achieved if a spectrum near maximum light is available.<br />

Other observational information on supernovae is, in general, less solid. With the exception<br />

of SN 1987A, we do not have direct information on the properties of the progenitors,<br />

the energetics, or the masses of the ejecta and of the (compact) remnants, if there are any.<br />

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