A Two-Component Model for the Light Curves of Hypernovae

The light curves of 'hypernovae', i.e. very energetic supernovae with $E_{51} \equiv E/10^{51}$ergs $\gsim 5-10$ are characterized at epochs of a few months by a phase of linear decline. Classical, one-dimensional explosion models fail to simultaneously reproduce the light curve near peak and at the linear decline phase. The evolution of these light curves may however be explained by a simple model consisting of two concentric components. The outer component is responsible for the early part of the light curve and for the broad absorption features observed in the early spectra of hypernovae, similar to the one-dimensional models. In addition, a very dense inner component is added, which reproduces the linear decline phase in the observed magnitude-versus-time relation for SNe 1998bw, 1997ef, and 2002ap. This simple approach does contain one of the main features of jet-driven, asymmetric explosion models, namely the presence of a dense core. Although the total masses and energies derived with the two-component model are similar to those obtained in previous studies which also adopted spherical symmetry, this study suggests that the ejecta are aspherical, and thus the real energies and masses may deviate from those derived assuming spherical symmetry. The supernovae which were modeled are divided into two groups, according to the prominence of the inner component: the inner component of SN 1997ef is denser and more $^{56}$Ni-rich, relative to the outer component, than the corresponding inner components of SNe 1998bw and 2002ap. These latter objects have a similar inner-to-outer component ratio, although they have very different global values of mass and energy.