George A. McCarthy
Gamma ray bursts are among the most energetic emission events in the known universe, in which a vast amount of electromagnetic energy is released. Correct interpretation of the light we observe from gamma-ray bursts is essential to understanding the processes which drive them. The light observed shortly after the initial burst, known as an afterglow, is in general reasonably well fit by models of synchrotron radiation, produced by relativistic electrons gyrating in magnetic fields. However, from such a model we derive that the electrons within the material shocked by the burst are often able to cool not only by synchrotron emission but by other processes too. Specifically, through the synchrotron self-Compton (SSC) process electrons cool by up-scattering their own synchrotron radiation. Including the effect of SSC cooling is expected to significantly change the underlying electron energy distribution and hence the observed spectrum. The amount that we expect SSC cooling to affect the observed spectrum is quantified by the Compton Y-parameter and by finding Y we can find the corrected observed spectrum. The electron scattering probability changes with the energy of the participating electron and photon and therefore so does Y. I present Y with and without an energy dependent scattering cross section by solving analytical equations and through iterative integration. I compare the GRB parameters derived from using each Y.