Pair creation at shocks: Application to the high energy emission of compact objects

Abstract

We investigate the eect of pair creation on a shock structure. Particles, accelerated in the shock via the rst order Fermi process, are supposed to cool by the inverse Compton process on external soft photons, resulting in a cut-o power law shape of the particle distribution function. The high energy photons produced are thus able to create pairs, through photon-photon annihilation. The increase of the pair pressure may then be sucient to modify the shock prole. We show that there is even a limit of the pair pressure (of the order of 20% of the ram pressure of the upstream flow) above which the shock can no longer exist. Conversely, signicant changes of the flow velocity prole will also modify the spectral index and the high energy cut{o of the particle distribution function. Hence the number of particles able to trigger the pair creation process will change, modifying the pair creation rate accordingly. Taking into account these dierent processes, we self-consistently derive the flow velocity prole and the particle distribution function. We show that, in some regions of the parameter space, the system can converge towards stationary states where pair creation and hydrodynamical eects balance. We discuss the application of this model to explain the high energy emission observed in compact objects. We show that hard X-ray spectra (X < 1:) are only obtained for low pair pressures and we don't expect any strong annihilation line in this case. We also suggest a possible variability mechanism if the soft photon compactness itself depends on the pair density of the hot plasma, such as is expected in reillumination models.