Inverse Compton power and cooling time in a quantum Fermi-Dirac plasma including the quantum degeneracy pressure

Abstract

The inverse Compton power is investigated in relativistically degenerate quantum Fermi-Dirac plasmas including the influence of quantum statistical degeneracy pressure. The ordinary and double Compton scattering cross sections, the inverse Compton power, and the cooling time are obtained in Fermi-Dirac plasmas. It is shown that the differential Compton scattering cross section has a maximum at the small wave number domain. However, the differential Compton scattering cross section increases with an increase of the wave number in the case of a large relativistic degeneracy parameter. It is interesting to note that the differential Compton scattering cross section in the backward scattering region is greater than that in the forward scattering region when the degeneracy pressure is large. It is also shown that the double Compton scattering process is quite suppressed in the forward scattering domain. It is also shown that the inverse Compton power increases with an increase of the relativistic degeneracy parameter. It is also shown that the influence of the relativistic degeneracy on the inverse Compton power is more significant for small plasmon energies. In addition, it is found that the cooling time due to the inverse Compton process decreases with an increase of the relativistic degeneracy parameter. Published by AIP Publishing.