A Constraint on the Pair Density Ratio (Z+) in an Electron-Positron Pair Wind

We derive a constraint on the pair density ratio, z₊ = n₊/n_p, in an electron-positron pair wind flowing away from the central region of an accretion disk around a compact object under the assumption of a coupling between electrons, positrons, and protons. The minimum rate at which positrons are injected into the annihilation volume is given by the observed annihilation flux per unit volume. This rate is then used to determine a minimum mass loss rate per unit area, M(dot)_* for a given pair density ratio at the base of the streamline. The requirement that M(dot)_* less than M(dot)_*Edd (the mean Eddington mass loss rate per unit area) then places a lower limit on the pair density ratio, z_+,min. A positron annihilation line was observed in Nova Muscae 1991 by GRANAT/SIGMA. The narrow width and redshift of the line suggest that the pair production and annihilation regions are physically distinct. We hypothesize that an electron-positron pair wind transports the pairs from the production to the annihilation region and calculate z₊,_min. We then determine constraints on the physical parameters on the pair production region by comparing z₊,_min with previous studies of two-temperature and one-temperature accretion disks with electron-positron pairs.