SLIDE 7 GRB Spectral Properties
- The most frequently used model is the Band’s GRB function, first introduced by Band et al.
(1993):
- If beta < -2 then Epeak represents the peak energy in the vFv spectrum. The Band function has
been successfully fitting most of the GRB spectra (both time-averaged and time-resolved, e.g. Preece et al. 1998; Kaneko et al. 2006; Goldstein et al. 2012; Gruber et al. 2013, in prep.). However, it bears no physical origin and is completely empirical
- The simplest and most intuitive physical emission mechanism of the fireball model is the
synchrotron emission by electrons in the shocked materials, which provides theoretical predictions for the power-law indices and the break frequencies of the spectrum (Rees & Mészáros 1992, 1994; Mészáros & Rees 1993; Katz 1994; Tavani 1996)
- With certain physical assumptions, it predicts the value of alpha to be within -2/3 and -3/2
(the so-called “synchrotron line-of-death” and the “second line-of-death” respectively, see Preece et al. 2002). The difference in alpha and beta can also be used to constrain some physical parameters (Preece et al. 2002). There are also works done using physical models to fitting the data (e.g. the synchrotron cooling + blackbody model used in Burgess et al. 2011, 2013, in prep.)
Hoi-Fung Yu: Fermi GBM Time-resolved Spectroscopy - 08.07.2013