A dynamical model of type I supernova atmosphere with the velocity gradient

A compact structure of a low-mass Type I presupernovae is assumed to be an essential feature of the hydrodynamical problem dealing with the supernova Type I (SNI) envelope outbursts. This structure is characterized by a degenerate carbon-oxygen core, which suffers a thermonuclear explosion of carbon fuel (M ₀≃1.40M _⊙), and by a compact lowmass envelope (M _e ≲0.1M _⊙) with external radiusR _e≃10⁹ cm. The parameters, of this hydrostatic envelope are specified and then, for a relatively small explosion energy, ofW ₀≃(2–10)×10⁴⁹ erg, hydrodynamic problem of the envelope ejection is solved numerically. This energy comes from neutrino-induced detonative carbon burning. The resulting structure of the SNI atmosphere expanding with the velocity gradient can be employed for an interpretation of the observed SNI spectra. In accordance with our previous papers, the SNI light curves are considered to occur due to an additional slow (with time-scale 10⁶–10⁷ s) release of the bulk of the SNI energy,W≃10⁵¹, erg. The slow energy release does not, however, affect the structure of the outermost expanding layers of the envelope which are responsible for the SNI spectra. A short (Δt≃10⁻² s) burst of soft (2–10 keV) X-rays with total radiated energy of about 10⁴⁰ erg is found to appear 10–20 days before the SNI optical maximum.