Effective Compton Cross Section in Non-Degenerate High Temperature Media

The effective compton cross section in a non-degenerate plasma($n\ll\{\frac{(kT/c)^{2}+2mkT}{h^{2}}\}^{^{3/2}}$) is investigated in a wide range of temperatures. The results show a decreasing behavior with temperature especially for $kT\gg m_{e}c^{2}$. The $may be important in phenomena like accretion discs or ultra-relativistic blast waves in GRB models, where the emitted radiation has to pass through a medium containing high energy electrons.