Mathematics – Logic
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...445..828m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 445, no. 2, p. 828-839
Mathematics
Logic
10
Continuums, Radiative Transfer, Spectrum Analysis, Stellar Atmospheres, Supernovae, Abundance, Energy Spectra, Lyman Spectra, Photoionization, Recombination Reactions, Stellar Luminosity, Stellar Temperature
Scientific paper
We extend the approximate radiative transfer analysis of Hershkowitz, Linder, & Wagoner (1986) to a more general class of supernova model atmospheres, using a simple fit to the effective continuum opacity produced by lines (Wagoner, Perez, & Vasu 1991). At the low densities considered, the populations of the excited states of hydrogen are governed mainly by photoionization and recombination, and scattering dominates absorptive opacity. We match the asymptotic expressions for the spectral energy density Jnu at the photosphere, whose location at each frequency is determined by a first-order calculation of the deviation of Jnu from the Planck function Bnu. The emergent spectral luminosity then assumes the form Lnu = 4 pi(squared)r(squared)* zeta(squared)Bnu(Tp), where Tp(nu) is the photospheric temperature zeta is the dilution factor, and r* is a fiducial radius (ultimately taken to be the photospheric radius rp(nu)). The atmosphere is characterized by an effective temperature Te (varies as L1/4r-1/2*) and hydrogen density nH = dependence of zeta on frequency nu and the parameters Tp, rp, and alpha. The resulting understanding of the dependence of the spectral luminosity on observable parameters which characterize the relevant physical conditions will be of particular use in assessing the reliability of the expanding photosphere method of distance determination. This is particularly important at cosmological distances, where no information about the progenitor star will be available. This technique can also be applied to other low-density photosphere.
Montes Marcos J.
Wagoner Robert V.
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