Positron propagation in semi-relativistic plasmas: particle spectra and the annihilation line shape
I. V. Moskalenko 1, 2 and
E. Jourdain 1
Received 20 July 1995 / Accepted 4 February 1997
By solving the Fokker-Planck equation directly we examine the effects of annihilation, particle escape and injection on the form of a steady-state positron distribution in thermal hydrogen plasmas with . The positron fraction considered is small enough, so it does not affect the electron distribution which remains Maxwellian. We show that the escape of positrons in the form of electron-positron pairs and/or pair plasma, e.g. due to the diffusion or radiation pressure, has an effect on the positron distribution causing, in some cases, a strong deviation from a Maxwellian. Meanwhile, the distortion of the positron spectrum due to only annihilation is not higher than a few percent and the annihilation line shape corresponds to that of thermal plasmas. Additionally, we present accurate formulas in the form of a simple expression or a one-fold integral for energy exchange rates, and losses due to Moller and Bhabha scattering, -, ee - and ep -bremsstrahlung in thermal plasmas as well as due to Compton scattering in the Klein-Nishina regime.
Suggesting that annihilation features observed by SIGMA telescope from Nova Muscae and the 1E 1740.7-2942 are due to the positron/electron slowing down and annihilation in thermal plasma, the electron number density and the size of the emitting regions have been estimated. We show that in the case of Nova Muscae the observed radiation is coming from a pair plasma stream () rather than from a gas cloud. We argue that two models are probably relevant to the 1E 1740.7-2942 source: annihilation in (hydrogen) plasma at rest, and annihilation in the pair plasma stream, which involves matter from the source environment.
Key words: diffusion plasmas radiation mechanisms: nonthermal Galaxy: center gamma rays: theory
Send offprint requests to: I.V. Moskalenko
© European Southern Observatory (ESO) 1997
Online publication: May 5, 1998