Klein-Nishina Corrections to the Spectra and Light Curves of Gamma-ray Burst Afterglows
arxiv(2024)
摘要
Multi-wavelength modeling of the synchrotron radiation from relativistic
transients such as Gamma-ray Burst (GRB) afterglows is a powerful means of
exploring the physics of relativistic shocks and of deriving properties of the
explosion, such as the kinetic energy of the associated relativistic outflows.
Capturing the location and evolution of the synchrotron cooling break is
critical to break parameter degeneracies associated with such modeling.
However, the shape of the spectrum above the cooling break, as well as the
location and evolution of the break itself can be significantly altered by
synchrotron self-Compton (SSC) cooling. We present an observer's guide to
applying SSC cooling with and without Klein-Nishina (KN) corrections to GRB
afterglow modeling. We provide a publicly available python code to calculate
the Compton Y-parameter as a function of electron Lorentz factor, from which
we compute changes to the electron distribution, along with KN-corrected
afterglow spectra and light curves. In this framework, the canonical
synchrotron spectral shapes split into multiple sub-regimes. We summarize each
new spectral shape and describe its observational significance. We discuss how
KN corrections can account for harder spectra and shallower decline rates
observed in some GRB X-ray afterglows. Our overall aim is to provide an easy
application of SSC+KN corrections into analytical multi-wavelength modeling
frameworks for relativistic transients.
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